SOLUTION: 2. The employees of Jones Construction Co. are allowed a 30-minute lunch break. The owner wants to know if the employees are actually taking 30-minute breaks. The foreman decides t

Algebra ->  Probability-and-statistics -> SOLUTION: 2. The employees of Jones Construction Co. are allowed a 30-minute lunch break. The owner wants to know if the employees are actually taking 30-minute breaks. The foreman decides t      Log On


   



Question 364949: 2. The employees of Jones Construction Co. are allowed a 30-minute lunch break. The owner wants to know if the employees are actually taking 30-minute breaks. The foreman decides to record the times taken for the next 25 breaks taken at the site. The data are as follows:
25 34 28 27 33 40 23 22 26
33 38 25 22 27 30 32 31 24
22 28 32 34 26 24 35
a. State the appropriate null and alternative hypotheses.
b. Calculate the test statistic.
c. At a = 0.05, should the foreman reject the null hypothesis?
d. What conclusion can the foreman present to the owner?

Answer by SadieKhan(31) About Me  (Show Source):
You can put this solution on YOUR website!
Type the data in excel
25
34
28
27
33
40
23
22
26
33
38
25
22
27
30
32
31
24
22
28
32
34
26
24
35

H0 ; muu = 30
H1 ; muu is not equal to 30 (two tailed)
level of significance
alpha = 0.05
Now use mega stat for mean vs hypothesized mean option,
you get these values
Hypothesis Test: Mean vs. Hypothesized Value

30.000 hypothesized value
28.840 mean Data
5.145 std. dev.
1.029 std. error
25 n
24 df

-1.13 t
.2708 p-value (two-tailed)
Decision rule,
as p > 0.05 we fail to reject H0.
hence the mean break time spent by the employees is 30 minutes.