AP Statistics Chapter 10 MC Flashcards

Questions and Answers

Which of the following is the appropriate test of the city planner's hypothesis?

Two proportion t-test

Two-proportion z-test

Matched pairs t-test (correct)

Two-sample z-test

Two sample t-test

Which of the following are the appropriate null and alternative hypotheses for comparing the carbohydrate content of two varieties of peaches?

H0: UE - US > 0; Ha: UE - US = 0

H0: UE - US = 0; Ha: UE - US ≠ 0

H0: x1=x2; Ha: x1 0

H0: U1=U2; Ha: U1≠U2 (correct)

H0: U1=U2; Ha: U1U2

Which of the following is the most appropriate conclusion to draw at the α = 0.05 level?

Fail to reject H0: there is insufficient evidence to conclude that Excellent cures headaches faster than Simple.

Accept Ha: there is insufficient evidence to conclude that Excellent cures headaches faster than Simple.

Fail to reject H0: there is sufficient evidence that Excellent cures headaches faster than Simple.

Accept Ha: there is sufficient evidence that Excellent cures headaches faster than Simple.

Reject H0: there is sufficient evidence that Excellent cures headaches faster than Simple. (correct)

If the company performing this test committed a Type II error, which of the following describes what happened?

The company hasn't concluded that Excellent aspirin works faster than Simple aspirin when it does. Signup and view all the answers

Which of the following is the appropriate type of procedure to compare the damage caused by a virus on treated vs. untreated leaves?

Matched pairs t procedures Signup and view all the answers

Which of the following represents a 95% confidence interval for the difference between the average mass of eggs in small and large nests?

(37.2-35.6) ± 2.009√4.97²/60+6.24²/159 Signup and view all the answers

Which of the following describes a situation in which it is safe to employ t-procedures?

n1=6, n2=6; both samples are approximately normal. Signup and view all the answers

When calculating the test statistic, what expression would Phoebe use to estimate the standard deviation of the sampling distribution of the difference in proportions?

√(0.65)(0.35)/80+(0.75)(0.25)/104 Signup and view all the answers

Phoebe's test statistic is -1.48. Which of the following is the closest to the appropriate P-value for the test?

0.0694 Signup and view all the answers

Study Notes

Traffic Patterns Comparison

A city planner compares traffic at two intersections across 12 randomly selected times.
Hypothesis test examines if the mean difference in car counts is zero.
Appropriate test: Matched pairs t-test (c).

Carbohydrate Content in Peaches

Study compares carbohydrate content in two peach varieties for baby food.
Null hypothesis (H0): Means are equal (U1=U2); Alternative hypothesis (Ha): Means are not equal (U1≠U2) (c).

Aspirin Headache Relief Comparison

Experiment assesses if Excellent Drug Company’s aspirin relieves headaches faster.
Participants split into two groups: Excellent's aspirin vs. Simple Drug company's aspirin.
Conclusion at α = 0.05 level: Insufficient evidence to confirm Excellent cures faster (e).

Type II Error in Aspirin Study

A Type II error occurs if the company concludes no faster relief when Excellent actually does (b).

Tobacco Virus Treatment Study

Investigation of a new treatment to mitigate the damage from the mosaic tobacco virus.
Random selection of 11 plants with split leaf treatment.
Appropriate procedure: Matched pairs t procedures (c).

Confidence Interval for Egg Mass

Research on nest size's impact on egg mass; two random samples selected.
Represents confidence interval: (37.2-35.6) ± 2.009√(4.97²/60 + 6.24²/159) (a).

Safe Use of t-Procedures

Safe to employ t-procedures when sample sizes are n1=6 and n2=6 and both are approximately normal (c).

Bag Lunch Preferences in Students

Study on whether older students prefer bag lunches over cafeteria food.
Sample of sophomores and seniors reveals proportion data for hypothesis testing.
Standard deviation expression for difference in proportions is √(0.65)(0.35)/80 + √(0.75)(0.25)/104 (a).

P-value for Bag Lunch Hypothesis Test

Test statistic for seniors vs. sophomores is -1.48.
Closest P-value calculation: 0.0694 (a).

Description

Test your understanding of key concepts from Chapter 10 in AP Statistics with these flashcards. They cover hypothesis testing, data collection methods, and comparisons between groups. Perfect for review before your exam!