1) Provide an appropriate response.
Suppose you want to test the claim that µ > 25.6. Given a sample size of n = 43 and a level of significance of when should you reject H0?
A) Reject H0 if the standardized test statistic is greater than 2.33.
B) Reject H0 if the standardized test statistic is greater than 1.28.
C) Reject H0 if the standardized test statistic is greater than 1.96.
D) Reject H0 if the standardized test statistic is greater than 2.575.
2) A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 6 new rackets at 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is Give the proper conclusion for the test. Use
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A)
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There is insufficient evidence to conclude that µ, the true mean tension of the rackets, is less than 42 psi. |
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B)
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Accept H0 and conclude that µ, the true mean tension of the rackets, equals 42 psi. |
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C)
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Reject H0 and conclude that µ, the true mean tension of the rackets, equals 42 psi. |
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D)
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There is sufficient evidence to conclude that µ, the true mean tension of the rackets, is less than 42 psi. |
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3) Find the critical value for a right-tailed test with a = 0.05.
4) A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of 100 doctors results in 83 who indicate that they recommend brand Z. The test statistic in this problem is approximately (round to the nearest hundredth):
Question 3 options:
5) Determine the critical value for a right-tailed test of a population mean at the a = 0.005 level of significance with 28 degrees of freedom.
