Question

Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To test this​ claim, a random sample of 40

adults was​ selected, and their average coffee consumption was found to be 1.9 cups per day. Assume the standard deviation of daily coffee consumption per day is

0.5 cups. Using α=0.01​, complete parts a-e below.

a) Determine the null and alternative hypotheses.

b) The​ z-test statistic is

c) The critical​ z-score(s) is(are)

d) Because the test statistic _____, ___ the null hypothesis.

e) Determine the​ p-value for this test.

Answer 1

(a) Ho: M = lit verous (6) The test statistic tail fly a-M) 1.9-1.7 22 12.530 WHO) are 2.575 (c) x=0.01 signiti Cance level. The critical 2-Scores -2.575 (a) Because the test stetstic not in the tritical region is do not reject the null hypothesix le The p-value = 20.0114