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In: Economics

22 smokers were surveyed and they sleep an average of 7.3 hours per day. Suppose that...

  1. 22 smokers were surveyed and they sleep an average of 7.3 hours per day. Suppose that the general public need an average of 7.5 hours of sleep each day and with a standard deviation of 0.5.

    (a) Test the hypothesis that there is statistically significant difference in sleep time between the smokers and general public at the 5% significance level. (b) Test the hypothesis that smokers need less sleep time than the general public at the 5% significance level. (Hint: For parts (a) and (b), you need to conduct single sample t tests. Please write down clearly the null and alternative hypotheses, carry out the tests and conclude.) (c.) Suppose now you want to do the same test in part (a) at the 10% significance level instead of 5% level. Would your conclusion in part (a) change?

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