.A coin is tossed 12 times and a head comes up 9 times. Use a 5% level of significance level to test the null hypothesis that the coin is in fact unbiased.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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1. A coin is tossed 12 times and a head comes up 9 times. Use a 5% level of significance level to test the null
hypothesis that the coin is in fact unbiased.
2. The number of hours worked per week, including overtime, by 17 employees in an assembly factory during the
pandemic were as follows:
Week 1 of pandemic
Week 12 of pandemic
29
36
53
28
40
35
41
60
64
37
61
20
52
61
59
38
43
28
66
55
80
29
54
37
38
48
72
61
74
45
64
63
a) Test the hypothesis that the mean working hours per week is 64 for Week 1 and 40 for week 12. Use a 5%
level of significance.
b) Is there a significant drop in the average working hours from Week 1 to Week 12? Use 2% level of
significance.
Transcribed Image Text:1. A coin is tossed 12 times and a head comes up 9 times. Use a 5% level of significance level to test the null hypothesis that the coin is in fact unbiased. 2. The number of hours worked per week, including overtime, by 17 employees in an assembly factory during the pandemic were as follows: Week 1 of pandemic Week 12 of pandemic 29 36 53 28 40 35 41 60 64 37 61 20 52 61 59 38 43 28 66 55 80 29 54 37 38 48 72 61 74 45 64 63 a) Test the hypothesis that the mean working hours per week is 64 for Week 1 and 40 for week 12. Use a 5% level of significance. b) Is there a significant drop in the average working hours from Week 1 to Week 12? Use 2% level of significance.
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