On 04 January 2008 the wave heights in centimeters were recorded for translating waves on the reef in Piyuul. Waves heights were again recorded in June at that location.

__________
What is the sample mean x for the waves in January?

__________
What is the sample mean x for the waves in June?

Using five classes, fill in the following frequency table for the January data.

Jan class upper limits

Frequency F

Relative Frequency

Sums:

Using five classes, fill in the following frequency table for the June data.

Jun class upper limits

Frequency F

Relative Frequency

Sums:

Sketch two relative frequency histograms, one for the January data and one for the June data.

____________ Run a t-test for a difference of the mean wave heights for January and June. Use an independent samples t-test. What is the p-value?

____________ What is the maximum confidence c that we can have that the difference between January and June wave heights is significant?

____________ At an alpha α of 5%, would we reject a null hypothesis of no difference in the mean wave heights between January and June or would we fail to reject the null hypothesis?