Question

To test if students, on average, exercise more than 2 hr/week, a random sample of exercise times of 25 students was collected with an average of 2.5 hours with a standard deviation of 0.5 hours. Ha: mu=2 vs. Ha: mu > 2

Test statistic t=5.0 with df=24. At 5% significance level, the decision is to reject H0. What statements are FALSE? Choose ALL that apply.

	All values in the 90% CI would be above 2 hr/week
	At 10%, the decision could have been different
	p-value may have been greater than 5%
	Students, on average, exercise more than 2 hr/week

To test if students, on average, exercise more than 2 hr/week, a random sample of exercise times of 25 students was collected with an average of 2.5 hours with a standard deviation of 0.5 hours. Ha: mu=2 vs. Ha: mu > 2. Test statistic t=5.0 with df=24. There is a chance that TYPE II Error could have been made.

	True
	False

To test if students, on average, exercise more than 2 hr/week, a random sample of exercise times of 25 students was collected with an average of 2.5 hours with a standard deviation of 0.5 hours. Ha: mu=2 vs. Ha: mu > 2

Test statistic t=5.0 with df=24. At 5% significance level, your decision is to [select all that apply]:

	Reject H0, bc t < - 2.064 or t > 2.064
	Reject H0, bc p-value < 0.05
	Fail to reject H0, bc t < - 1.711
	Reject H0, bc t > 1.711

Answer 1

Part 1:

Since p-value<0.10, we reject H₀ at 10% level so

followings are false statements:

1. At 10%, the decision could have been different

2. p-value may have been greater than 5%

Part 2: Since we reject H₀, Type I error is commited hence

There is a chance that TYPE II Error could have been made: False.

Part 3:

1. Reject H₀, bc p-value < 0.05

2. Reject H₀, bc t > 1.711