Question

Two teaching methods and their effects on science test scores are being reviewed.

A random sample of 11 students, taught in traditional lab sessions, had a mean test score of 76.7 with a standard deviation of 3.2.

A random sample of 16 students, taught using interactive simulation software, had a mean test score of 83.2 with a standard deviation of 6.4.

Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Use a significance level of = 0.10 for the test.

(Assume that the population variances are not equal, i.e. set “pooled” to “no.”)

State the null and alternate hypotheses for this problem.

Group of answer choices

a.Ho:μtraditional<μinteractive;Ha:μtraditional≥μinteractive

b.Ho:μtraditional≤μinteractive;Ha:μtraditional>μinteractive

cHo:μtraditional≥μinteractive;Ha:μtraditional<μinteractive

d

Use your calculator to determine the p-value. Explain which test you used and what you entered into the calculator.

State your conclusion. Explain how you arrived at your conclusion.

What is your conclusion in the context of the problem?

Answer 1

Sol:

Ho:mu1=mu2

Ha:mu1<mu2

Ho:μtraditional≥μinteractive;Ha:μtraditional<μinteractive

In Ti 83 cal

STAT>TESTS>2-SampTTest

p value=0.0010

which test you used -2 sample t test

p<0.10

Reject null hypothesis

Accept alternative hypothesis

There is suffcient statistical evidence at 10% level of significance to conclude that  mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software