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 a = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy-ford ≤0 vs. H₁: Htoy - ford > 0. Reject H₂ if tcalc > 2.552 b. H₂-Htoy - ford ≤0 vs. H₁: Htoy - Hford > 0. Reject H₂ if tcalc <2.552 c. Hg- Htoy - ford 20 vs. H₁: Htoy - ford <0. Reject Hå if tcalc <-2.552 d. He: Htoy - ford 20 vs. H₁: Htoy - Hford <0. Reject H₂ if tcalc > -2.552 a tcalc Oc Od (a-2) Calculate the calc- (Round your answer to 4 decimal places.)

The average mpg usage for a 2017 Toyota Prius for a sample of 7 tanks of gas was 43.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 7 tanks of gas was 39.9 with a standard deviation of 2.0. Assuming equal variances, at α = .05, 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 > 1.782 H0: μtoy – μford ≤ 0 vs. H1: μtoy – μford > 0. Reject H0 if tcalc < 1.782 H0: μtoy – μford ≥ 0 vs. H1: μtoy – μford < 0. Reject H0 if tcalc < – 1.782 H0: μtoy – μford ≥ 0 vs. H1: μtoy – μford < 0. Reject H0 if tcalc > – 1.782   multiple choice 1 a b c d  (a-2) Calculate the tcalc. (Round your answer to 4 decimal places.) tcalc            ________ (a-3) Based on the tcalc determined, choose the correct decision.  multiple choice 2 Fail to reject the null hypothesis Reject the null hypothesis (a-4) Is…

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…

The tensile strength of paper using 5% hardwood and 10% hardwood are to be compared. A random sample of 41 sheets made from 5% hardwood had an average tensile strength of 1.52 lbs. with a standard deviation of 0.33 lbs. A random sample of 61 sheets made from 10% hardwood had an average tensile strength of 1.88 lbs. with a standard deviation of 0.42 lbs. Can we conclude the average tensile strength is the same for the two types of paper? Use 5% significance and p-values. Part 1) Conduct the test using the assumption that the sample standard deviations are the same as the population standard deviations. Part 2) Conduct the test using the assumption that the population standard deviations are unknown but equal (you also must assume a normal population here). Part 3) Conduct the test with only the assumption that we have simple random samples from normal populations. May you please explain which stat test you used on your calculator and why. Thank you very much for your help!