Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics. ​Claim: μ=50​; α=0.08​; σ=3.95. Sample​ statistics: x=49.7​, n=67 a. Identify the null and alternative hypotheses b. Calculate the standardized test statistic. c. Determine the critical​ value(s). d. Determine the outcome and conclusion of the test.

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Test the claim about the population​ mean, μ​,
at the given level of significance using the given sample statistics.
​Claim:
μ=50​;
α=0.08​;
σ=3.95.
Sample​ statistics:
x=49.7​,
n=67

a. Identify the null and alternative hypotheses

b. Calculate the standardized test statistic.

c. Determine the critical​ value(s).

d. Determine the outcome and conclusion of the test.

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