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Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 7 - Problem 13
Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 7 - Problem 13

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# ?America Reads According to a Gallup poll, 46% of Americans 18 years old or older stated that they had read at least six books (fiction and nonfiction)

ISBN: 9780134133539 240

## Solution for problem 13 Chapter 7

Statistics: Informed Decisions Using Data | 5th Edition

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Problem 13

America Reads According to a Gallup poll, 46% of Americans 18 years old or older stated that they had read at least six books (fiction and nonfiction) within the past year. You conduct a random sample of 250 Americans 18 years old or older.

(a) Verify that the conditions for using the normal distribution to approximate the binomial distribution are met.

(b) Approximate the probability that exactly 125 read at least six books within the past year. Interpret this result.

(c) Approximate the probability that fewer than 120 read at least six books within the past year. Interpret this result.

(d) Approximate the probability that at least 140 read at least six books within the past year. Interpret this result.

(e) Approximate the probability that between 100 and 120, inclusive, read at least six books within the past year. Interpret this result.

Step-by-Step Solution:

Step 1 of 5) America Reads According to a Gallup poll, 46% of Americans 18 years old or older stated that they had read at least six books (fiction and nonfiction) within the past year. You conduct a random sample of 250 Americans 18 years old or older. (a) Verify that the conditions for using the normal distribution to approximate the binomial distribution are met. (b) Approximate the probability that exactly 125 read at least six books within the past year. Interpret this result. (c) Approximate the probability that fewer than 120 read at least six books within the past year. Interpret this result. (d) Approximate the probability that at least 140 read at least six books within the past year. Interpret this result. (e) Approximate the probability that between 100 and 120, inclusive, read at least six books within the past year. Interpret this result. ng under Pearson. Pearson died on April 27, 1936. Compare the signs of the entries in Columns 3 and 4 in Table 3. Notice that negative values in Column 3 correspond with positive values in Column 4 and that positive values in Column 3 correspond with negative values in Column 4 (except for the third observation). Look back at the scatter diagram in Figure 6 where the mean of x and the mean of y is drawn. Notice that below-average values of x are associated with above-average values of y, and above-average values of x are associated with below-average values of y. This is why the linear correlation coefficient is negative.

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