AP STATS FINAL REVIEW Chapter 10

Your Teacher brings two bags of colored goldfish crackers to class. Bag 1 has 25% red fish, Bag 2 has 35%. Each bag contains more than 1000 crackers. Using a paper cup, your teacher takes a SRS of 50 from bag 1, and a seperate SRS of 40 from bag 2. Let p̂₁ - p̂₂ be the difference in the sample proportions of red crackers. What is the mean the sampling distribution.

• μ_{p̂1 - p̂2} = -0.1

• μ_{p̂1 - p̂2} = 0.1

• μ_{p̂1 - p̂2} = 0.25

• μ_{p̂1 - p̂2} = 0.35

Which of the following do you check before you can use a two sample z test

• Random

• 10% condition

• Normal/ Large Sample

• Large Counts Condition

A candy maker offers Child and Adult bags of jelly beans with different color mixes. The company claims that the Child mix has 30% red beans, and that the adult contains 15% red beans. Assume the candy maker’s claim is true. Suppose we take a random sample of 50 jelly beans from the Child mix and a separate random sample of 100 beans from the adult mix. Let p̂_C and p̂_A be the sample proportions of red jelly beans from the Child and Adult mixes, respectively. Is the shape of p̂_C - p̂_A approximately normal?

• Yes

• No

Your Teacher brings two bags of colored goldfish crackers to class. Bag 1 has 25% red fish, Bag 2 has 35%. Each bag contains more than 1000 crackers. Using a paper cup, your teacher takes a SRS of 50 from bag 1, and a seperate SRS of 40 from bag 2. Let p̂₁ - p̂₁ be the difference in the sample proportions of red crackers. What is the standard deviation of the sampling distribution.

• σ_{p̂1 - p̂2} = 0.1019

• σ_{p̂1 - p̂2} = 0.0971

• σ_{p̂1 - p̂2} = 0.0911

• Can't be determined

A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine whether there’s a difference in the proportions of male and female college students who worked for pay last summer. Take p_M and p_F to be the proportion of males and females who worked for pay last summer. The following hypotheses to be tested are...

• H₀ : p_M - p_F = 0 versus H_a : p_M - p_F ≠ 0

• H₀ : p_M - p_F = 0 versus H_a : p_M - p_F < 0

• H₀ : p_M - p_F = 0 versus H_a : p_M - p_F > 0

• H₀ : p_M - p_F > 0 versus H_a : p_M - p_F = 0

• H₀ : p_M - p_F ≠ 0 versus H_a : p_M - p_F = 0

There are two common methods for measuring the concentration of pollutants in fish tissue. Do the two methods differ on the average? You apply both methods to a random sample of 20 trout and use a...

• One sample z test

• Two sample t test

• Two sample z test

• Paired t test

• None of the above

How’s plague times for you?

• Lonely

• Fine

• Boring

• Isolating

Should you use terms like approximately often, especially with things like mean?

• Yes

• No

The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean 188 milligrams per deciliter (mg/dl) and standard deviation 41 mg/dl. For 14 year old boys, blood cholesterol follows a Normal distribution with mean 170 mg/dl and standard deviation 30 mg/dl. Suppose we select independent SRSs of 25 men 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels x̄_M and x̄_B. Find the mean of sampling distribution x̄_M - x̄_B.

• μ_{x̄M - x̄B} = 0 mg/dl

• μ_{x̄M - x̄B} = -18 mg/dl

• μ_{x̄M - x̄B} = 18 mg/dl

• μ_{x̄M - x̄B} = 16 mg/dl

The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean 188 milligrams per deciliter (mg/dl) and standard deviation 41 mg/dl. For 14 year old boys, blood cholesterol follows a Normal distribution with mean 170 mg/dl and standard deviation 30 mg/dl. Suppose we select independent SRSs of 25 men 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels x̄_M and x̄_B. Find the standard deviation of sampling distribution x̄_M - x̄_B.

• σ_{x̄M - x̄B} = 10.16 mg/dl

• σ_{x̄M - x̄B} = 8.47 mg/dl

• σ_{x̄M - x̄B} = 9.09 mg/dl

• σ_{x̄M - x̄B} = 9.60 mg/dl