1.An article summarized results from a randomized study of 1600 adults and it stated that 40% of men and 35% of women surveyed reported they napped in the past 24 hrs

men: 280 nap, 420 no nap, 700 row total

women: 315 nap, 585 no nap, 900 row total

TOTAL: 595 nap total, 1005 no nap total, 1600 row total (all respondents)

M=man. F=female. N=nap. Nc=no nap

Ho=gender and napping are independent

Ha=gender and napping are NOT independent

a. find the chi-square test statistic.

b. what is the p-value associated with test-statistic.

c. to what populations would it be reasonable to generalize conclusions drawn from our inferential procedures?

2.are nuggets more expensive in Europe than in the US? researchers found that the cost of nuggets in the US in June 2017 was $4.62. to test if this claim holds true for Europe, they took a random sample of 12 McDs restaurants in Europe in June 2017 and obtained a mean price of $4.88 and SD price of $0.462. assume the sample is representative of Europe McD's and assume the distribution of nuggets prices are approx normal. does the sample data suggest that the mean June 2017 price of nuggets in Europe is greater than the reported US price? conduct the test at 5% significance.

a. is this relevant distribution used for testing z, t, binomial, or chi-square distribution?

b. state null and alternative hypotheses

c. explain if the criteria for the test is satisfied

d. calculate the test statistic

e. find p-value and draw a conclusion

f. interpret in context of the problem