Clark Heter is an industrial engineer at Lyons Products. He would like to determ
ID: 3053546 • Letter: C
Question
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether, on average, there are more units produced on the night shift (Population n) than on the day shift (Population d ). A sample of 52 day-shift workers showed the mean number of units produced is 327. The population standard deviation of day-shift production is 23 units. A sample of 58 night-shift workers showed that the mean number of units produced is 332. The population standard deviation of night-shift production is 31 units. At the .05 significance level, is the average number of units produced on night shift higher than on day shift?
(1) This is a two or one tailed test. (
(3) The test statistic is Z = ________ . (Negative amounts should be indicated by a minus sign. Carry at least 3 decimal places in your intermediate calculations. Round your answer to 2 decimal places.)
udz Pd : OHExplanation / Answer
1)
This is one tailed test.
2)
Rejection area, z < 1.65
3)
Test Statistics
z = [ (x1 - x2) - d ] / SE
z = [ -5 - 0 ] / 5.1713
z = -0.9669
4)
Fail to reject the null hypothesis as test statistics is greater than critical value of (-1.65)
Given Data Sample 1 Sample 2 Name Day Shift Night Shift mean 327 332 Sample size 52 58 Std. dev. 23.00 31.00