Question
In: Statistics and Probability
A random survey was conducted at Disneyland to determine how long park guests waited in line...
A random survey was conducted at Disneyland to determine how long park guests waited in line for Space Mountain (in minutes). The collected data is provided below:
65 67 54 57 72 64 55
71 64 60 84 54 74 76
62 60 71 59 58 53 63
65 68 69 90 74 59 75
63 51
The posted wait time was listed to be 60 minutes. At the 1% significance level, perform and interpret a hypothesis test to determine if the actual wait time for Space Mountain was more than 60 minutes.
Solutions
Expert Solution
We can use one sample t test here.
Assumptions to conduct this test are:
- Population is normally distributed
- Population variance is unknown
- Random sample is selected
- Continuous scale of measurement.
Now going to our test procedures ( A detailed solution is given as image )
Null Hypothesis Ho : Population mean = 60 minutes
Alternative Hypothesis H1: Population mean > 60 minutes
Result : The t-value is 3.116426. The value of p is .002052. The result is significant at p < .01.
Conclusion : The actual wait time for Space Mountain was more than 60 minutes.
Detailed steps as follows:
Formula to find test statisic:
Calculation and result
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