Question

A data set includes wait times (minutes) for the tower of terror ride at walt disney world's hollywood studios theme park at 5:00 pm. using 40 of the times to test the claim that the mean of all such wait times is more than 30 minutes, the accompanying excel display is obtained. test the given claim by using the display provided from excel. use a 0.01 significance level.

Answer 1

To test the claim that the mean of all wait times is more than 30 minutes, perform a one-sample t-test using the given data and a significance level of 0.01. Compare the test statistic to the critical value from a t-table or calculator to make a decision about the null hypothesis.

Step-by-step explanation:

In order to test the claim that the mean of all wait times is more than 30 minutes, we can use a hypothesis test. Let's perform a one-sample t-test using the given data.

1. Null hypothesis (H0): The mean wait time is 30 minutes.
2. Alternative hypothesis (Ha): The mean wait time is greater than 30 minutes.
3. Significance level (α): 0.01
4. Test statistic: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
5. Compute the test statistic using the given values: t = (sample mean - 30) / (3.5 / sqrt(25)) = (sample mean - 30) / 0.7
6. Find the critical value for a one-tailed test with α = 0.01 and degrees of freedom (df) = sample size - 1 = 24. You can use a t-table or a t-distribution calculator to find this critical value.
7. Compare the test statistic to the critical value. If the test statistic is greater than the critical value, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.