A sample of 35 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.02 significance level. |
H0: ? ? 28 |
H1: ? >28 |
1.
a. | Is this a one- or two-tailed test? |
Two-tailed test
One-tailed test
2.
b. | What is the decision rule? |
Reject H0 when z ? 2.054
Reject H0 when z > 2.054
3.
c. | What is the value of the test statistic? (Round your answer to 2 decimal places.) |
Value of the test statistic |
4.
d. | What is your decision regarding H0? |
Fail to reject H0
Reject H0
5.
e. | What is the p-value? (Round your answer to 4 decimal places.) |
p-value |
|
H0: <= 28
Ha: > 28
a)
This is one tailed test.
b)
Critical right tailed value at 0.02 level is 2.054
Dicision rule is reject H0 if Z > 2.054
c)
Test statistics
Z = - / / sqrt(n)
= 29 - 28 / 2 / sqrt(35)
= 2.96
Value of test statistics = 2.96
d)
Since Z > 2.054, we have sufficient evidence to reject H0.
We conclude at 0.02 level that, Reject H0
e)
p value is 0.0015
A sample of 35 observations is selected from a normal population. The sample mean is 29,...
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