A normally distributed population has a mean of 475 and a standard deviation of 80. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 430. b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 518. a. P (x<430) = (Round to four decimal places as needed.) b. P (x2518) = (Round to four decimal places as needed.)

A normally distributed population has a mean of 475 and a standard deviation of 80. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 430. b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 518. a. P (x<430) = (Round to four decimal places as needed.) b. P (x2518) = (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

See similar textbooks

Similar questions

Assume that adults have IQ scores that are normally distributed with a mean of 98.8 and a standard deviation of 15.2. Find the probability that a randomly selected adult has an IQ greater than 122.2. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 122.2 is (Round to four decimal places as needed.)
An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounce Suppose the standard deviation is known to bes = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean m. Based on the 25 recent birth records, the sampling distribution of the sample mean x can be represented by: a. N(119.6, 1.30). b. N(119.6, 6.5). O c. N(m, 1.30). O d. N(m, 6.5).
Assume that adults have IQ scores that are normally distributed with a mean of 104.3 and a standard deviation of 15.6. Find the probability that a randomly selected adult has an 1Q greater than 125.0. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an 1Q greater than 125.0 is (Round to four decimal places as needed.)
A population has a mean of 200 and a standard deviation of 90. Suppose a simple random sample of size 125 is selected and is used to estimate μ. Use z-table. a. What is the probability that the sample mean will be within 18 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within 16 of the population mean (to 4 decimals)?
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of O'C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P79, the 79-percentile. This is the temperature reading separating the bottom 79% from the top 21%. P79
The Body Mass Index (BMI) of 60-year-old men follow a distribution that is approximately Normally distributed with a mean of 30 and a standard deviation of 6. Define the variable X, and state its distribution using the notation
Q.4
Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
Roll the correct die 100 times. Find: a) the average of the dropped points Enter the exact answer. а) M(X)= b) the variance of the amount of dropped points Enter numbers with a dot separator to one decimal place, for example 121.3. b) D(X)= c) the standard deviation of the sum of the dropped out points. Enter numbers with a dot separator to one decimal place, for example 12.3. c) σ (X) =
Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard deviation of 24.1. Find the probability that a randomly selected adult has an IQ greater than 137.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 137.1 is (Round to four decimal places as needed.)
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Upper P 10 ,the 10 th percentile. This is the bone density score separating the bottom 10% from the top 90%. a. The bone density score corresponding to Upper P 10 is (Round to two decimal places as needed.)
Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg. Suppose that the distribution of weights is not normal and n = 40. Find the probability that a random sample of 15 males will have a mean weight that exceeds 75kg. .9998 0.0002 0.2 0.0001 Other: