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The average amount of money that people spend at Don Mcalds fast food place is $7.3200 with a standard deviation of $1.6900. 49 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 7.3200 v 1.6900 / b. What is the distribution of x? ¤ - N( 7.3200 .2414 c. What is the distribution of > x? ) x - N( 358.68 v 11.83 V d. What is the probability that one randomly selected customer will spend less than $7.6079? .5676 e. For the 49 customers, find the probability that their average spent is less than $7.6079. .8835 f. Find the probability that the randomly selected 49 customers will spend more than $372.7871. .1165 g. For part e) and f), is the assumption of normal necessary? YesO No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 49 people who spend the most money. At least how much must a group of 49 spend in total to get the free sundae? $ Enter an integer or decimal number, accurate to at least 4 decimal places [more..]

The average amount of money that people spend at Don Mcalds fast food place is $7.3200 with a standard deviation of $1.6900. 49 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 7.3200 v 1.6900 / b. What is the distribution of x? ¤ - N( 7.3200 .2414 c. What is the distribution of > x? ) x - N( 358.68 v 11.83 V d. What is the probability that one randomly selected customer will spend less than $7.6079? .5676 e. For the 49 customers, find the probability that their average spent is less than $7.6079. .8835 f. Find the probability that the randomly selected 49 customers will spend more than $372.7871. .1165 g. For part e) and f), is the assumption of normal necessary? YesO No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 49 people who spend the most money. At least how much must a group of 49 spend in total to get the free sundae? $ Enter an integer or decimal number, accurate to at least 4 decimal places [more..]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The average amount of money that people spend at Don Mcalds fast food place is $7.3200 with a standard deviation of $1.6900. 49 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 7.3200 v 1.6900 / b. What is the distribution of x? ¤ - N( 7.3200 .2414 c. What is the distribution of > x? ) x - N( 358.68 v 11.83 V d. What is the probability that one randomly selected customer will spend less than $7.6079? .5676 e. For the 49 customers, find the probability that their average spent is less than $7.6079. .8835 f. Find the probability that the randomly selected 49 customers will spend more than $372.7871. .1165 g. For part e) and f), is the assumption of normal necessary? YesO No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 49 people who spend the most money. At least how much must a group of 49 spend in total to get the free sundae? $ Enter an integer or decimal number, accurate to at least 4 decimal places [more..]
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.3200 with a standard deviation of $1.6900. 49 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 7.3200 v 1.6900 / b. What is the distribution of x? ¤ - N( 7.3200 .2414 c. What is the distribution of > x? ) x - N( 358.68 v 11.83 V d. What is the probability that one randomly selected customer will spend less than $7.6079? .5676 e. For the 49 customers, find the probability that their average spent is less than $7.6079. .8835 f. Find the probability that the randomly selected 49 customers will spend more than $372.7871. .1165 g. For part e) and f), is the assumption of normal necessary? YesO No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 49 people who spend the most money. At least how much must a group of 49 spend in total to get the free sundae? $ Enter an integer or decimal number, accurate to at least 4 decimal places [more..]
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