Refer to the data in Exercise 17.3. Determine the sample size for Group 1 under each of the following schemes. 

Data From Exercise 17.3

A teacher would like to know the average height (in  inches) of the students in her school. She divided the  students into 4 groups based on their ages from the  youngest to the oldest. The total number of students  for group 1 is 125, for group 2 is 118, for group 3 is 132,  and for group 4 is 123. Random samples of heights of  students are taken from each group where the sample  size, sample mean, and sample standard deviation are  summarized in the following table.

a. Proportional allocation

b. Optimum allocation for the overall population mean

Transcribed Image Text:

n₁ X₁ S₁ Group 1 45 58 0.3 Group 2 34 64 0.1 Group 3 41 63.5 1.1 Group 4 30 65 0.8