A test of sobriety involves measuring the subject's motor skills. Twenty sober subjects are randomly selected...

A test of sobriety involves measuring the subject's motor skills. Twenty sober subjects are randomly selected from a population having a normally distributed motor skills test scores. For the sample, the mean score was 41.0 and the standard deviation was 3.7.

a. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use both the Rejection Region and the P-value methods.

b. After stating your conclusion, provide a 99% confidence interval for the mean motor skills score. Show all working!

c. Write a one-sentence interpretation of your interval and explain how the interval can be used to test the hypothesis above.

Expert Solution

conclusion: - their is no sufficient evidence to support the claim that "mean score for sober subjects is equal to 35."

orchestra answered 2 years ago

A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take...

A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. The point estimate is: (rounded to 1 decimal place) The test statistic is: (rounded to 2 decimal places) The p-value is: (rounded to 4 decimal places) The Conclusion ...

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