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Question

Part A

Ruth is concerned about the spending habits of teens. She read a report that the national weekly spending average for teens in the age group 12 to 15 years is $42. She took a random sample of 25 teens who live in a rural area and found that they spent an average of $40 per week with sample standard deviation $7.50. Test the claim that rural teens from this area spend less than the national average of $42. Use a 0.05 signicance level. State the null and alternative hypotheses. HO:,u =42, Hazy 42, Ha: y = 42 HO: ,u = 42, Ha: y > 42 Find the value of test statistic. O 6.67 O 1.33 O -6.67 O -1.33Interpret the decision in the context. At 0.05 level of significance, ... O There is sufficient evidence that the rural teens from this area spent an average less than the national average. O There is not sufficient evidence that the rural teens from this area spent an average less than the national average. O There is not sufficient evidence that the rural teens from this area spent an average different from the national average. O There is sufficient evidence that the rural teens from this area spent an average different from the national average.Question 16 1 pts Continue to consider Question 14. Find the rejection region. if: t 1.711 if? t 2.064 D Question 17 0.5 pts Continue to consider Question 14. What is your decision, reject H0 or not? " Do not reject H0, because the value of test statistic is within the rejection region. \\ Reject HO, because the value of test statistic is within the rejection region. " Do not reject H0, because the value of test statistic is not within the rejection region. ' Reject HO, because the value of test statistic is not within the rejection region