An elementary school started a special reading enrichment program for fifth-graders that has been underway for seven months. One of the investigators believes the program is having the opposite of its intended effect, and collects a sample of 42 students from the program with a standardized reading test average of 29.3. The standardized reading test average for fifth-graders in the country is 27 with a standard deviation of 4.7. What can the investigator conclude with anof 0.05?

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:

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fifth-graders in the program

fifth-graders in the country

the program

the school

months

Sample:

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fifth-graders in the program

fifth-graders in the country

the program

the school

months

c)Compute the appropriate test statistic(s) to make a decision aboutH₀.

(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

critical value =;test statistic =

Decision:

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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.

A)The standardized reading test of fifth-graders in the special reading enrichment program is significantly higher than fifth-graders in the country.

B)The standardized reading test of fifth-graders in the special reading enrichment program is significantly lower than fifth-graders in the country.

OR

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