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 = 44 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 47 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 5.6. From previous studies, it is known that σ1 = 1.2 and σ2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance. 1. What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.) 2. Find (or estimate) the P-value. (Round your answer to four decimal places.)
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 = 44 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 47 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 5.6. From previous studies, it is known that σ1 = 1.2 and σ2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.
1. What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)
2. Find (or estimate) the P-value. (Round your answer to four decimal places.)
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