The average strength of an earthquake is believed to be = 5.4 on the Richter scale. A random sample of 5 recent earthquakes has an average strength of x = 6.2 on the Richter scale, with a standard deviation of s = 1.3. Suppose we want to do one-tailed hypothesis test to determine if the average strength of an earthquake is larger than 5.4 at significance level = .05

a. State the null and alternate hypotheses of the test

b. Determine the critical value and find the region of rejection

c. Calculate the t-statistic and perform the hypothesis test

d. State your conclusions