Two Population Means with Unknown Standard Deviations · Example 11
Is the mean of the final exam scores of the online class lower than the mean of the final exam scores of the face-to-face class? Test at a 5 percent significance level. Answer the following questions:
(a) Is this a test of two means or two proportions?
(b) Are the population standard deviations known or unknown?
(c) Which distribution do you use to perform the test?
(d) What is the random variable?
(e) What are the null and alternative hypotheses? Write the null and alternative hypotheses in words and in symbols.
(f) Is this test right-, left-, or two-tailed?
(g) What is the p-value?
(h) Do you reject or not reject the null hypothesis?
(i) At the _____ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that ______.
(See the conclusion in, and write yours in a similar fashion.)
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OpenStax, Statistics · §10.1 Two Population Means with Unknown Standard Deviations · Example 11
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