DIRECTIONS:Read each problem carefully. Show your complete solution and presentan illustration for each problem.1. The average amount of money that a depositor of the Second National CityBank has in an account in $5000 with a standard deviation of $650. Arandom sample of 36 accounts is taken. What is the probability that theaverage amount of money that these 36 depositors have in their accountsisa. Between $4800 and $5300?b. Less than $ 4650 and Greater than $5250c. Greater than $49002. The Smith Trucking Company claims that the average weight of its deliverytrucks when fully loaded is 6000 pounds with a standard deviation of 120pounds. 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 thesampling distribution of the sample meana. With a sample size of 2b. With sample size of 3 DIRECTIONS:Read each problem carefully. Show your complete solution and presentan illustration for each problem.A group of 500 volunteers recorded an average age of 21.5 years andstandard deviation of 9.6 years. Assumed the distribution is normally1.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 youngerа.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 140pounds and the variance is 100 pounds. Assuming that the weightsare normally distributed, how many students weigh:Between 120 and 145 pounds?More than 150 pounds?a.b.

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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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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.

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