Question

Two different models of a car manufacturer are compared to see if Model A has a higher average miles per gallon (mpg) than Model B. A sample of size 14 Model A cars found a sample average of 28.2 mpg and a standard deviation 3.0 mpg. A sample of size 10 Model B cars found a sample average of 22.6 mpg and a standard deviation of 5.1 mpg. Conduct the appropriate hypothesis test

A. Ho: μ_A = μ_B Ha: μ_A _______μ_B

B. Interpretation of the p-value: If the null hypothesis is______ , then there is a_____ (4 decimals) probability that the sample difference in means is ____ ____ (1 decimal) mpg.

C.Decision:_____ (Reject H₀ or do not reject H₀)

D.Conclusion: There is________(sufficient / insufficient) evidence to conclude that Model A has________ (a higher / a lower) average mpg as/than Model B.

Answer 1