Are the mean numbers of daily visitors to a ski resort the s

Are the mean numbers of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that the table below shows the results of a study. Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

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1,210

2,107

2,846

1,080

1,149

1,638

1,537

862

2,019

941

1,870

1,178

1,528

2,233

1,382

Solution

Ho: all means are equal. (i.e. null hypothesis)

Ha: at least one mean is different (i.e. alternative hypothesis)

The test statistic is

F=3.13

The p-value= 0.0807

Since the p-value is larger than 0.05, we do not reject Ho.

So we can conclude that the mean numbers of daily visitors to a ski resort are the same for the three types of snow conditions