Mathematics

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent.

The critical value of Xfor a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 4.613, state your conclusion about the relationship between gender and colorblindness.

A.Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.

B.Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related.

C.Do not Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related.

D.Do not Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.

 

A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 8 times at the required speed. State the null and alternative hypotheses for this test.

A.H0: µ = 160; Ha: µ > 150

B.H0: µ = 150; Ha: µ > 150

C.H0: µ = 160; Ha: µ > 160

D.H0: µ = 140; Ha: µ > 160

 

A 95% confidence interval for the mean of a normal population is found to be 17.6 < µ < 23.6. What is the margin of error?

A. 2.0
B. 2.7
C. 3.0
D. 4.0

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 25.2. What is the margin of error?

A. 3.9
B. 4.8
C. 4.9
D. 3.7

Which of the following statements is true?

A. The p distribution cannot be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
B. The t distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
C. The t distribution cannot be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
D. The p distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 18 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3? Explain your answer.

A. Smaller. E decreases as the square root of the sample size gets larger.
B. Smaller. E increases as the square root of the sample size gets larger.
C. Larger. E decreases as the square root of the sample size gets larger.
D. Larger. E increases as the square root of the sample size gets larger.

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