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# MA260 Statistical Analysis Online Exam 8 Answers (Ashworth College)

## 11. A skeptical

28. A golfer wished to find a ball that would travel more than 180 yards when hit with his 5- 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 7 times at the required speed. Data from this test resulted in a sample mean of 184.2 yards and a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below. 30. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. ColorblindNot ColorblindTotal Male 7 53 60 Femal 1 39 40 e Total 8 92 100 State the null and alternative hypothesis for the information above. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. ColorblindNot ColorblindTotal Male 8 52 60 Femal 2 38 40 e Total 10 90 100 Find the value of the X 2 statistic for the data above. 31. The __________ test statistic is for the one-way analysis of variance. 32. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The critical value of X 2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X 2 statistic is 3.179, state your conclusion about the relationship between gender and colorblindness. 34. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. ColorblindNot ColorblindTotal Male 7 53 60 Femal 1 39 40 e Total 8 92 100 Find the value of the X 2 statistic for the data above. 35. A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 24.8. What is the margin of error? 36. A simple random sample from a normal distribution is taken in order to obtain a 95% confidence interval for the population mean. If the sample size is 8, the sample mean x̄ is 22, and the sample standard deviation s is 6.3, what is the margin of error? Show your answer to 2 decimal places. 37. 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 25 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3? 38. 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?

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