The design of an automotive gear requires the diameter to be 4inches. To evaluate the production quality, you sample 30 gears andfind the average to be 4.08 with a standard deviation of 0.71.Construct a hypothesis test at a 0.05 level of significance todetermine if the gear diameter is larger than 4 inches.
Select one:
a. The critical value is 1.70, the test statistic is 0.62,conclude the gear diameter is less than or equal to 4 inches
b. The critical value is 1.70, the test statistic is 0.62,conclude the gear diameter is greater than 4 inches
c. The critical value is 2.05, the test statistic is 0.62,conclude the gear diameter is greater than 4 inches
d. The critical value is 2.05, the test statistic is 0.62,conclude the gear diameter is less than or equal to 4 inches
e. The critical value is 2.05, the test statistic is 0.62,conclude the gear diameter is not equal to 4 inches