Question

Check my 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? paints (a-1) Choose the appropriate hypotheses. eBook a. Ho: Htoy - Hord vs. Hi Huoy - Heord > 0. Reject Hy if calc>2.552 b. Ho: Utoy - Mford S O vs. Hi: Mtoy - Mford > 0. Reject Ho if tcalc <2.552 C. Ho: Htoy - Hiord 2 0 vs. Hi Hoy - Heord <0. Reject Hy if tcale <-2.552 d. Ho: Mtoy - Mford 2 0 vs. Hi: Htoy - Mford <0. Reject Hy if calc>-2.552 Print References (a-2) Calculate the tcale (Round your answer to 4 decimal places.) talc D (a-3) Based on the t-value determined, choose the correct decision. Fail to reject the null hypothesis

Answer 1

The statistical software output for this problem is:

Two sample T summary hypothesis test: Vi : Mean of Population 1 H2 : Mean of Population 2 H1 - H2 : Difference between two means Ho : P1 - 12 = 0 HA: P1 - H2>0 (with pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat Hi-P2 3.5 0.92357999 18 3.7896014 P-value 0.0007

Hence,

a - 1) Hypotheses: Option a is correct.

a - 2) tcalc = 3.7896

a - 3) Reject the null hypothesis