15.A consumer advocacy group claims that the mean amount of juice in a 16
ounce bottled drink is not 16 ounces, as stated by the bottler.
Determine the null and alternative hypotheses for the test described.
| A. H0: = 16 ouncesHa: < 16 ounces |
| B. H0: 16 ouncesHa: = 16 ounces |
| C. H0: = 16 ouncesHa: > 16 ounces |
| D. H0: = 16 ouncesHa: 16 ounces |
16A supplier of DVDs claims that no more than 1% of the DVDs are defective. In a random sample of 600 DVDs, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the suppliers claim that no more than 1% are defective.
| A. Do not reject the null hypothesis and conclude that there is evidence to support the claim that more than 1% of the DVDs are defective. |
| B. Reject the null hypothesis and conclude that there is insufficient evidence to support the claim that more than 1% of the DVDs are defective. |
| C. Do not reject the null hypothesis and conclude that there is insufficient evidence to support the claim that more than 1% of the DVDs are defective. |
| D. Reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than 1% of the DVDs are defective. |
17.The owner of a football team claims that the average attendance at home games is over 4000, and he is therefore justified in moving the team to a city with a larger stadium. Assume that a hypothesis test of the claim has been conducted and that the conclusion of the test was to reject the null hypothesis. Identify the population to which the results of the test apply.
| A. All games played by the team in question in which the attendance is over 4000 |
| B. All future home games to be played by the team in question |
| C. All home games played by the team in question |
| D. None of the populations given are appropriate |
18.A right-tailed test is conducted at the 5% significance level. Which of the following z-scores is the smallest one in absolute value that leads to rejection of the null hypothesis?
| A. 1.61 |
| B. 1.85 |
| C. -1.98 |
| D. -2.06 |
19.
A study of a brand of in the shell peanuts gives the following results:
A significant event at the 0.01 level is a fan getting a bag with how many peanuts?
| A. 30 peanuts |
| B. 25 or 30 peanuts |
| C. 25 or 55 peanuts |
| D. 25 peanuts |
20.without computing a P-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.
A.
is less than 1 standard deviation above the claimed mean.
B.
is more than 4 standard deviations above the claimed mean.
C.
is less than 1 standard deviation above the claimed mean.
D.
is more than 4 standard deviations above the claimed mean.
21.
One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.
| Colorblind | Not Colorblind | Total |
| Male | 7 | 53 | 60 |
| Female | 1 | 39 | 40 |
| Total | 8 | 92 | 100 |
If gender and colorblindness are independent, find the expected values corresponding to the female combinations of gender and colorblindness.
| A. Colorblind Female 4.8; Not Colorblind Female 55.2 |
| B. Colorblind Female 3.2; Not Colorblind Female 36.8 |
| C. Colorblind Female 4.8; Not Colorblind Female 35.2 |
| D. Colorblind Female 3.8; Not Colorblind Female 36.2 22. Which of the following statements is true? | A. The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small. | | B. The p distribution can be used when finding a confidence interval for the population mean whenever the sample size is small. | | C. The t distribution cannot be used when finding a confidence interval for the population mean whenever the sample size is small. | | D. The p distribution cannot be used when finding a confidence interval for the sample mean whenever the sample size is small. | 23. The following data were analyzed using one-way analysis of variance. | A | B | C | | 34 | 27 | 19 | | 26 | 23 | 21 | | 31 | 29 | 22 | | 28 | 21 | 12 | Which one of the following statements is correct? | A. The purpose of the analysis is to determine whether the groups A, B, and C are independent. | | B. The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal. | | C. The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal. | | D. The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal. 24. 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. State the null and alternative hypotheses for this test. | A. H0: = 180;Ha: > 180 | | B. H0: > 180; Ha: > 180 | | C. H0: < 180; Ha: > 180 | | D. H0: = 180; Ha: < 180 25. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. | Colorblind | Not Colorblind | Total | | Male | 8 | 52 | 60 | | Female | 2 | 38 | 40 | | Total | 10 | 90 | 100 | If gender and colorblindness are independent, find the expected values corresponding to the four combinations of gender and colorblindness, and enter them in the following table along with row and column totals. | Colorblind | Not Colorblind | Total | | Male | | | | | Female | | | | | Total | | | | | A. Male Colorblind 6.0; Male Not Colorblind 54.0 | | B. Male Colorblind 7.0; Male Not Colorblind 53.0 | | C. Male Colorblind 8.0; Male Not Colorblind 52.0 | | D. Male Colorblind 6.0; Male Not Colorblind 53.0 26. A 95% confidence interval for the mean of a normal population is found to be 15.6 < < 24.8. What is the margin of error? | A. 4.4 | | B. 4.6 | | C. 4.8 | | D. 5.0 | 27. