Use the given information to answer parts (a) through (d) Sample statistics x 22

Question

Use the given information to answer parts (a) through (d) Sample statistics x 2272, , -189, n, -6 x2 2312, s2 -59, n2 8 Assume ?' to = 1 476 -3 -2 -1 0 1:2 3 (a) Find the test statistic (b) Find the standardized test statistic ?[ (c) Decide whether the standardized test statistic is in the rejection region. The standardized test statistic, t, is (d) Decide whether you should reject or fail to reject the null hypothesis t= (Type an integer or decimal rounded to three decimal places as needed) the rejection region. ? the null hypothesis. Enter your answer in each of the answer boxes.

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 < 0
(without pooled variances)

Hypothesis test results:

Hence,

a) Test statistic = -40

b) t = -0.500

c) not in

d) Do not reject

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -40 79.928875 5.7356966 -0.50044493 0.3177

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