Question

The following data is based on information taken from Winter Wind Studies in Rocky Mountain National Park by D. E. Glidden (Rocky Mountain Nature Association). At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below:

Weather station	1	2	3	4	5
January	139	122	126	64	78
April	104	112	100	88	61

Does this information indicate that peak wind gusts are higher in January than in April? Use a .03 significance level. Please use the four step process and round your answers to the nearest fourth decimal place.

Answer 1

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Note that, you might not be able to find the critical value for significance level of 0.03 from your table.

In that case you can notice that the calculated value of test statistic i.e. 1.265 lies between values 1.190 and 1.533 for 4 degrees of freedom as shown -

And the corresponding one tailed p-values to them are 0.3 and 0.2 respectively.

So, you can say that the p-value of the test lies between 0.2 and 0.3.

Hence, p-value > 0.03.

So, we fail to reject the null hypothesis and conclude that there is not enough evidence in the data to support the claim that the wind velocity in January is higher than that in April.

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