Question

In: Statistics and Probability

An automobile dealer conducted a test to determine if the time in minutes needed to complete...

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 43
Full-sized 61 46

Use α = 0.05 to test for any significant differences.

State the null and alternative hypotheses.

H0: μCompact = μIntermediate = μFull-sized
Ha: μCompactμIntermediateμFull-sizedH0: μComputerizedμElectronic
Ha: μComputerized = μElectronic    H0: μComputerized = μElectronic
Ha: μComputerizedμElectronicH0: μCompactμIntermediateμFull-sized
Ha: μCompact = μIntermediate = μFull-sizedH0: μComputerized = μElectronic = μCompact = μIntermediate = μFull-sized
Ha: Not all the population means are equal.

Find the value of the test statistic. (Round your answer to two decimal places.)

2

Find the p-value. (Round your answer to three decimal places.)

p-value = 3

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.    Do not reject H0. There is 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.

can someone explain how to get the p value using a ti-83/84

Solutions

Expert Solution

Randomized blocks ANOVA
Mean n Std. Dev
56.000 3 4.583 Computerized
44.000 3 1.732 Electronic
47.500 2 6.364 Compact
49.000 2 8.485 Intermediate
53.500 2 10.607 Full sized
50.000 6 7.266 Total
ANOVA table
Source SS    df MS F    p-value
Treatments 216.00 1 216.000 48.00 .0202
Blocks 39.00 2 19.500 4.33 .1875
Error 9.00 2 4.500
Total 264.00 5

Hypothesis:

Ho: computerized = electronics

Ha: computerized electronics

Find the value of the test statistic. (Round your answer to two decimal places.)

Test Statistic=48

Find the p-value. (Round your answer to three decimal places.)

p-value = 0.020

State your conclusion.

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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