Pediatric lung function vs level of cigarette smoking in home

One suggested environmental determinant of pediatric lung function is the level of cigarette smoking in the home. A researcher wants to do a pilot study with two groups:

Group 1 will consist of children up to 5 years of age with a meanFEV = 2.1 with standard deviation= 0.7. Both of the parents of these children will smoke.

Group 2 will consist of children up to 5 years of age with a mean FEV = 2.3 with standard deviation = 0.4. Neither of the parents of these children will smoke.

How many children will be needed in each group to have a 95% chance of detecting a significant difference using a two-sided test with alpha = 0.05?

A) 212 per group
B) 106 per group
C) 414 per group
D) 53 per group

Suppose the test is conducted by taking two samples of equal size. Assume N be the sample size.
The test statistic is , where denote the standard deviation of the population. Since population …

The expert examines a test for pediatric lung functions versus level of cigarette smoking in home.