Are the mean numbers of daily visitors to a ski resort the same for the three ty

Question

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.

Powder

Machine made

Hard packed

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

Powder

Machine made

Hard packed

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

Explanation / Answer

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

Mean n Std. Dev 1,192.0 4 254.88 Powder 1,483.0 6 457.94 Machine made 1,982.8 5 627.62 Hard packed 1,572.0 15 553.43 Total

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