According to a national survey, the average commuting time for people who commute to a city with a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city with a population of 2.4 million and wants to test this claim in her city. Taking a random sample of 20 commuters she calculates a mean time of 19.346 minutes and a standard deviation of 2.842 minutes. Assume the commute time is normally distributed.

a. Determine your hypotheses.

b. Compute the test statistic

c. What's the rejection rule?

d. At the =.1 level of significance, your Critical Value is

e. What conclusion can be drawn from this test at a 0.1 significance level?