Question

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 37.1 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.

Step 1: State the claim in symbolic form.

Group of answer choices

A. μ = 35.0

B. μ ≠ 35.0

C. μ < 35.0

D. μ > 35.0

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 37.1 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.

Step 2: State the alternative to the claim in symbolic form.

Group of answer choices

A. μ = 35.0

B. μ ≠ 35.0

C. μ ≥ 35.0

D. μ ≤ 35.0

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 37.1 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.

Step 3: State the null hypothesis H₀ and the alternative hypothesis H₁.

A) H0: µ = 35.0 H1: µ ≠ 35.0

B) H0: µ = 35.0 H1: µ > 35.0

C) H0: µ = 35.0 H1: µ < 35.0

Answer:                            [ Select ]                       ["A", "B", "C"]      

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 37.1 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.

Step 4: State the significance level α.

Group of answer choices

A. α = 0.01

B. α = 0.05

C. α = 0.10

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 37,1 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.

Step 5: What is the test statistic that is relevant to the test and its sampling distribution?

A) The test statistic is z = p ^ − p p q n.

B) The test statistic is t = x ¯ − μ σ n.

C) The test statistic is χ 2 = ( n − 1 ) s 2 σ 2.

  

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 37.1 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.

Step 6: What is the value of the test statistic and the P-value?

The value of the test statistic (rounded to 3 decimal places) is:

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 37.1 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.

Step 6: What is the value of the test statistic and the P-value?

The P-value (rounded to 4 decimal places) is:

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 37.1 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.

Step 7: Make a decision to reject H₀ or fail to reject H₀.

Group of answer choices

A. Reject the null hypothesis because P-value ≤ α.

B. Fail to reject the null hypothesis because P-value > α.

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 37.1 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.

Step 8: Restate the decision in nontechnical terms, addressing the original claim.

Group of answer choices

A. There is sufficient evidence to SUPPORT the claim that the true mean score is 35.

B. There is NOT sufficient evidence to support the claim that the true mean score is 35.

C. There is sufficient evidence to warrant REJECTION of the claim that the true mean score is 35.

D. There is NOT sufficient evidence to warrant rejection of the claim that the true mean score is 35.

Answer 1