Question

In: Statistics and Probability

Test the claim about the population​ mean, μ​, at the given level of significance using the...

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics.

​Claim: μ =30​; α=0.05​; σ =3.16.

Sample​ statistics: x bar =28.1​, n=59

Identify the null and alternative hypotheses.

Calculate the standardized test statistic.

Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.

A. The critical values are plus or minus ?

B. The critical value is ?

Solutions

Expert Solution

Solution :

Given that,

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 30

Ha: 30

The test statistics,

Z =( - )/ (/n)

= ( 28.1 - 30 ) / ( 3.16 / 59 )

= -4.62

Critical value of  the significance level is α = 0.05, and the critical value for a two-tailed test is

A ) The critical values are = 1.96

orchestra answered 2 years ago
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