Can the null hypothesis be rejected at a the given level


Consider the Minitab output shown below.

Two sample T-Test and CI

Sample

N

Mean

StDev

SE Mean

1

15

50.20

1.75

0.45

2

15

51.98

2.15

0.56

Difference = nu (1) - mu (2)

Estimate for difference: 7

958 CI for difference: (-3.246, -0.314)

T-Test of difference = 0 (vs not =): T-Value =-2.49 P-Value = 0.019 DF = 7 Both use Pooled StDev = 1.9602

(a) Fill in the missing values.

(b) Can the null hypothesis be rejected at a the 0.05 level? Why?

(c) Use the output and the t-table to find a 99% CI on the difference in means.

(d) Suppose that the alternative hypothesis was H1: μ1 =  μ2 versus H1: μ1 > μ2. What is the P-value? What conclusions would you draw?

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Basic Statistics: Can the null hypothesis be rejected at a the given level
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