Clark Heter is an industrial engineer at Lyons Products. He would like to determ
ID: 3290992 • Letter: C
Question
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. A sample of 60 day-shift workers showed that the mean number of units produced was 352, with a population standard deviation of 24. A sample of 64 night-shift workers showed that the mean number of units produced was 362, with a population standard deviation of 31 units.
The decision rule is to reject H0: d n if z < . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The test statistic is z = . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. A sample of 60 day-shift workers showed that the mean number of units produced was 352, with a population standard deviation of 24. A sample of 64 night-shift workers showed that the mean number of units produced was 362, with a population standard deviation of 31 units.
Explanation / Answer
Solution:
Test Hypothesis
Ho: d n
H1: d < n
X(Mean) = 352, s.d1 = 24, n1 = 60 Y(Mean) = 362, s.d2 = 31, n2 = 64
Test Statistic: Z = (X-Y)/Sqrt(s.d12/n1)+(s.d22/n2)
Zo = 352-362/Sqrt((576/60)+(961/64))
Zo = -2.02
| Zo | =2.02
Critical Value
Z = 0.02% is 2.054
We got |Zo | = 2.016 & | Z | =2.054
Make Decision
Hence Value of | Zo | < | Z | and Here we Do not Reject Ho
P-Value = 0.02192
Hence Value of P0.02 < 0.02192,Here We Do not Reject Ho