One indicator of an evolving economy is a change in the number of \"ad pages\" t

Question

One indicator of an evolving economy is a change in the number of "ad pages" that magazines have sold. The accompanying data contains the number of ad pages found in two issues of 12 magazines released in consecutive years. Complete parts (a) through (c) below. EEE Click the icon to view the ad page data a. At the 0.05 level of significance, is there evidence that there is a difference between the mean number of ad pages in Year 1 and Year 2? Let H1 be the mean number of ad pages in Year 1 and let H2 be the mean number of ad pages in Year 2. What are the correct null and alternative hypotheses? O A. Ho: HD 20 (where HD au1 -H2) O B. Ho: D a 0 (where HD EH -H2) H1: HD 0 H1: 0 O C. Ho: HD so (where uD u1 -u2) O D. Ho: HD 0 (where HD u2) H1: HD 0 H1: D 0 What is the test statistic? tSTAT Round to two decimal places as needed.) What is (are) the critical value(s)? Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed. Use a comma to separate answers as needed.) O B. What is the correct conclusion? O A. Reject Ho. There is insufficient evidence to conclude that there is a difference between the mean number of ad pages in Year 1 and Year 2 O B. Do not reject Ho. There is insufficient evidence to conclude that there is a difference between the mean number of ad pages in Year 1 and Year 2.

Explanation / Answer

a) option B is correct.

t stat =2.4834

critical value = talpha/2 =+/-2.2010

conclusion : reject Ho: there is sufficient evidence to c.................

Year 1 Year 2 difference(d) 71.82 48.24 23.58 67.35 42.38 24.97 48.38 43.16 5.22 221.33 231.51 -10.18 99.02 59.92 39.1 68.79 41.46 27.33 98.51 67.92 30.59 91.61 74.43 17.18 182.59 88.84 93.75 168.49 197.82 -29.33 41.21 30.24 10.97 125.72 104.18 21.54 mean 21.227 std deviaition 29.6093 sample size 12.0000 std error= std dev/(n)^(1/2) 8.5475 t stat= (d)/std error 2.4834 p value = 0.0304

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