Use the given information to answer parts (a) through (d). Ho : 1 2, =0.05 Sampl

Question

Use the given information to answer parts (a) through (d). Ho : 1 2, =0.05 Sample statistics =2225, s1 = 178, n1 = 17 x2-2306, s2 = 53, n2 = 8 Assume (1 . to -1.895 (a) Find the test statstic (b) Find the standardized test statistic. t-L(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. Enter your answer in each of the answer boxes.

Explanation / Answer

                             SE
Sample   N    Mean StDev Mean
1       17    2225    178    43
2        8 2306.0   53.0    19

Difference = (1) - (2)
Estimate for difference: -81.0
95% upper bound for difference: 0.2
T-Test of difference = 0 (vs <): T-Value = -1.72 P-Value = 0.050 DF = 20

a) TS = -1.72

b) t = -1.725

c)

t is not in the rejection region

d) we fail to reject the null

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