A study conducted last year indicated that adults spent an average of 14 hours

| August 30, 2017

Question
A study conducted last year indicated that adults spent an average of 14 hours on household chores during the weekend. A research group wishes to determine if the average hours spent on household chores during the weekend this year is different from the 14 hours of last year. Consequently, the research group selects a random sample of 64 adults and finds the mean hours spent on household chores during the weekend to be 15.05 hours. The population standard deviation is known to be 3.0 hours.

(a) Formulate and test the appropriate hypotheses using the p-value approach. What is the p-value of the test? Would you reject the null hypothesis at alpha 0.01? What would be your conclusion

(b) Would you reject the null hypothesis at alpha 0.001? what would be your conclusion?

(c) How strong is the evidence against the null hypothesis?

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