Let x represent the dollar amount spend on supermarket impulse buying in a 10-minute unplanned shopping interval. The mean of this distribution is µ=$25 and the standard deviation is =$10. If we assume the x distribution is approximately normal:(1) What is the probability that a randomly selected shopper will spend between $18 and $22?(1) Consider a random sample of n = 100 shoppers. What is the probability that is between $18 and $22? (2) State two different ways we know the distribution from part (b) is normally distributed.

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Answered: Let x represent the dollar amount spend…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Let x represent the dollar amount spend on supermarket impulse buying in a 10-minute unplanned shopping interval. The mean of this distribution is µ=$25 and the standard deviation is =$10. If we assume the x distribution is approximately normal:
1. (1) What is the probability that a randomly selected shopper will spend between $18 and $22?
2. (1) Consider a random sample of n = 100 shoppers. What is the probability that is between $18 and $22?

(2) State two different ways we know the distribution from part (b) is normally distributed.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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