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Chapter 7: Q. 2.12 (page 489)

The mean of this distribution (don鈥檛 try to find it) will be

a. very close to the median.

b. greater than the median.

c. less than the median.

d. You can鈥檛 say, because the distribution isn鈥檛 symmetric.

e. You can鈥檛 say, because the distribution isn鈥檛 Normal.

Short Answer

Expert verified

Option C: The mean of this distribution (don鈥檛 try to find it) will be less than the median.

Step by step solution

01

Given information

The following options are

a. very close to the median.

b. greater than the median.

c. less than the median.

d. You can鈥檛 say, because the distribution isn鈥檛 symmetric.

e. You can鈥檛 say, because the distribution isn鈥檛 Normal.

02

Explanation for correct option

Because most dots are on the right side of the dot and there is a tail of fewer dots to the left in the dot plot, the dot plot is skewed to the left. The uncommon values have little impact on the median. The mean would be smaller than the median since there are unusually small values.

As a result, the best solution is (c)

03

Explanation for incorrect option

(a)The mean of this distribution (don鈥檛 try to find it) will not be very close to the median.

(b) The mean of this distribution (don鈥檛 try to find it) will not be greater than the median.

(d)The mean of this distribution (don鈥檛 try to find it) will not be you can鈥檛 say, because the distribution isn鈥檛 symmetric.

(e) The mean of this distribution (don鈥檛 try to find it) will not be you can鈥檛 say, because the distribution isn鈥檛 Normal.

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Most popular questions from this chapter

According to government data, 22% of American children under the age of 6 live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300 children from one state and finds that p鈭�p^=0.29.

a. Find the probability that at least 29% of the sample are from poverty-level households, assuming that 22% of all children under the age of 6 in this state live in poverty-level households.

b. Based on your answer to part (a), is there convincing evidence that the percentage of children under the age of 6 living in households with incomes less than the official poverty level in this state is greater than the national value of 22%? Explain your reasoning.

The candy machine Suppose a large candy machine has 45%orange candies, Use Figures 7.11and7.12(page 434) to help answer the following questions.

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

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

Here are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram.

Which statistic would provide the best estimate of the parameter? Justify your answer

A study of rush-hour traffic in San Francisco counts the number of people in each car entering a freeway at a suburban interchange. Suppose that this count has mean 1.6 and standard deviation 0.75 in the population of all cars that enter at this interchange during rush hour.

a. Without doing any calculations, explain which event is more likely:

  • randomly selecting 1 car entering this interchange during rush hour and finding 2 or more people in the car
  • randomly selecting 35 cars entering this interchange during rush hour and finding an average of 2 or more people in the cars

b. Explain why you cannot use a Normal distribution to calculate the probability of the first event in part (a).

c. Calculate the probability of the second event in part (a).

Increasing the sample size of an opinion poll will reduce the

a. bias of the estimates made from the data collected in the poll.

b. variability of the estimates made from the data collected in the poll.

c. effect of nonresponse on the poll.

d. variability of opinions in the sample.

e. variability of opinions in the population.
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