# Given the following hypotheses: H0: μ ≤ 10H1: μ > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the 0.05 significance level: a) State the decision rule. (Round your answer to 3 decimal places.)Reject Ho if t >________b) Compute the value of the test statistic.(Round your answer to 3 decimal places.) Value of the etst statistic __________

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Given the following hypotheses:

H0: μ ≤ 10

H1: μ > 10

A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the 0.05 significance level:

a) State the decision rule. (Round your answer to 3 decimal places.)

Reject Ho if t >________

b) Compute the value of the test statistic.(Round your answer to 3 decimal places.) Value of the etst statistic __________

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Step 1

Part (a): Decision rule:

The decision rule is given by:

Reject the null hypothesis if t >critical value. Otherwise fail to reject the null hypothesis.

The level of significance is 0.05.

It is given that test is right tailed. α = 0.05, n=10.

Note that the Excel formula =T....

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