Use the normal distribution of SAT critical reading scores for which the mean is 508and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (Round to the nearest whole number as needed.) #2 In a survey of women in a certain country (ages20−29),the mean height was 63.9 inches with a standard deviation of 2.75 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? #3 A population has a mean μ=143and a standard deviation σ=22. Find the mean and standard deviation of the sampling distribution of sample means with sample size n=52. The mean is μx= and the standard deviation is σx= #4 The weights of ice cream cartons are normally distributed with a mean weight of 9ounces and a standard deviation of 0.3 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 9.15 ounces? (b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 9.15 ounces? (Round to four decimal places as needed.)

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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Use the normal distribution of SAT critical reading scores for which the mean is 508and the standard deviation is 115.
Assume the variable x is normally distributed.

(a)	What percent of the SAT verbal scores are less than 550?
(b)	If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525?

(Round to the nearest whole number as needed.)

In a survey of women in a certain country (ages20−29),the mean height was 63.9 inches with a standard deviation of

2.75 inches. Answer the following questions about the specified normal distribution.

(a) What height represents the 95th percentile?

(b) What height represents the first quartile?

A population has a mean μ=143and a standard deviation σ=22.
Find the mean and standard deviation of the sampling distribution of sample means with sample size n=52.

The mean is

μx=

and the standard deviation is

σx=

The weights of ice cream cartons are normally distributed with a mean weight of 9ounces and a standard deviation of 0.3
ounce.

(a) What is the probability that a randomly selected carton has a weight greater than 9.15 ounces?

(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 9.15
ounces?

(Round to four decimal places as needed.)

thanks a lot!

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