EC_315_Week_7_Homework_Solutions

# EC_315_Week_7_Homework_Solutions - EC/315 Week 7 Homework...

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EC/315 Week 7 Homework Solutions Spring 2008 2 Term #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 38 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? Step 1: H o : μ 1 2 H 1 : 1 < 2 Step 2: Select the level of significance: α=.05 (Type I error) Step 3 : The rejection region is Reject H o if z < - 1.65 (a one tailed test since the alternative is less than) Step 4: The test statistic is given as follows: 2 2 345 351 1.30 (21) (28) 54 60 z - = = - + Step 5: Fail to reject H o .or accept the null hypothesis since -1.30 is greater than -1.65.

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## This note was uploaded on 04/23/2011 for the course EC 315 taught by Professor Barcus during the Spring '10 term at Park.

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EC_315_Week_7_Homework_Solutions - EC/315 Week 7 Homework...

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