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1. The average amount of money that a depositor of the Second National City Bank has in an account in $5000 with a standard deviation of $650. A random sample of 36 accounts is taken. What is the probability that the average amount of money that these 36 depositors have in their accounts is a. Between $4800 and $5300? b. Less than $ 4650 and Greater than $5250 c. Greater than $4900

1. The average amount of money that a depositor of the Second National City Bank has in an account in $5000 with a standard deviation of $650. A random sample of 36 accounts is taken. What is the probability that the average amount of money that these 36 depositors have in their accounts is a. Between $4800 and $5300? b. Less than $ 4650 and Greater than $5250 c. Greater than $4900

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 22PFA
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DIRECTIONS: Read each problem carefully. Show your complete solution and present an illustration for each problem. 1. The average amount of money that a depositor of the Second National City Bank has in an account in $5000 with a standard deviation of $650. A random sample of 36 accounts is taken. What is the probability that the average amount of money that these 36 depositors have in their accounts is a. Between $4800 and $5300? b. Less than $ 4650 and Greater than $5250 c. Greater than $4900 2. The Smith Trucking Company claims that the average weight of its delivery trucks when fully loaded is 6000 pounds with a standard deviation of 120 pounds. 36 trucks are selected at random and their weights recorded. Within what limits will the average weights of 90% of the 36 trucks lie? 3. From a finite population consisting of digits 1, 4, 5, and 9, construct the sampling distribution of the sample mean a. With a sample size of 2 b. With sample size of 3
Transcribed Image Text:DIRECTIONS: Read each problem carefully. Show your complete solution and present an illustration for each problem. 1. The average amount of money that a depositor of the Second National City Bank has in an account in $5000 with a standard deviation of $650. A random sample of 36 accounts is taken. What is the probability that the average amount of money that these 36 depositors have in their accounts is a. Between $4800 and $5300? b. Less than $ 4650 and Greater than $5250 c. Greater than $4900 2. The Smith Trucking Company claims that the average weight of its delivery trucks when fully loaded is 6000 pounds with a standard deviation of 120 pounds. 36 trucks are selected at random and their weights recorded. Within what limits will the average weights of 90% of the 36 trucks lie? 3. From a finite population consisting of digits 1, 4, 5, and 9, construct the sampling distribution of the sample mean a. With a sample size of 2 b. With sample size of 3
DIRECTIONS: Read each problem carefully. Show your complete solution and present an illustration for each problem. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is normally 1. distributed. Find the number of volunteers with ages less than 20 years. Find the number of volunteers with ages greater than 22 years. Find the actual age of Roland if 85.31% of the volunteers are younger а. b. c. than him. d. If 2.5% of the volunteers are older than Shirley how old is she? e. Between what ages is the middle 40% of the volunteers? 2. The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100 pounds. Assuming that the weights are normally distributed, how many students weigh: Between 120 and 145 pounds? More than 150 pounds? a. b.
Transcribed Image Text:DIRECTIONS: Read each problem carefully. Show your complete solution and present an illustration for each problem. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is normally 1. distributed. Find the number of volunteers with ages less than 20 years. Find the number of volunteers with ages greater than 22 years. Find the actual age of Roland if 85.31% of the volunteers are younger а. b. c. than him. d. If 2.5% of the volunteers are older than Shirley how old is she? e. Between what ages is the middle 40% of the volunteers? 2. The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100 pounds. Assuming that the weights are normally distributed, how many students weigh: Between 120 and 145 pounds? More than 150 pounds? a. b.
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