QuestionA 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 37 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 0.10 significance level.
Click the icon to view the Excel display.
Identify the null and alt
:
(Type integers or deci
Excel Display
\begin{tabular}{|lr|}
\hline Difference & 3 \\
\hline t (Observed value) & 0.929 \\
t (Critical value) & 1.306 \\
DF & 36 \\
p-value (one-tailed) & 0.180 \\
alpha & 0.10 \\
\hline
\end{tabular}
Studdy Solution
STEP 1
1. The sample size is 37 wait times.
2. The significance level () is 0.10.
3. The test is one-tailed, testing if the mean wait time is greater than 30 minutes.
STEP 2
1. Identify the null and alternative hypotheses.
2. Use the Excel display to determine whether to reject the null hypothesis.
STEP 3
Identify the null hypothesis () and the alternative hypothesis ().
- : The mean wait time is 30 minutes or less.
- : The mean wait time is more than 30 minutes.
\[
H_0: \mu \leq 30 $
\[
H_1: \mu > 30 $
STEP 4
Compare the p-value from the Excel display with the significance level ().
- Given p-value (one-tailed) = 0.180
- Given
Since , we do not reject the null hypothesis.
The conclusion is that there is not enough evidence to support the claim that the mean wait time is more than 30 minutes at the 0.10 significance level.
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