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    <title>topic Re: Help me verify answers by using SAS output in Statistical Procedures</title>
    <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402700#M20990</link>
    <description>&lt;P&gt;The problem says "(a) through (c) without using software," which I assume the OP can do. The OP was asking about part (d), "Verify your answers by using SAS output."&lt;/P&gt;</description>
    <pubDate>Tue, 10 Oct 2017 12:05:09 GMT</pubDate>
    <dc:creator>Rick_SAS</dc:creator>
    <dc:date>2017-10-10T12:05:09Z</dc:date>
    <item>
      <title>Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402614#M20984</link>
      <description>&lt;BLOCKQUOTE&gt;&lt;P&gt;&lt;FONT size="2" face="arial,helvetica,sans-serif"&gt;&lt;SPAN&gt;Hi Everyone,&lt;/SPAN&gt;&lt;/FONT&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;FONT size="2" face="arial,helvetica,sans-serif"&gt;&lt;SPAN&gt;I am learning SAS so I can not solve this example. I want to test it on SAS to help my students understand. Can you help me solve by using SAS the &lt;/SPAN&gt;&lt;SPAN&gt;example below?&lt;/SPAN&gt;&lt;/FONT&gt;&lt;/P&gt;&lt;BR /&gt;&lt;P&gt;&lt;FONT size="2" face="arial,helvetica,sans-serif"&gt;&amp;nbsp;&lt;/FONT&gt;&lt;/P&gt;&lt;P&gt;&lt;FONT size="2" face="arial,helvetica,sans-serif"&gt;Thanks,&lt;/FONT&gt;&lt;/P&gt;&lt;P&gt;&lt;FONT size="2" face="arial,helvetica,sans-serif"&gt;&lt;SPAN&gt;Jae&lt;BR /&gt;&lt;/SPAN&gt;&lt;/FONT&gt;&lt;/P&gt;&lt;/BLOCKQUOTE&gt;</description>
      <pubDate>Fri, 13 Oct 2017 08:52:22 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402614#M20984</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-13T08:52:22Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402688#M20985</link>
      <description>&lt;P&gt;You can use nonparameter statistical method like resampling .&lt;/P&gt;
&lt;P&gt;Check&amp;nbsp;&lt;a href="https://communities.sas.com/t5/user/viewprofilepage/user-id/13684"&gt;@Rick_SAS&lt;/a&gt;&amp;nbsp;blog .&lt;/P&gt;
&lt;P&gt;&lt;A href="https://blogs.sas.com/content/iml/2014/11/21/resampling-in-sas.html" target="_blank"&gt;https://blogs.sas.com/content/iml/2014/11/21/resampling-in-sas.html&lt;/A&gt;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 11:46:00 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402688#M20985</guid>
      <dc:creator>Ksharp</dc:creator>
      <dc:date>2017-10-10T11:46:00Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402692#M20986</link>
      <description>&lt;P&gt;You can use PROC TTEST to perform a one-sample test for the mean. You can use the&amp;nbsp;SIDES=U option to&amp;nbsp;perform a one-sided test and the H0= option to specify the value of the null hypothesis.&amp;nbsp; There is &lt;A href="http://go.documentation.sas.com/?docsetId=statug&amp;amp;docsetTarget=statug_ttest_gettingstarted01.htm&amp;amp;docsetVersion=14.3&amp;amp;locale=en" target="_self"&gt;a Getting Started example in the PROC TTEST documentation&lt;/A&gt; that shows how to perform the test and analyze the results.&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;PRE&gt;&lt;CODE class=" language-sas"&gt;data Movie;
input rating @@;
datalines;
3 5 4 3 4 5 5 4 3 2 5 4 3 2 3 5
;&lt;BR /&gt;
proc ttest data=Movie H0=4 sides=u alpha=0.05;&lt;BR /&gt;var rating;&lt;BR /&gt;run;
&lt;/CODE&gt;&lt;/PRE&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 11:56:10 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402692#M20986</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2017-10-10T11:56:10Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402694#M20987</link>
      <description>&lt;BLOCKQUOTE&gt;&lt;P&gt;Hi Ksharp,&lt;/P&gt;&lt;/BLOCKQUOTE&gt;&lt;DIV class="lia-message-body lia-component-body"&gt;&lt;DIV class="lia-message-body-content"&gt;&lt;BLOCKQUOTE&gt;&lt;P&gt;&lt;SPAN class="short_text"&gt;&lt;SPAN class=""&gt;It is very difficult for me, please try to help me. If you can make SAS file and post it on here, I am really grateful to you.&lt;/SPAN&gt;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN class="short_text"&gt;&lt;SPAN class=""&gt;Joe&lt;/SPAN&gt;&lt;/SPAN&gt;&lt;/P&gt;&lt;/BLOCKQUOTE&gt;&lt;/DIV&gt;&lt;/DIV&gt;</description>
      <pubDate>Tue, 10 Oct 2017 11:56:50 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402694#M20987</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-10T11:56:50Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402696#M20988</link>
