# Question: This exercise shows what can happen when a hypothesis testing procedure

This exercise shows what can happen when a hypothesis-testing procedure designed for use with independent samples is applied to perform a hypothesis test on a paired sample. The gas mileages, in miles per gallon (mpg), of 10 randomly selected cars, both with and without a new gasoline additive, are shown in the following table.

a. Apply the paired t-test to decide, at the 5% significance level, whether the gasoline additive is effective in increasing gas mileage.

b. Apply the pooled t-test to the sample data to perform the hypothesis test.

c. Why is performing the hypothesis test the way you did in part (b) inappropriate?

d. Compare your result in parts (a) and (b).

a. Apply the paired t-test to decide, at the 5% significance level, whether the gasoline additive is effective in increasing gas mileage.

b. Apply the pooled t-test to the sample data to perform the hypothesis test.

c. Why is performing the hypothesis test the way you did in part (b) inappropriate?

d. Compare your result in parts (a) and (b).

## Relevant Questions

An Arizona State University professor, R. Jacobowitz, Ph.D., in consultation with G. Vishteh, M.D., and other neurosurgeons obtained data on operative times, in minutes, for both a dynamic system (Z-plate) and a static ...A variable of two populations has a mean of 7.9 and a standard deviation of 5.4 for one of the populations and a mean of 7.1 and a standard deviation of 4.6 for the other population. a. For independent samples of sizes 3 and ...Consider the quantities μ1, σ1, x1, s1, μ2, σ2, x2, and s2. a. Which quantities represent parameters and which represent statistics? b. Which quantities are fixed numbers and which are variables? The Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and ...Refer to Exercise 10.41 and find a 90% confidence interval for the difference between the mean reductions in PTH levels for fortified and unfortified orange juice.Post your question