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. | Colorblind | Not Colorblind | Total | | Male | 7 | 53 | 60 | | Female | 1 | 39 | 40 | | Total | 8 | 92 | 100 | If gender and colorblindness are independent, find the expected values corresponding to the male combinations of gender and colorblindness. | A. Colorblind Male 4.8; Not Colorblind Male 55.2 | | B. Colorblind Male 6.8; Not Colorblind Male 53.2 | | C. Colorblind Male 4.8; Not Colorblind Male 55.4 | | D. Colorblind Male 4.8; Not Colorblind Male 56.2 | 28. A 95% confidence interval for the mean of a normal population is found to be 13.2 < < 22.4. What is the margin of error? | A. 4.6 | | B. 4.4 | | C. 4.2 | | D. 5.6 | 29. A 95% confidence interval for the mean of a normal population is found to be 17.6 < < 23.6. What is the margin of error? | A. 2.0 | | B. 2.7 | | C. 3.0 | | D. 4.0 | 30. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The critical value of X2for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of theX2statisticis 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. | 31. The __________ test statistic is for the one-way analysis of variance. | A. P-Value | | B. t | | C. F | | D. p | 32. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. | Colorblind | Not Colorblind | Total | | Male | 7 | 53 | 60 | | Female | 1 | 39 | 40 | | Total | 8 | 92 | 100 | State the null and alternative hypothesis for the information above. | A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are related in some way. | | B. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way. | | C. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way. | | D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way. | 33. A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed. Data from thistest hada sample mean of 171.6 yards with a sample standard deviation of 2.4 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfers requirements. Use the partial t-table below. | Area in one tail | | 0.025 | 0.05 | | Area in two tails | | Degrees of Freedom n - 1 | 0.05 | 0.10 | | 6 | 2.447 | 1.943 | | 7 | 2.365 | 1.895 | | 8 | 2.306 | 1.860 | | 9 | 2.262 | 1.833 | | A. Accept the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 170 yards. | | B. Accept the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards. | | C. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 170 yards. | | D. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards. | 34. 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 golfers requirements. Use the partial t-table below. | Area in one tail | | 0.025 | 0.05 | | Area in two tails | | Degrees of Freedom n - 1 | 0.05 | 0.10 | | 6 | 2.447 | 1.943 | | 7 | 2.365 | 1.895 | | 8 | 2.306 | 1.860 | | 9 | 2.262 | 1.833 | | A. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards. | | B. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. | | C. Do not reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. | | D. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards. | 35. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. | Colorblind | Not Colorblind | Total | | Male | 8 | 52 | 60 | | Female | 2 | 38 | 40 | | Total | 10 | 90 | 100 | Find the value of the X2statistic for the data above. | A. 1.463 | | B. 1.852 | | C. 1.947 | | D. 1.949 | 36.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: = 160; Ha: > 150 | | B. H0: = 150; Ha: > 150 | | C. H0: = 160; Ha: > 160 | | D. H0: = 140; Ha: > 160 | 37.One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. | Colorblind | Not Colorblind | Total | | Male | 7 | 53 | 60 | | Female | 1 | 39 | 40 | | Total | 8 | 92 | 100 | Find the value of theX2statistic for the data above. | A. 1.325 | | B. 1.318 | | C. 1.286 | | D. 1.264 | 38.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. Data from this testresulted in a sample mean of 163.2 yards with 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 golfers requirements. Use the partial t-table below to solve this problem. | Area in one tail | | 0.025 | 0.05 | | Area in two tails | | Degrees of Freedom n - 1 | 0.05 | 0.10 | | 6 | 2.447 | 1.943 | | 7 | 2.365 | 1.895 | | 8 | 2.306 | 1.860 | | 9 | 2.262 | 1.833 | | A. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 160 yards. | | B. Reject the null hypothesis. The data does provide sufficient evidence that the average distance is greater than 160 yards. | | C. t= 1.2334; Critical value = 1.992 | | D. Insufficient information to answer this question. | 39.A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed. State the null and alternative hypotheses for this test. | A. H0: > 170; Ha: = 170 | | B. H0: < 170; Ha: = 170 | | C. H0: = 170; Ha: > 170 | | D. H0: = 160; Ha: > 160 | 40.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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