Chapter 6, Section 4-HT, Exercise 209

Use thet

-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

TestH0:1=2

vsHa:1>2

using the sample resultsx1=56

,s1=8.2

withn1=30

andx2=51

,s2=6.9

withn2=40

.

(a) Give the test statistic and thep

-value.

Round your answer for the test statistic to two decimal places and your answer for thep

-value to three decimal places.

test statistic=

p

-value=

SHOW HINT

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(b) What is the conclusion of the test? Test at a5%

level.

RejectH0

.

Do not rejectH0

.

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