Clark Heter is an industrial engineer at Lyons Products. He would like to determ
ID: 3306779 • 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. The mean number of units produced by a sample of 54 day-shift workers was 331. The mean number of units produced by a sample of 60 night-shift workers was 338. Assume the population standard deviation of the number of units produced on the day shift is 19 and 26 on the night shift.
At the 0.01 significance level, is the number of units produced on the night shift larger?
is this a one tailed or two?
b)
tate the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
c) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
the tes statistics is z:-
d) what is your decision regarding H0
reject or do no reject
The decision rule is to reject H0: Day Night. if z <Explanation / Answer
(A) mean number of units produced by day- shift sample xday= 331
Standard deviation of units produced by dayshift sample day= 19
sample size n1 = 54
mean number of units produced by night- shift sample xnight= 339
Standard deviation of units produced by night shift sample night = 26
sample size = 60
(a) THe test is a one-side test as instead of difference between productio, which one produce more is compare.
(b) The decision rule is to reject H0: Day Night. if z < -2.33
(c) Test statistic
Z = (xday - xnight)/ sqrt [day2 /n1 + night2 /n2]
Z = (331 - 338) / sqrt [192/54 + 262 /60]
Z= (-7)/ 4.2369
Z= - 1.65
(D) So, here Z > Zcritical (in negative values) so we shall not reject the null hypothesis and can conclude that there is no signifcant difference inproduction in night and day shift.