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Chapter 7: Q.11 (page 429)

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%脳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%脳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

AP2.22. A health worker is interested in determining if omega-3fish oil can help reduce cholesterol in adults. She obtains permission to examine the health records of200 people in a large medical clinic and classifies them
according to whether or not they take omega-3fish oil. She also obtains their latest cholesterol readings and finds that the mean cholesterol reading for those who are taking omega-3fish oil is 18points lower than the mean for the group not taking omega-3 fish oil.
(a) Is this an observational study or an experiment? Explain.
(b) Do these results provide convincing evidence that taking omega-3 fish oil lowers cholesterol?
(c) Explain the concept of confounding in the context of this study and give one example of a possible confounding variable.

The candy machine Suppose a large candy machine has 15%orange candies. Use Figure 7.13 (page 435) to help answer the following questions.

(a) Would you be surprised if a sample of 25 candies from the machine contained 8 orange candies (that's 32%orange)? How about 5 orange candies ( 20%orange)? Explain.

(b) Which is more surprising: getting a sample of 25 candies in which 32%are orange or getting a sample of 50 candies in which 32% are orange? Explain.

A 10-question multiple-choice exam offers 5choices for each question. Jason just guesses the answers, so he has a probability 1/5of getting any one answer correct. You want to perform a simulation to determine the number of correct answers that Jason gets. One correct way to use a table of random digits to do this is the following:

(a) One digit from the random digit table simulates one answer, with 5=right and all other digits =wrong. Ten digits from the table simulate 10answers. (b) One digit from the random digit table simulates one answer, with 0 or 1 =right and all other digits =wrong. Ten digits from the table simulate 10answers.

(c) One digit from the random digit table simulates one answer, with odd =right and even =wrong. Ten digits from the table simulate 10answers.

(d) Two digits from the random digit table simulate one answer, with 00to 20=right and 21to 99=wrong. Ten pairs of digits from the table simulate 10answers.

(e) Two digits from the random digit table simulate one answer, with 00to 05=right and 06to 99= wrong. Ten pairs of digits from the table simulate 10answers.

Increasing the sample size of an opinion poll will

(a) reduce the bias of the poll result.

(b) reduce the variability of the poll result.

(c) reduce the effect of nonresponse on the poll.

(d) reduce the variability of opinions.

(e) all of the above.

Songs on an iPod David's iPod has about 10000songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225seconds and a standard deviation of60 seconds.

(a) Explain why you cannot safely calculate the probability that the mean play time x炉is more than 4minutes 240seconds for an SRS of 10songs.

(b) Suppose we take an SRS of 36songs instead. Explain how the central limit theorem allows us to find the probability that the mean playtime is more than 240 seconds. Then calculate this probability. Show your work.
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