An automobile dealer conducted a test to determine if the time in minutes 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 obtained follow. Analyzer Computerized Electronic Car Compact 52 43 Intermediate 55 44 Full sized 61 45 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Compact ≠ ?Intermediate ≠ ?Full-sized Ha: ?Compact = ?Intermediate = ?Full-sized H0: ?Compact = ?Intermediate = ?Full-sized Ha: ?Compact ≠ ?Intermediate ≠ ?Full-sized H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sized Ha: Not all the population means are equal. H0: ?Computerized ≠ ?Electronic Ha: ?Computerized = ?Electronic H0: ?Computerized = ?Electronic
An automobile dealer conducted a test to determine if the time in minutes 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 obtained follow.
| Analyzer | |||
| Computerized | Electronic | ||
| Car | Compact | 52 | 43 |
| Intermediate | 55 | 44 | |
| Full sized | 61 | 45 |
Use ? = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
H0: ?Compact ≠ ?Intermediate ≠ ?Full-sized
Ha: ?Compact = ?Intermediate = ?Full-sized
H0: ?Compact = ?Intermediate = ?Full-sized
Ha: ?Compact ≠ ?Intermediate ≠ ?Full-sized
H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sized
Ha: Not all the population means are equal.
H0: ?Computerized ≠ ?Electronic
Ha: ?Computerized = ?Electronic
H0: ?Computerized = ?Electronic
Ha: ?Computerized ≠ ?Electronic
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.)
___________________________.
State your conclusion.
Reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
Do not reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
Reject H0. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers
.Do not reject H0. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers
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