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# Week7 - EC315 Homework Week 7 Question 24 Clark Heter is an...

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EC315 Homework Week 7 Question 24 Clark Heter is an industrial engineer at Lyon’s Products. He would like to determine whether there are more units produced on the night shift than on the day shift. Assume the population standard deviation for the number of units produced on the day shift is 21 and is 28 on the night shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345. A sample of 60 night-shift workers showed that the mean number of units produced was 351. At the .05 significance level, is the number of units produced on the night shift larger? H o : μ 1 μ 2 H 1 : μ 1 < μ 2 The level of significance: α = 0.05 (Type I error) Reject H o if z < - 1.65 (one tailed test) The test statistic Or z = ( μ 2 - μ 1 ) / √ [(s1)²/n + (s2)²/m] = (351-345) / √ [28²/60 + 21²/54] = -1.3 Fail to reject H o , and accept the null hypothesis since -1.30 is greater than -1.65. There is not enough evidence to conclude that there are a larger number of units produced on the afternoon shift. Question 34 A study was conducted to determine if there was a difference in the humor content in British and American trade magazine advertisements. In an independent random sample of 270 American trade magazine advertisements, 56 were humorous. An independent

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