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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orchestra answered 1 year ago

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