      <description>&lt;P&gt;&lt;a href="https://communities.sas.com/t5/user/viewprofilepage/user-id/13684"&gt;@Rick_SAS&lt;/a&gt;,&lt;/P&gt;
&lt;P&gt;and I quoted "&lt;SPAN&gt;without using statistical software." .&lt;/SPAN&gt;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:00:03 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402696#M20988</guid>
      <dc:creator>Ksharp</dc:creator>
      <dc:date>2017-10-10T12:00:03Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402699#M20989</link>
      <description>&lt;P&gt;Hi Rich_SAS,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Thank you for your help.&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN class=""&gt;Because SAS is quite new to me, could you send me a SAS file for this example and this results to email? My email is: &lt;/SPAN&gt;&lt;SPAN class="go"&gt;jaegonkim.edu@gmail.com&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN class="go"&gt;Joe&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN class=""&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:04:38 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402699#M20989</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-10T12:04:38Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402700#M20990</link>
      <description>&lt;P&gt;The problem says "(a) through (c) without using software," which I assume the OP can do. The OP was asking about part (d), "Verify your answers by using SAS output."&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:05:09 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402700#M20990</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2017-10-10T12:05:09Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402702#M20991</link>
      <description>&lt;P&gt;The SAS code is posted in my response. You can copy and paste from this discussion thread.&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:06:20 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402702#M20991</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2017-10-10T12:06:20Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402705#M20992</link>
      <description>&lt;P&gt;Hi Rick_SAS,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Yes, thank you. Could you solve (a) to (c) without using software? I want to know &lt;SPAN class="short_text"&gt;&lt;SPAN class=""&gt;the results are to make a comparison of them.&lt;/SPAN&gt;&lt;/SPAN&gt;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:11:09 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402705#M20992</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-10T12:11:09Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402710#M20993</link>
      <description>&lt;P&gt;Sure. Rick .&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:14:18 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402710#M20993</guid>
      <dc:creator>Ksharp</dc:creator>
      <dc:date>2017-10-10T12:14:18Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402714#M20994</link>
      <description>&lt;P&gt;?? When you asked this question, you said you wanted to use SAS "to help my students understand," so I assumed you are a statistics teacher. This problem is solved in every elementary&amp;nbsp;statistics textbook. I suggest you refer to the one that you are using for your class.Look in the chapter that discusses "tests of hypotheses" and the section that discusses "tests for the mean."&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:19:17 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402714#M20994</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2017-10-10T12:19:17Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402719#M20995</link>
      <description>&lt;P&gt;Hi Rick_SAS,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Sorry, &lt;SPAN class=""&gt;I will review&lt;/SPAN&gt; it. &lt;SPAN class=""&gt;I would like to ask only another example about SAS. Are you ready to help me?&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN class=""&gt;Thank you.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN class=""&gt;Joe&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:29:44 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402719#M20995</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-10T12:29:44Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402720#M20996</link>
