QUESTION 20 The time needed for college students to complete a certain paper and

Question

QUESTION 20 The time needed for college students to complete a certain paper and pencil maze follows a Normal distribution with a mean of 80 seconds and a standard deviation of 16 seconds. You wish to see if the mean time is changed by meditation, so you have a group of 8 college students meditate for 30 minutes and then complete the maze. It takes them an average of x 74 seconds to complete the maze. Use this information to test the hypotheses H0: -80, Ha: 80 at significance level = 0.02. You conclude that a. Ho should be rejected. b. Ho should not be rejected. c. Ha should be accepted d. this is a borderline case and no decision should be made.

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 80
HA : 80
Standard deviation = 16

Hypothesis test results:

Since p - value is greater than 0.02, we do not reject Ho. Hence,

Option B is correct.

Mean n Sample Mean Std. Err. Z-Stat P-value 8 74 5.6568542 -1.0606602 0.2888

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