Use the given information to answer parts (a) through (d). Sample statstics: x\"

Question

Use the given information to answer parts (a) through (d). Sample statstics: x": 315, s': 3.2, n1-6 2 32.9, 82-2.8, n2-8 t1.356, to 1.356 (a) Find the test statistic. (b) Find the standardized test statistic. Type an integer or decimal rounded to three decimal places as needed.) (c) Decide whether the standardized test statistic is in the rejection region The standardized test statistic, t, is the rejection region. (d) Decide whether you should reject or fail to reject the null hypothesis. the null hypothesis Enter your answer in each of the answer boxes

Explanation / Answer

Soln,

Hypotheses:

Ho:?1=?2 : claim

Ha:?1??2 : opp

Rejection Region:

Reject Ho if

|Tobs| > t0.1,12 = 1.3562

Test Statistic:

b) Tobs=?0.49822

P-value:

p?value = 2P (|T|>|Tobs|)
?

1/2 p?value = P(|T|>0.49822)

? P(|T| > 0.69548) < P(|T| > 0.49822) < P(|T| > 0.0)

? 0.25 < 1/2 p-value < 0.5

? 0.5 < p-value < 1.0

Conclusion:

Since |Tobs| = 0.49822 < t0.1,12 = 1.35622

and the p-value > ? = 0.2

c) T is not in the rejection region

d) we fail to reject Ho

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