Question

Significane Level of a=0.05 is used for each hypothesis test and a confidence level of 95%...

Significane Level of a=0.05 is used for each hypothesis test and a confidence level of 95% is used for each confidence interval estimate.

A random sample of people who work regular 9-5 hours and a random sample of people who work shifts were asked how many hours of sleep they get per day on average. An appropriate F-Test was performed and it was found that the null hypothesis of the F-Test should be rejected. Can we infer that there is a difference in the number of hours people sleep depending on whether they work 9-5 or shifts?

Printout #:_______________________
H0:__________________________
H1:__________________________
p-value:_______________________
Conclusion: Accept H0 / Reject H0

Possible Data Sets (Print-Outs to choose from):

Analysis of variance (Amount):

Source

Sum of Squares

Mean Squares

3462.363

177

15070.775

Corrected Total

180

18533.138

T-test for two independent samples/ two-tailes tests:

95% confidence interval on the difference the means: ( 0.276 , 1.191 )

Fisher’s F-Test / Two-tailes test:

ratio

1.037

F oberserved value

1.037

F Critical value

2.979

DF1

14

DF2

14

p-value (two tailed)

0.947

alpha

0.05

Type l Sum of squares analysis (Var 1 ):

Source

DF

Sum of Sqaures

Mean Squares

F

pr > f

Q1

1

11.25

11.25

1.115

0.294

Q2

2

135.85

45.283

45.283

0.006

Q1*Q2

3

6.25

2.083

0.207

0.892

T-test for two independent samples / Two-tailes test:

Difference

0.733

t(observed value)

3.322

t(critival value)

2.074

DF

22

p-value

0.003

alpha

0.05

Z-test for two proportions / two-tailed test:

95% confidence interval on the difference the means: ( -0.025, 0.105 )

Type l sum of squares analysis:

Source

DF

Sum of Sqaures

Mean Squares

F

pr > f

Q1

4

616.421

154.105

4.714

0.002

Q2

19

3574.166

188.114

5.754

< 0.0001

T-test for two paired samples / upper tailed test:

Difference

0.583

t(observed value)

1.023

t(critival value)

1.796

DF

11

p-value

0.164

alpha

0.05

Z-test for two proportions / upper-tailed test:

Difference

0.04

z(observed value)

1.2

z(critival value)

1.645

p-value

0.115

alpha

0.05

Homework Answers

Answer #1

Let

The average hour sleep by the people who work 9 to 5 =

The average number of hour sleep by people who work on shifts =

now we have to check it is Same or different

so the null hypothesis will be

As we check all the values we find that the appropriate p value will be For two tailed T test

p=0.003

So According to question as we have rejected the null hypothesis that means the means are not equal and the means are representing the sleeping hour of the two group

so we can say that number of hour people sleeping is dependent on whether they working 9-5 or in shift

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