      <description>&lt;BLOCKQUOTE&gt;&lt;P&gt;Hi Rick_SAS,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Sorry, &lt;SPAN class=""&gt;I will review&lt;/SPAN&gt; it. &lt;SPAN class=""&gt;I would like to ask only another example about SAS. Are you ready to help me?&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN class=""&gt;Thank you.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN class=""&gt;Joe&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;/BLOCKQUOTE&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:30:03 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402720#M20996</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-10T12:30:03Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402721#M20997</link>
      <description>&lt;P&gt;If it is a different question, please start a new thread.&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;There are many people on the forum who can help answer your questions about how to use SAS to analyze data and how to interpret SAS output. I am just one of hundreds of people who answer questions on this community.&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:33:52 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402721#M20997</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2017-10-10T12:33:52Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402725#M20999</link>
      <description>&lt;P&gt;I would like to give it a try.&lt;/P&gt;
&lt;P&gt;a) H0 : mean=4&amp;nbsp; H1: mean&amp;gt;4&lt;/P&gt;
&lt;P&gt;b) the statistic is the number of obs&amp;gt;4 , which is 5&lt;/P&gt;
&lt;P&gt;c) due to 5/nobs = 0.312 , i.e.&amp;nbsp; 0.3 &amp;gt; 0.05 which means can't refuse H0 .&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;d) from the output of proc ttest, can verify the above. You can't say mean at least 4.&lt;/P&gt;
&lt;P&gt;SAS Output&lt;/P&gt;
&lt;DIV class="branch"&gt;
&lt;DIV&gt;
&lt;DIV align="center"&gt;
&lt;TABLE class="table" summary="Procedure Ttest: 置信限" frame="box" rules="all" cellspacing="0" cellpadding="5"&gt;
&lt;THEAD&gt;
&lt;TR&gt;
&lt;TH class="r b header" scope="col"&gt;均值&lt;/TH&gt;
&lt;TH class="c b header" colspan="2" scope="colgroup"&gt;95% 置信限均值&lt;/TH&gt;
&lt;TH class="r b header" scope="col"&gt;标准差&lt;/TH&gt;
&lt;TH class="c b header" colspan="2" scope="colgroup"&gt;95% 置信限标准差&lt;/TH&gt;
&lt;/TR&gt;
&lt;/THEAD&gt;
&lt;TBODY&gt;
&lt;TR&gt;
&lt;TD class="r data"&gt;3.7500&lt;/TD&gt;
&lt;TD class="r data"&gt;3.2834&lt;/TD&gt;
&lt;TD class="r data"&gt;正无穷&lt;/TD&gt;
&lt;TD class="r data"&gt;1.0646&lt;/TD&gt;
&lt;TD class="r data"&gt;0.7864&lt;/TD&gt;
&lt;TD class="r data"&gt;1.6476&lt;/TD&gt;
&lt;/TR&gt;
&lt;/TBODY&gt;
&lt;/TABLE&gt;
&lt;/DIV&gt;
&lt;/DIV&gt;
&lt;BR /&gt;&lt;A name="IDX5" target="_blank"&gt;&lt;/A&gt;
&lt;DIV&gt;
&lt;DIV align="center"&gt;
&lt;TABLE class="table" summary="Procedure Ttest: T 检验" frame="box" rules="all" cellspacing="0" cellpadding="5"&gt;&lt;COLGROUP&gt; &lt;COL /&gt; &lt;COL /&gt; &lt;COL /&gt;&lt;/COLGROUP&gt;
&lt;THEAD&gt;
&lt;TR&gt;
&lt;TH class="r b header" scope="col"&gt;自由度&lt;/TH&gt;
&lt;TH class="r b header" scope="col"&gt;t&amp;nbsp;值&lt;/TH&gt;
&lt;TH class="r b header" scope="col"&gt;&lt;FONT color="#FF0000"&gt;Pr&amp;nbsp;&amp;gt;&amp;nbsp;t&lt;/FONT&gt;&lt;/TH&gt;
&lt;/TR&gt;
&lt;/THEAD&gt;
&lt;TBODY&gt;
&lt;TR&gt;
&lt;TD class="r data"&gt;15&lt;/TD&gt;
&lt;TD class="r data"&gt;-0.94&lt;/TD&gt;
&lt;TD class="r data"&gt;&lt;FONT color="#FF0000"&gt;0.8188&lt;/FONT&gt;&lt;/TD&gt;
&lt;/TR&gt;
&lt;/TBODY&gt;
&lt;/TABLE&gt;
&lt;/DIV&gt;
&lt;/DIV&gt;
&lt;/DIV&gt;</description>
      <pubDate>Tue, 10 Oct 2017 12:51:32 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402725#M20999</guid>
      <dc:creator>Ksharp</dc:creator>
      <dc:date>2017-10-10T12:51:32Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402726#M21000</link>
      <description>&lt;P&gt;Hi Ksharp,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;b. the value of the test-statistic is computed = 5. Right?, could you explain this value?&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 13:02:01 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402726#M21000</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-10T13:02:01Z</dc:date>
    </item>
    <item>
