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Exam 7: Hypothesis Testing

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Question 1

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A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?

A) $H _ { 0 } : \mu \leq 4$
B) $H _ { 0 } : \mu \geq 4$
C) $H _ { 0 } : \mu = 4$
D) $H _ { 0 } : \mu \neq 4$

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Question 2

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At a certain university, the average attendance at basketball games has been 1,000 spectators per game. Due to the dismal showing of the team this year, the attendance for the first four games has been only 700 Spectators per game with a standard deviation of 200. The athletic director claims that the attendance is The same as last year. If , what is the test statistic?

A) -3.00
B) -6.00
C) -7.00
D) -9.00

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Question 3

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Evaluating the data should occur after summarizing the results of performing a hypothesis test.

Using the z table in Table E of Appendix C, what are the critical values for a two-tailed test when $a =$ 0.03.

Is the statement $\mathrm { H } _ { 0 } : \mu = 6$ a valid null hypothesis?

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy a standard deviation of 1.3 or less. If 18 measurements are Taken and their standard deviation is 1.6, is there enough evidence to reject the claim that her standard Deviation is within the limit at ?

A recent survey indicated that the average amount spent for breakfast by business managers was $7.58, with a standard deviation of $0.42. It was felt that breakfasts on the West Coast were higher than $7.58. A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. -Give the p-value for the data provided above.

What are the critical t-values for a two-tailed test when $\alpha = 0.02 \text { and d.f. } = 18$ ?

Alyson Silvastein, a scientist, reports that the average number of hours a person can go without sleep and still function normally is 29 with a standard deviation of five hours. A sample of 49 people had an average of 31 hours that they could go without sleep and still function normally. The test value for this hypothesis would be 2.8.

The formula for the z -test for proportions is __________.

Using the z table in Table E of Appendix C, determine the critical value for the right-tailed test with α = 0.035.

Are the following statements $\mathrm { H } _ { 0 } : l = 9 \mathrm { H } _ { \mathrm { A } } : l < 9$ a valid pair of null and alternative hypotheses?

A type I error can occur when the null hypothesis is not rejected.

The power of a test measures the sensitivity of the test to detect a real difference in parameters if one actually exists.

If the observed value is 7, the expected value is 3, and the standard error is 4, then the test value used for the z test is equal to

A doctor believes that the standard deviation of systolic blood pressure is 15 mmHg. A random sample of 24 patients found a standard deviation of 23. Assume the variable is normally distributed and $a = 0.01$ What are the critical values?

If the type II error in a hypothesis test with $a = 0.05 \text { is } 0.30$ , then the power of this test is

Assume that in a hypothesis test with null hypothesis $\mathrm { H } _ { 0 } : \mu = 13.0 \text { at } \alpha = 0.10$ , that a value of 17.0 for the sample mean results in the null hypothesis being rejected. That corresponds to a confidence interval result Of

Which type of null hypothesis is used in the figure below?

Which type of alternative hypothesis is used in the figure below?