Question

A sample is drawn from a population and we estimate that the two-sided 99% conﬁdence interval on the mean of the population is 1.09007 ≤ µ ≤ 1.40993. One of the following statement is correct, determine which.

A. We would reject the null hypothesis H0 : µ = 1.1 against the alternative hypothesis H1 : µ 6= 1.1 at the level of signiﬁcance α = 1%.

B. We would fail to reject the null hypothesis H0 : µ = 1.5 against the alternative hypothesis H1 : µ 6= 1.5 at the level of signiﬁcance α = 1%.

C. The P-value of the test H0 : µ = 1 vs H1 : µ 6= 1 is less or equal to 0.01.

D. The P-value of the test H0 : µ = 1.2 vs H1 : µ 6= 1.2 is less or equal to 0.01.

Answer #1

The one sample t-test from a sample of n = 19 observations for
the two-sided (two-tailed) test of
H0: μ = 6
H1: μ ≠ 6
Has a t test statistic value = 1.93. You may assume that the
original population from which the sample was taken is symmetric
and fairly Normal.
Computer output for a t test:
One-Sample T: Test of mu = 6 vs not = 6
N Mean
StDev SE Mean 95%
CI
T P
19 6.200 ...

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Explain.
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