      <title>Re: Help me verify answers by using SAS output</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402729#M21001</link>
      <description>&lt;P&gt;With respect, I do not think that KSharp's&amp;nbsp;analysis is correct. If you want to&amp;nbsp;perform a one-sided test of the hypothesis that mu&amp;gt;4 against the alternative that mu&amp;lt;=4, then&amp;nbsp;&lt;A href="https://onlinecourses.science.psu.edu/stat200/node/54" target="_self"&gt;read the excellent online statistics course from PennState.&lt;/A&gt;&lt;/P&gt;
&lt;P&gt;In particular, the test statistic should be t = (x_bar - mu0)/StdErr.&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;Unfortunately, I have other&amp;nbsp;things to do, but I wish you luck in your efforts.&lt;/P&gt;</description>
      <pubDate>Tue, 10 Oct 2017 13:11:44 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/402729#M21001</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2017-10-10T13:11:44Z</dc:date>
    </item>
    <item>
      <title>Ho and Ha</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/404301#M21087</link>
      <description>&lt;P&gt;Hi everyone,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;I have a example:&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;A movie was rated by the viewers who had watched it. The scores range from a low of 1 (very uninteresting) to a high of 5 (very fascinating). A sample of 16 viewers was chosen and their ratings are listed below:&lt;/P&gt;&lt;P&gt;&lt;STRONG&gt;3&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/STRONG&gt;&lt;STRONG&gt;4 &lt;/STRONG&gt;&lt;STRONG&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/STRONG&gt;&lt;STRONG&gt;3&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 4&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 4&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 3&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 2&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 4&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 3&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 2&amp;nbsp;&amp;nbsp;&amp;nbsp; 3&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&lt;/STRONG&gt;&lt;/P&gt;&lt;P&gt;Suppose the ratings of the movie can be assumed to be normally distributed. The movie production company claimed that the mean rating score is at least 4. An independent movie review company wants to test this claim. Answer questions (a) through (c) without using statistical software. Using α=0.05, would the movie review company conclude that the mean rating score of the movie is at least 4?.&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Could you help me tell what is the null and alternative hypotheses: Ho vs Ha?&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Thanks,&lt;/P&gt;&lt;P&gt;Joe&lt;/P&gt;</description>
      <pubDate>Sun, 15 Oct 2017 16:50:03 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/404301#M21087</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-15T16:50:03Z</dc:date>
    </item>
    <item>
      <title>Re: Ho and Ha</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/404305#M21088</link>
      <description>&lt;P&gt;You may find this helpful:&lt;/P&gt;
&lt;P&gt;&lt;A href="https://support.sas.com/edu/schedules.html?crs=STAT1&amp;amp;ctry=us" target="_blank"&gt;https://support.sas.com/edu/schedules.html?crs=STAT1&amp;amp;ctry=us&lt;/A&gt;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;Note that the e-course is free.&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Sun, 15 Oct 2017 17:01:44 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/404305#M21088</guid>
      <dc:creator>Reeza</dc:creator>
      <dc:date>2017-10-15T17:01:44Z</dc:date>
    </item>
    <item>
      <title>Re: Ho and Ha</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/404307#M21089</link>
      <description>&lt;P&gt;Hi Reeza,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;I know, but I don't sure. Ho &amp;gt;= 4 or &amp;gt; 4?. Please tell me know.&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Thanks,&lt;/P&gt;&lt;P&gt;Joe&lt;/P&gt;</description>
      <pubDate>Sun, 15 Oct 2017 17:06:24 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/Help-me-verify-answers-by-using-SAS-output/m-p/404307#M21089</guid>
      <dc:creator>JaeGonKim</dc:creator>
      <dc:date>2017-10-15T17:06:24Z</dc:date>
    </item>
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