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Chapter 7: Q. 28 (page 439)

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.

Short Answer

Expert verified

a. 8 orange candies: Surprising

b. 5 orange candies: Not surprising

Step by step solution

01

Given Information (Part a)

Large candy machine has =15%orange candies

Sample candies=25

Machine contained 8 orange candies(32%)

5 orange candies(20%)=?


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Most popular questions from this chapter

Suppose that you are a student aide in the library and agree to be paid according to the 鈥渞andom pay鈥� system. Each week, the librarian flips a coin. If the coin comes up heads, your pay for the week is \(80. If it comes up tails, your pay for the week is \)40. You work for the library for 100 weeks. Suppose we choose an SRS of 2 weeks and calculate your average earnings x. The shape of the sampling distribution of xwill be

(a) Normal.

(b) approximately Normal

(c) right-skewed

(d) left-skewed.

(e) symmetric but not Normal.

Unlisted numbers: A telemarketing firm in Los Angeles uses a device that dials residential telephone numbers in that city at random. Of the first 100numbers dialed, 48%are unlisted. This is not surprising because 52%of all Los Angeles residential phones are unlisted.

Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases.

(b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples.

(c) The sample mean is an unbiased estimator of the true population mean.

(d) The sampling distribution shows how the sample mean will vary in repeated samples.

(e) The sampling distribution shows how the sample was distributed around the sample mean

According to the U.S. census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100adults in a certain section of the county found that65 owned their home. Which one
of the following represents the approximate probability of obtaining a sample of 100adults in which fewer than 65own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?

(a) 10065(0.71)65(0.29)35

(b) 10065(0.29)65(0.71)35
(c) Pz<0.65-0.71(0.71)(0.29)100

(d) Pz<0.65-0.71(0.65)(0.35)100
(e) Pz<0.65-0.71(0.71)(0.29)100

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.
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