Question

As a part of an in-class project, a group of students studies how does an early morning drink affects the laziness of the students? As the initial study, they compare Black tea and Coffee. The class has 40 students and one-half of the students are given coffee and one-half Black tea. The number of times each student yawns during the lecture is recorded as a measurement of laziness yields the following summary results:

Black tea	Coffee
x ¯ 1 = 5.13	x ¯ 2 = 8.47
s 1 = 3.02	s 2 = 4.49

The group of students believes the students who drink coffee early in the morning are lazier than the students who drink Black tea. Suppose the mean number of Yawns after drinking Black tea and Coffee are μ 1and μ 2, respectively. Answer the following questions considering these two groups are independent.

(a) Define the hypothesis.

(B)statement regarding the assumptions for this test?

(C)Find the test statistic for this test

(d) Find the P-value of the test.

(e) What is your conclusion at 2% significance level. Fill in the following statement

Answer 1