DETAILS A statistical program is recommended. An automobile dealer conducted a test to determine whether the time needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data (time in minutes) obtained follow Car Compact Intermediate Full Size Computerized 50 55 63 Analyzer Electronic 44 46 Define all variables Let x, = 0 if a computerized analyzer is used, or let x] = 1 if an electronic analyzer is used. X2 X3 Car 0 Compact 0 Intermediate Full Size Use a = 0.05 to test for any significant differences between the two analyzers. State the null and alternative hypotheses O Ho: B1 = 0 Ha: B1 0 O Ho: B2 = B3 = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. Ha: B2 = B3 = 0 O Ho: B 1 = 0 Ha: B1 = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the time to do a tune-up is not the same for the two analyzers. Do not reject Ho. We cannot conclude that the time to do a tune-up is not the same for the two analyzers. O Reject Ho. We cannot conclude that the time to do a tune-up is not the same for the two analyzers. O Do not reject Ho. We conclude that the time to do a tune-up is not the same for the two analyzers