Following are the annual amounts of rainfall, in inches, in six randomly chosen cities for two consecutive years. Can you conclude that the mean rainfall was greater in year 2 than in year 1?

a. Let μd denote the population mean difference Year 2−Year 1.

State the appropriate null and alternate hypotheses about μd.

b. Compute the differences Year 2−Year 1.

c. Compute the value of the test statistic.

d. Compute the P-value.

e. Do you reject H0 at the α = 0.05 level?

f. State a conclusion.

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1 2 3 4 5 6 Year 2 34.6 18.7 42.6 41.3 60.6 29.9 Year 1 25.1 15.3 46.4 31.2 51.7 24.2