Does the kid factor make a difference? If you are talking photography, the answer may be yes! Ages of children in household, years Under 2 None under 21 Percent of U.S. households that buy film 80% 45% Let us say you are a market research person who interviews a random sample of 11 households. (a) Suppose you interview 11 households with children under the age of 2 years. Let r represent the number of such households that buy film. Make a histogram showing the probability distribution of r for r = 0 through r = 11. Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.) ? = households ? = households (b) Suppose that the 11 households are chosen to have no children under 21 years old. Let r represent the number of such households that buy film. Make a histogram showing the probability distribution of r for r = 0 through r = 11. Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.) ? = households ? = households (c) Compare the distributions in parts (a) and (b). You are designing TV ads to sell film. Could you justify featuring ads of parents taking pictures of toddlers? Explain your answer. No. It appears that households with children under 2 are more likely to buy film.No. It appears that households with no children under 21 are more likely to buy film. Yes. It appears that households with no children under 21 are more likely to buy film.Yes. It appears that households with children under 2 are more likely to buy film.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Does the kid factor make a difference? If you are talking photography, the answer may be yes!

Ages of children in household, years	Under 2	None under 21
Percent of U.S. households that buy film	80%	45%

Let us say you are a market research person who interviews a random sample of 11 households.

(a) Suppose you interview 11 households with children under the age of 2 years. Let r represent the number of such households that buy film. Make a histogram showing the probability distribution of r for r = 0 through r = 11.

Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.)

? = households

(b) Suppose that the 11 households are chosen to have no children under 21 years old. Let r represent the number of such households that buy film. Make a histogram showing the probability distribution of r for r = 0 through r = 11.

Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.)

? = households

(c) Compare the distributions in parts (a) and (b). You are designing TV ads to sell film. Could you justify featuring ads of parents taking pictures of toddlers? Explain your answer.

No. It appears that households with children under 2 are more likely to buy film.No. It appears that households with no children under 21 are more likely to buy film. Yes. It appears that households with no children under 21 are more likely to buy film.Yes. It appears that households with children under 2 are more likely to buy film.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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