Question

In: Statistics and Probability

Jason Lowrey is a frequent traveler between Los Angeles and San Francisco. For the past month,...

Jason Lowrey is a frequent traveler between Los Angeles and San Francisco. For the past month, he wrote down the flight times for three different airlines. The results are contained in the attached file: Flight Times Spring 2019.

Use the .05 significance level and the six-step hypothesis-testing process to check if there is a difference in the mean flight times among the three airlines. Write a statement to Mr. Lowrey explaining your results. Do your work in Excel

Western Air NW Skyway Skyliner
52 51 50
55 46 53
60 52 48
58 48 62
52 51 53
49 55 49
49 47 50
51 47 49
50 54
60 54
51 51
49 49
49
50

Solutions

Expert Solution

Go to excel data analysis tab -> select one way ANOVA->select data click ok...

Following is the output of ANOVA:

Hypotheses are:

H0: There is no difference in the mean flight times among the three airlines.

Ha: There is a difference in the mean flight times among the three airlines.

The level of significance is 0.05

The critical value is 3.305

The F test statistics is

F = 1.172

Since F < 3.305 so we fail to reject the null hypothesis.

The p-value is 0.3231

Since p-value is greater than 0.05  so we fail to reject the null hypothesis.

Conclusion: We cannot conclude that there is a difference in the mean flight times among the three airlines.


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