Doing homework Refer to Exercise 9.

(a) Make a graph of the population distribution given that there are 3000 students in the school. (Hint: What type of variable is being measured?)

(b) Sketch a possible graph of the distribution of sample data for the SRS of size 100 taken by the AP Statistics students.

Short Answer

Expert verified

a). The graph of the population distribution is

b). A possible graph of the distribution of sample data is

Step by step solution

01

Part (a) Step 1: Given Information 

There are 3000students in the school.

02

Part (a) Step 2: Explanation 

We also know that 60%of the students did all their assigned homework last week.

60%×3000=1800

Thus we then know that 1800students did all their assigned homework last week, while 1200students did not.

All bars should be the same width and height, and the number of pupils should be the same:

03

Part (b) Step 1: Given Information 

100students are in the sample.

04

Part (b) Step 2: Explanation 

We also know that approximately 60%of the students did all their assigned homework last week.60%×100=60

As a result, we know that around 60pupils completed all of their given homework last week, whereas approximately40 kids did not.

All bars should be the same width and height, and the number of pupils should be the same:

As a result, we know that around 60 pupils completed all of their given homework last week, whereas approximately 40 kids did not.

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Most popular questions from this chapter

For Exercises 1 to 4, identify the population, the parameter, the sample, and the statistic in each setting

Hot turkey Tom is cooking a large turkey breast for a holiday meal. He wants to be sure that the turkey is safe to eat, which requires a minimum internal temperature of 165°F. Tom uses a thermometer to measure the temperature of the turkey meat at four randomly chosen points. The minimum reading in the sample is 170°F

Do you drink cereal milk? What sample size would be required to reduce the standard deviation of the sampling distribution to one-half the value you found in Exercise 35(b)? Justify your answer.

About 75%of young adult Internet users (ages 18 to 29) watch online video. Suppose that a sample survey contacts an SRS of 1000 young adult Internet users and calculates the proportion p^in this sample who watch online video.

4. If the sample size were 9000 rather than 1000 , how would this change the sampling distribution of p^?

Doing homework A school newspaper article claims that 60%of the students at a large high school did all their assigned homework last week. Some skeptical AP Statistics students want to investigate whether this claim is true, so they choose an SRS of 100students from the school to interview. What values of the sample proportion pˆ would be consistent with the claim that the population proportion of students who completed all their homework is p 0.60? To find out, we used Fathom software to simulate choosing 250SRSs of size n=100students from a population in which p=0.60. The figure below is a dotplot of the sample proportion pˆof students who did all their homework.

(a) Is this the sampling distribution of pˆ? Justify your answer.

(b) Describe the distribution. Are there any obvious outliers?

(c) Suppose that 45of the100students in the actual sample say that they did all their homework last week. What would you conclude about the newspaper article’s claim? Explain.

If we take a simple random sample of size n=500from a population of size 5,000,000, the variability of our estimate will be

(a) much less than the variability for a sample of size n=500 from a population of size 50,000,000.

(b) slightly less than the variability for a sample of size n=500from a population of size 50,000,000.

(c) about the same as the variability for a sample of size n=500from a population of size 50,000,000.

(d) slightly greater than the variability for a sample of size n=500from a population of size 50,000,000.

(e) much greater than the variability for a sample of size n=500 from a population of size 50,000,000.

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