Question

An elementary school started a special reading enrichment program for seventh-graders that has been underway for eight months. One of the investigators wants to confirm the program is having its intended effect, and collects a sample of 34 students from the program with a standardized reading test average of 24.1. The standardized reading test average for seventh-graders in the country is 26.1 with a standard deviation of 4.9. What can the investigator conclude with α = 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test related-samples t-test

b)
Population:
---Select--- the school seventh-graders in the program the program months seventh-graders in the country
Sample:
---Select--- the school seventh-graders in the program the program months seventh-graders in the country

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

The standardized reading test of seventh-graders in the special reading enrichment program is significantly higher than seventh-graders in the country.The standardized reading test of seventh-graders in the special reading enrichment program is significantly lower than seventh-graders in the country.    The standardized reading test of seventh-graders in the special reading enrichment program is not significantly different than seventh-graders in the country.

Answer 1

a) The appropriate test statistic is - z-test

b) Population : seventh-graders in the country

Sample : the school seventh-graders in the program months

c)

d)

e) Effect size , medium effect

f) The standardized reading test of seventh-graders in the special reading enrichment program is not significantly different than seventh-graders in the country.