a. Is there evidence to support the claim that working hours of the PhD student exceeds 13 hours? Use a =0.05. b. What is the P-value for the test in part (a)?

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Question 7: The working hours of a PhD student is known to be approximately normally
distributed, with standard deviation o = 2.5 hours . A random sample of 32 different days of his
working hours were recorded as below.
11.5
11.8
15.7
16.1
14.1
10.5
9.3
15
15.2
19
12.8
12.4
19.2
13.5
12.2
13.3
16.5
13.5
14.4
16.7
10.9
13
10.3
15.8
15.1
17.1
13.3
12.4
8.5
14.3
12.9
13.5
a. Is there evidence to support the claim that working hours of the PhD student exceeds 13
hours? Use a =0.05.
b. What is the P-value for the test in part (a)?
c. What is the B-error for the test in part (a) if the true mean of working hours is 14 hours?
d. Explain how you could answer the question in part (a) by calculating an appropriate
confidence bound on life.
Transcribed Image Text:Question 7: The working hours of a PhD student is known to be approximately normally distributed, with standard deviation o = 2.5 hours . A random sample of 32 different days of his working hours were recorded as below. 11.5 11.8 15.7 16.1 14.1 10.5 9.3 15 15.2 19 12.8 12.4 19.2 13.5 12.2 13.3 16.5 13.5 14.4 16.7 10.9 13 10.3 15.8 15.1 17.1 13.3 12.4 8.5 14.3 12.9 13.5 a. Is there evidence to support the claim that working hours of the PhD student exceeds 13 hours? Use a =0.05. b. What is the P-value for the test in part (a)? c. What is the B-error for the test in part (a) if the true mean of working hours is 14 hours? d. Explain how you could answer the question in part (a) by calculating an appropriate confidence bound on life.
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