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Chapter 8: Q2CQQ (page 356)

Tails Determine whether the given claim involves a hypothesis test that is left-tailed, two-tailed, or right-tailed.

a. p 鈮� 0.5

b.\(\mu \)< 98.6掳F

c.\(\sigma \)> 15 cm

Short Answer

Expert verified

a.Two-tailed test

b.Left-tailed test

c.Right-tailed test

Step by step solution

01

Given information

The tail of the test is to be determined to correspond to the given claim.

02

Tail of the test

The tail of the test is determined by the sign used in the claim.

  • A less than sign implies that the test is left-tailed.
  • A greater than sign implies that the test is right-tailed
  • A not equal sign implies that the test is two-tailed.

a.

The given claim is as follows:

\(p \ne 0.5\)

Since there is a not equal sign in the claim, the test is two-tailed.

b.

The given claim is as follows:

\(\mu < {98.6^ \circ }F\)

Since there is a less than sign in the claim, the test is left-tailed.

c.

The given claim is as follows:

\(\sigma > 15\;{\rm{cm}}\)

Since there is a greater than sign in the claim, the test is right-tailed.

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Most popular questions from this chapter

Finding Critical t Values When finding critical values, we often need significance levels other than those available in Table A-3. Some computer programs approximate critical t values by calculating t=df脳eA2/df-1where df = n-1, e = 2.718, A=z8脳df+3/8脳df+1, and z is the critical z score. Use this approximation to find the critical t score for Exercise 12 鈥淭ornadoes,鈥� using a significance level of 0.05. Compare the results to the critical t score of 1.648 found from technology. Does this approximation appear to work reasonably well?

Final Conclusions. In Exercises 25鈥�28, use a significance level of 伪 = 0.05 and use the given information for the following:

a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.)

b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Original claim: The standard deviation of pulse rates of adult males is more than 11 bpm. The hypothesis test results in a P-value of 0.3045.

Testing Hypotheses. In Exercises 13鈥�24, assume that a simple random sample has been and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

Course Evaluations Data Set 17 鈥淐ourse Evaluations鈥� in Appendix B includes data from student evaluations of courses. The summary statistics are n = 93, x = 3.91, s = 0.53. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00.

Test Statistics. In Exercises 13鈥�16, refer to the exercise identified and find the value of the test statistic. (Refer to Table 8-2 on page 362 to select the correct expression for evaluating the test statistic.)

16. Exercise 8 鈥淧ulse Rates鈥�

Test Statistics. In Exercises 13鈥�16, refer to the exercise identified and find the value of the test statistic. (Refer to Table 8-2 on page 362 to select the correct expression for evaluating the test statistic.)

Exercise 7 鈥淧ulse Rates鈥�
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