t-test for two Independent Samples Research results suggest that a relationship between the TV viewing habits of 5-year-old children and their future performance in high school. For example, Anderson, Huston, Wright, and Collins (1998) report that high school students who regularly watched Sesame Street as children had better grades in high school than their peers who did not watch Sesame Street. Suppose that a researcher intends to examine this phenomenon using a sample of 20 high school students. The research first surveys the students’ parents to obtain information on the family’s TV viewing habits during the time that the students were 5 years old. Based on the survey results, the research selects a sample of n = 10 students with a history of watching Sesame Street and a sample of n = 12 students who did not watch the program. The average high school grade is recorded for each student and the data are as follows: Average High School Grade Watched Sesame Street Did Not Watch Sesame Street n = 10 M = 91 SS = 200 n = 12 M = 86 SS = 160 Using a one-tailed test with α = .01, determine whether the high school students who watched Sesame Street performed significantly better than the high school students who did not watch Sesame Street. A) State the null hypothesis in words and in a statistical form. B) State the alternative hypothesis in words and in statistical form. C) Compute the appropriate statistic to test the hypotheses. Sketch the distribution with the estimated standard error and locate the critical region(s) with the critical value(s). D) State your statistical decision E) Compute Cohen’s d. Interpret what the d really means in this context. F) What is your conclusion? Interpret the results and describe them in your own words.
t-test for two Independent Samples
Research results suggest that a relationship between the TV viewing habits of 5-year-old children and their future performance in high school. For example, Anderson, Huston, Wright, and Collins (1998) report that high school students who regularly watched Sesame Street as children had better grades in high school than their peers who did not watch Sesame Street. Suppose that a researcher intends to examine this phenomenon using a sample of 20 high school students.
The research first surveys the students’ parents to obtain information on the family’s TV viewing habits during the time that the students were 5 years old. Based on the survey results, the research selects a sample of
n = 10 students with a history of watching Sesame Street and a sample of
n = 12 students who did not watch the program. The average high school grade is recorded for each student and the data are as follows:
Average High School Grade
|
Watched Sesame Street |
Did Not Watch Sesame Street |
n = 10 M = 91 SS = 200
n = 12 M = 86 SS = 160
Using a one-tailed test with α = .01, determine whether the high school students who watched Sesame Street performed significantly better than the high school students who did not watch Sesame Street.
A) State the null hypothesis in words and in a statistical form.
B) State the alternative hypothesis in words and in statistical form.
C) Compute the appropriate statistic to test the hypotheses. Sketch the distribution with the estimated standard error and locate the critical region(s) with the critical value(s).
D) State your statistical decision
E) Compute Cohen’s d. Interpret what the d really means in this context.
F) What is your conclusion? Interpret the results and describe them in your own words.
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