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The SAT subject tests in chemistry and physics for two groups of 15 students each electing to take these tests are given below. Chemistry Physics...
The SAT subject tests in chemistry and physics for two groups of 15 students each electing to take these tests are given below.
Chemistry Physics
x-bar=644 x-bar=658
s = 114 s = 103
n = 15 n = 15
a. To use the two-sample t test with a pooled estimate of σ2, you must assume that the two population variances are equal. Test this assumption using the F test for equality of variances. What is the approximate p-value for the test?
b. Construct a 90% confidence interval for the variance ratio.
c. Now use the two-sample t test to detect a difference between the two population means. State the null and alternative hypotheses for the test. Test using α = 0.01 and state your conclusions.
d. Find the approximate p-value for the test.
e. Find a 99% confidence interval for (????1−????2). Interpret the interval.
