The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3. Assuming equal variances, at α = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc > 2.552 H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552 H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552 H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552 multiple choice 1 a b c d (a-2) Calculate the tcalc. (Round your answer to 4 decimal places.) (a-3) Based on the t-value determined, choose the correct decision. multiple choice 2 Fail to reject the null hypothesis Reject the null hypothesis (a-4) Is the true mean mpg lower for the Ford Fusion? multiple choice 3 Yes No (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)
The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3.
Assuming equal variances, at α = .01, is the true mean mpg lower for the Ford Fusion?
(a-1) Choose the appropriate hypotheses.
- H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc > 2.552
- H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552
- H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552
- H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552
multiple choice 1
-
a
-
b
-
c
-
d
(a-2) Calculate the tcalc. (Round your answer to 4 decimal places.)
(a-3) Based on the t-value determined, choose the correct decision.
multiple choice 2
-
Fail to reject the null hypothesis
-
Reject the null hypothesis
(a-4) Is the true mean mpg lower for the Ford Fusion?
multiple choice 3
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Yes
-
No
(b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)
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