AP Statistics Review MCQ

The state of Hawaii is investigating whether there is a significant difference between two school districts in the percentage of high school students who graduate high school from their respective district. From a random sample of 200 high school students in District 1, 197 graduated from high school. Of the 250 randomly selected students from District 2, 238 graduated from high school. Which of the following is the most appropriate way to analyze the results?

• A two-sample t-test for a difference in population proportions.

• A two-sample z-test for a difference in population proportions.

• A two-sample t-test for a population proportions.

• A two-sample z-test for a population proportion proportions.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

Cain and Abel regularly box one another in their arena and dojo. From the data gathered, when fighting in the arena Cain has a 0.9 probability of winning, and when fighting in the dojo, Abel has a probability of 0.9 of losing. With the provided data, what is the probability Cain wins his next 5 boxing matches versus Abel at the arena?

• 0.518

• 0.542

• 0.587

• 0.595

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

CCSS.HSS.MD.A.3

Two sports analysts are scheduled to debate who would win between two teams. One of the sports analysts wants to evaluate the probability that a non-bias population will support his argument based on previous data? When calculating the probability, the sports analyst experiences a Type II error. Which of the following most likely resulted in the sports analysts Type II error?

• The significance level is decreased.

• The significance level is increased.

• The standard error is decreased.

• The standard error is decreased.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Suppose the heights of students in a high school are normally distributed with a mean of 65 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student is taller than 70 inches?

• 0.0013

• 0.0228

• 0.0668

• 0.1587

Tags

CCSS.HSS.ID.A.4

A car dealer has collected data on the time it takes to sell a particular car model. The data is approximately normally distributed, with a mean of 50 days and a standard deviation of 10 days. What percentage of cars of this model is expected to be sold within 30 to 70 days?

• 50%

• 68%

• 95%

• 99.7%

Tags

CCSS.HSS.ID.A.4

The heights of male students at a college are normally distributed, with a mean of 70 inches and a standard deviation of 3 inches. If a random sample of 100 male students is taken, what is the expected number of students whose heights are between 67 and 73 inches?

• 34

• 50

• 68

• 95

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

A company produces light bulbs that have a mean lifespan of 1200 hours and a standard deviation of 200 hours. If the company wants to offer a warranty that covers at least 90% of the light bulbs sold, what should be the minimum number of hours covered by the warranty?

• 900 hours

• 1000 hours

• 1100 hours

• 1200 hours

Tags

CCSS.HSS.ID.A.4

A store has a new promotion where customers can spin a wheel to win a discount on their purchase. The wheel is divided into 10 equal sections, with 4 sections labeled "10% off", 3 sections labeled "20% off", and 3 sections labeled "no discount". If a customer spins the wheel once, what is the probability that they will win a discount of at least 10%?

• 0.4

• 0.5

• 0.6

• 0.7

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

CCSS.HSS.MD.A.3

A car manufacturer wants to know if the fuel efficiency of a new model is better than the fuel efficiency of the old model. The fuel efficiency of the old model has a mean of 28 miles per gallon (mpg) and a standard deviation of 3 mpg. A sample of 50 new model cars is tested, and the sample mean fuel efficiency is found to be 30 mpg. If the level of significance is 0.05, what is the appropriate conclusion?

• Reject the null hypothesis and conclude that the fuel efficiency of the new model is better than the old model.

• Reject the null hypothesis and conclude that the fuel efficiency of the new model is not better than the old model.

• Fail to reject the null hypothesis and conclude that the fuel efficiency of the new model is not better than the old model.

• Fail to reject the null hypothesis and conclude that the fuel efficiency of the new model is better than the old model.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

A school district wants to compare the reading comprehension scores of two different schools. A random sample of 40 students from school A has a mean reading comprehension score of 80 with a standard deviation of 5, and a random sample of 50 students from school B has a mean reading comprehension score of 75 with a standard deviation of 6. Assuming equal variances and a significance level of 0.05, what is the appropriate conclusion?

• Reject the null hypothesis and conclude that the reading comprehension scores of school A are higher than school B.

• Reject the null hypothesis and conclude that the reading comprehension scores of school B are higher than school A.

• Fail to reject the null hypothesis and conclude that there is not enough evidence to conclude that the reading comprehension scores of school A are higher than school B.

• Fail to reject the null hypothesis and conclude that there is not enough evidence to conclude that the reading comprehension scores of school B are higher than school A.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4