Ap Statistics Review Quiz

A company produces light bulbs, and the probability that a bulb is defective is 0.02. What is the probability that in a box of 100 bulbs, at least one bulb is defective?

• A. 0.02

• B. 0.98

• C. 0.04

• 0.9999

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

A teacher gives a 10-question multiple-choice quiz. Each question has four possible answers, and a student randomly guesses the answers to all 10 questions. What is the probability that the student gets at least 8 questions correct?

• A. 0.0034

• B. 0.0193

• C. 0.0439

• D. 0.1094

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

A study measures the heart rates of 20 marathon runners before and after a race. The sample mean heart rate before the race is 70 beats per minute with a standard deviation of 5 beats per minute, and the sample mean heart rate after the race is 180 beats per minute with a standard deviation of 10 beats per minute. Assuming that the heart rate is normally distributed, construct a 95% confidence interval for the true mean difference in heart rate before and after the race.

• A. (100, 120)

• B. (95, 125)

• C. (90, 130)

• D. (85, 135)

Tags

CCSS.HSS.IC.B.4

A researcher wants to know if there is a relationship between a person's income and their level of education. Which statistical test would be appropriate for analyzing the data?

• A. T-test

• B. ANOVA

• C. Chi-square test

• D. Regression analysis

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

A study measures the heights of 100 men and finds that the mean height is 70 inches with a standard deviation of 3 inches. If the heights are normally distributed, what percentage of men are between 67 and 73 inches tall?

• A. 68%

• B. 95%

• C. 99.7%

• D. 100%

Tags

CCSS.HSS.ID.A.4

A study measures the blood pressure of 50 patients before and after they start taking a new medication. The data are paired and have equal variances. The null hypothesis is that there is no difference in blood pressure before and after the medication, and the alternative hypothesis is that there is a difference. The t-statistic is calculated to be 3.42. What is the p-value?

• A. 0.0036

• B. 0.0012

• C. 0.0024

• D. 0.0008

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

A car dealership claims that the average gas mileage for a new hybrid car is at least 50 miles per gallon. A sample of 30 new hybrid cars is selected and their gas mileage is measured. The sample mean is 49.2 miles per gallon with a standard deviation of 3.8 miles per gallon. Assuming that the gas mileage is normally distributed, is there sufficient evidence to support the dealership's claim at the 5% significance level?

• A. Yes, reject the null hypothesis

• B. No, fail to reject the null hypothesis

Tags

CCSS.HSS.IC.B.4

A statistics student wants to estimate the mean GPA of all college students in the United States. She takes a random sample of 100 students and finds that the sample mean GPA is 3.2 with a sample standard deviation of 0.4. What is a 95% confidence interval for the true mean GPA of all college students in the United States?

• A. (3.05, 3.35)

• B. (3.15, 3.25)

• C. (3.10, 3.30)

• D. (3.20, 3.40)

Tags

CCSS.HSS.IC.B.4

A study measures the IQ scores of 20 identical twins and 20 fraternal twins. The mean IQ score for the identical twins is 115 with a standard deviation of 10, and the mean IQ score for the fraternal twins is 110 with a standard deviation of 12. Is there sufficient evidence to support the claim that identical twins have a higher mean IQ score than fraternal twins at the 1% significance level?

• A. Yes, reject the null hypothesis

• B. No, fail to reject the null hypothesis

Tags

CCSS.HSS.IC.B.4

A study measures the time it takes for 100 people to solve a puzzle. The mean time is 10 minutes with a standard deviation of 2 minutes. If the times are normally distributed, what percentage of people take more than 14 minutes to solve the puzzle?

• A. 2.28%

• B. 6.68%

• C. 15.87%

• D. 21.46%

Tags

CCSS.HSS.ID.A.4