15 - Washington State University



STAT412

Final Exam Practice Questions

1. Researchers want to see if men have a higher blood pressure than women do. A study is planned in which the blood pressures of 50 men and 50 women will be measured. What's the most appropriate research hypothesis about the means of the men and women?

A) the sample means are the same

B) the sample mean will be higher for men

C) the population means are the same

D) the population mean is higher for men than for women

2. Which of the following correlation values indicates the strongest linear relationship between two quantitative variables?

A) r = (0.30

B) r = (0.65

C) r = 0.00

D) r = 0.50

3. A student survey was done to study the relationship between class standing (freshman, sophomore, junior, or senior) and favorite type of take-out food (pizza, Chinese food, burgers, sandwich, or other). The chi-square test statistic was 25. Approximate the p-value.

A) .01 < p < 0.025

B) .025 < p < .05

C) .05 < p < .075

D) None of the above

4. Which of the following is a research question that could be addressed using a one-way analysis of variance?

A) Does mean blood pressure differ for three different age groups?

B) Does the variance of blood pressure differ for three different age groups?

C) Are the proportions of people who oppose capital punishment different for three different age groups?

D) Is there a relationship between political party preference and age?

5. In the General Social Survey, respondents were asked “If your party nominated a woman for President, would you vote for her if she were qualified for the job?” A two-way table summarizing the results for 953 respondents, by gender, is shown below:

|Gender |Yes |No |Total |

|Female |488 |66 |554 |

|Male |335 |64 |399 |

|Total |823 |130 |953 |

If the null hypothesis were true, what is the expected number of women in the sample who would give a “No” response to having a female president?

A) 54.4

B) 66.0

C) 75.6

D) None of the above

6. Suppose that the least squares regression line for predicting y from x is [pic]= 100 + 1.3x. Which of the following is a possible value for the correlation between y and x?

A) 1.3

B) –1.3

C) –0.5

D) 0.5

7. The following is a scatterplot of the calories and sodium content of several brands of meat hot dogs. The least-squares line has been drawn in on the plot.

[pic]

Predicting value of sodium content for a brand of hot dogs having 300 calories is called

A) contingency.

B) extrapolation.

C) causation.

D) correlation.

8. Using a sample of 300 children aged 10 to 12 years old, a child psychologist examines how scores on a “violent behaviors” index relate to gender and amount of television watching per day (less than 2 hours, 2 to 4 hours, more than 4 hours). In his report, the psychologist writes, “The effect of the amount of television watching on the violent behaviors index was more pronounced for males than for females.” The sentence quoted in the previous sentence indicates that

A) amount of television watching and gender are confounding variables

B) amount of television watching and gender are interacting variables

C) there is a main effect of gender

D) amount of television watching and the violent behaviors score are not related

9. Suppose the present success rate in the treatment of a particular psychiatric disorder is 65%. A research group hopes to demonstrate that the success rate of a new treatment will be better than this standard. Which of the following describes a type 1 error for this problem?

A) Claiming that the success rate of the new treatment is greater than 65% when really it isn't.

B) Failing to decide that the success rate is greater than 65% when actually it is.

C) Using a one-sided alternative hypothesis when a two-sided alternative should have been used.

D) Using a two-sided alternative hypothesis when a one-sided alternative should have been used.

10. The Los Angeles Times (Oct. 17, 1984) reported the color distribution for plain M&M’s was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&M’s was classified according to color, resulting in the given data.

| |Brown |Yellow |Orange |Green |Tan |

|Frequency |45 |13 |17 |7 |18 |

Determine the value of the test statistic for the above data.

A) 2.45

B) 6.78

C) 10.83

D) 13.98

11. An experiment is conducted to compare the starting salaries of male and female college graduates who find jobs. Pairs are formed by choosing a male and a female with the same-major and similar grade point averages. Suppose a random sample of ten pairs is formed in this manner and the starting salary of each person is conducted.

|Pair |Male |Female |

|1 |$34,300 |$33,800 |

|2 |36,500 |36,600 |

|3 |35,400 |34,800 |

|4 |33,500 |33,500 |

|5 |38,500 |37,600 |

|6 |32,800 |33,000 |

|7 |34,500 |34,200 |

|8 |36,200 |35,100 |

|9 |33,400 |33,200 |

|10 |34,200 |33,500 |

What statistical procedure should be used to see if there is any mean difference in the salaries for males and females?

A) Chi-Square Goodness-of-Fit test

B) Pooled-t Test

C) Chi-Square Test of Independence

D) Paired-t Test

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