The following 5 questions are based on this information. The dean at a large uni

Question

The following 5 questions are based on this information.

The dean at a large university in California wonders if students study less than an average of 24 hours per week.

She randomly selects 25 students and asks their average study time per week (in hours). From their responses, she calculates a sample mean of 19 hours and a sample standard deviation (ss) of 10 hours. Assume the study times are normally distributed. Please show all work

Question 36

Question text

Specify the null and alternative hypotheses.

Select one:

a. H(0): 24 Versus H(a): >24

Question 37

Question text

The standard error (SE) of   X¯X¯ is

Select one:

a. 2

b. 0.4

c. 10

d. 3.8

Question 38

Question text

The test statistics value is

Select one:

a. -1.25

b. -1.67

c. -2.5

d. -2

Question 39

Question text

The p-value is

Select one:

a. 0.11

b. 0.05

c. 0.01

d. 0.03

Question 40

Question text

At =0.05 and based on p-value

Select one:

a. We reject H(0) in favor of H(a)

b. We do not reject H(0)

Explanation / Answer

a) H(0): 24 Versus H(a): <24

b) SE = s/sqrt(n) = 10/sqrt(25) = 2

c) t = (xbar - µ)/SE = (19-24)/2 = -2.5

d) This is a left sided t test with df = n - 1 = 25-1 = 24

p = .009827 = 0.01(use calculator)

e) We reject H0 in favor of Ha as p < 0.05

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