Question

Assume the mean FEV1 for 5-year-old boys is 2 liters, and the population standard deviation is 0. A random sample of 5-year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 2.5 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2 liters? Use the level of significance and the p-value method with the TI-84 calculator.

A) Yes
B) No
C) Insufficient Information
D) Not Applicable

Answer 1

To test if the mean FEV1 in the high-pollution community differs from 2 liters, we can perform a one-sample t-test using the t-distribution.

Step-by-step explanation:

To test if the mean FEV1 in the high-pollution community differs from 2 liters, we can perform a one-sample t-test. Since the population standard deviation is given as 0, we can use the t-distribution instead of the normal distribution.

The null hypothesis for the test is that the population mean FEV1 in the high-pollution community is equal to 2 liters (H0: µ = 2) and the alternative hypothesis is that the population mean FEV1 is different from 2 liters (Ha: µ ≠ 2).

By conducting the t-test, we can calculate the t-statistic and the p-value. If the p-value is less than the level of significance (α), we can reject the null hypothesis and conclude that the mean FEV1 in the high-pollution community differs from 2 liters. Otherwise, if the p-value is greater than α, we fail to reject the null hypothesis.