Question

Question 1

Consider the following hypothesis test.

H₀:  ₁ -  ₂= 0
H_a:  ₁ -  ₂≠ 0

The following results are from independent samples taken from two populations.

Sample 1	Sample 2
n 1 = 35	n 2 = 40
x 1 = 13.6	x 2 = 10.1
s 1 = 5.5	s 2 = 8.2

a. What is the value of the test statistic (to 2 decimals)?

b. What is the degrees of freedom for the t distribution? (Round down your answer to the whole number)

c. What is the p-value? Use z-table.

The area in the upper tail is Select (less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20Item 3) two-tailed p-value is between Select (less than .01between .01 and .02between .02 and .05between .05 and .1between .1 and .20between .20 and 40greater than .40)

d. At  = .05, what is your conclusion?

p-value is Select (greater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, do not rejectequal to 0.05, rejectnot equal to 0.05, reject)

Question 2

Consider the following hypothesis test.

H₀:  ₁ -  ₂≤ 0
H_a:  ₁ -  ₂> 0

The following results are for two independent samples taken from the two populations.

Sample 1	Sample 2
n 1 = 40	n 2 = 60
x 1 = 25.5	x 2 = 22.8
σ 1 = 5.8	σ 2 = 6

a. What is the value of the test statistic (round to 2 decimals)?

b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places.

c. With  = .05, what is your hypothesis testing conclusion?

p-value is Select (greater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, do not rejectequal to 0.05, rejectnot equal to 0.05, reject)

Answer 1