A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 42 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 55 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 4.3. From previous studies, it is known that σ1 = 1.3 and σ2 = 1.2. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement.
A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 42 adults were asked about fishing as an outdoor activity. The
(a) What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Round your answer to two decimal places.)
(b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
(c) Find a 95% confidence interval for μ1 − μ2. (Round your answers to two decimal places.)
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