A 2010 article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours or more. You believe this figure is too large and decide to conduct your own test. In a random sample of 60 men, you find that the mean is 37.8 hours of leisure time per week and that the standard deviation of the sample is 12.2 hours. Can you conclude that the information in the article is untrue? Use the 0.05 significance level. What is the critical value? +1.645 -1.645 +1.960 Both +1.960 and -1.960 Both +1.645 and -1.645 -1.960
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Step 1: Set up the hypotheses - Null hypothesis (H0): The mean leisure time per week for American men is 40 hours or more (μ >= 40) - Alternative hypothesis (H1): The mean leisure time per week for American men is less than 40 hours (μ < 40) Show more…
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A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test. In a random sample of 60 men, you find that the mean is 37.8 hours of leisure per week and that the standard deviation of the sample is 12.2 hours. Can you conclude that the information in the article is untrue? Use the .05 significance level. Determine the $p$ -value and explain its meaning.
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A 2010 article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours or more. You believe this figure is too large and decide to conduct your own test. In a random sample of 60 men, you find that the mean is 37.8 hours of leisure time per week and that the standard deviation of the sample is 12.2 hours. Can you conclude that the information in the article is untrue? Use the 0.05 significance level. What is the alternative hypothesis? The mean is equal to 40 hours. None of these The mean is less than 40 hours. The mean is greater than 40 hours. The mean is not equal to 40 hours.
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You repeat this study 5 years later to see if the leisure habits of American men have changed significantly. This time, 81 men are asked about their weekly leisure time. This new study yields a mean of 43.5 hours with a standard deviation of 5.2 hours. Does the new study show that amount of leisure time per week for American men is different than 40.0 hours? To be extra certain about your results, you decide to use a 0.01 level of significance. What is the critical value?
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