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The manager of an art gallery claims that the mean amount of time visitors spend in...

The manager of an art gallery claims that the mean amount of time visitors spend in the gallery is more than 20 minutes. He randomly selects 50 visitors and determines that the average amount of time they spent in the gallery was 21.5 minutes. If we assume that the amount of time a visitor spends in the gallery is known to be normally distributed with a standard deviation of 5 minutes, test the manager’s claim at a 1% significance level.

Calculate the test statistic.

Assume the test statistic is 2. Find the p-value.

Assume the p-value is 0.03. State your decision.

Select one:

a. Reject HA

b. Fail to reject HA

c. Reject H0

d. Fail to reject H0

Math   Statistics-And-Probability   
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