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To test how well students can estimate one minute without a clock or other timekeeping device, an instructor asked 15 students to say “time” when they thought 60 seconds had passed. The mean number of seconds when students called “time” was 62.7 seconds with a standard deviation of 19.5 seconds. Are students reasonably good at estimating one minute? Use α = .05.
(a) State your null and alternative hypotheses (2 points):
(b) What are the mean and sd of the sampling distribution (1 point)?
(c) What is the standard score, z (1/2 point)?
(d) What is the P-value for this test (1 point)?
(e) Do you reject or fail to reject H0 (1/2 point)?
(f) What is your final conclusion (2 points)?
(g) Would your decision in (e) change if alpha was 0.01 instead of 0.05? Why or why not? (1 point)
Sagot :
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