Question

A sample of 36 observations is selected from a normal population. The sample mean is 49, the population standard deviation is 5. Conducting the following test of hypothesis using the 0.05 significance level, we want to know whether the population mean is no different from 50. Is this a one-tailed test or two tailed test ?

Answer #1

A sample of 36 observations is selected from a normal population. The sample mean is 49 and the population standard deviation is 5.

At 5% level of significance we want to test whether the population mean is no different from 50.

The hypothesis testing problem is:

Since the alternative hypothesis is type, this is a two tailed test.

The test statistic is:

P value for two tail test is:

. ### by using z table

Since p value is greater than 0.05, we are unable to reject the null hypothesis.

A sample of 36
observations is selected from a normal population. The sample mean
is 49, and the population standard deviation is 5. Conduct the
following test of hypothesis using the 0.05 significance level
H0: μ = 50
H1: μ ≠ 50
e-1. What is the p-value?
(Round your z value to 2 decimal places and final
answer to 4 decimal places.)
e-2. Interpret the p-value?
(Round your z value to 2 decimal places and final
answer to 2...

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#6
A sample of 37 observations is selected from a normal
population. The sample mean is 25, and the population standard
deviation is 5. Conduct the following test of hypothesis using the
0.05 significance level.
H0: μ ≤ 24
H1: μ > 24
Is this a one- or two-tailed test?
"One-tailed"—the alternate hypothesis is greater than
direction.
"Two-tailed"—the alternate hypothesis is different from
direction.
What is the decision rule? (Round your answer to 3
decimal places.)
What is the value...

A sample of 37 observations is selected from a normal
population. The sample mean is 25, and the population standard
deviation is 5. Conduct the following test of hypothesis using the
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one- or two-tailed test? "One-tailed"-the alternate hypothesis is
greater than direction. "Two-tailed"-the alternate hypothesis is
different from direction. (b) What is the decision rule? (Round
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