A population of values has a normal distribution with μ = 187.7 and o =random sample of size n = 241.= 75.4. You intend to draw aFind the probability that a sample of size n = 241 is randomly selected with a mean between 176 and191.6.P(176<< 191.6) = 0.7795 XEnter your answers as numbers accurate to 4 decimal places.

The question is about central limit theorem.Given :Mean of the population ( ) = 187.7Standard…

Answered: A population of values has a normal…

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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Find the proportion of Normally distributed observations with a z-score above -1.93. Give your answer to four decimal places.
A distribution of values is normal with a mean of 116.2 and a standard deviation of 60.1. Find P43, which is the score separating the bottom 43% from the top 57%. P43 = Enter your answer as a number accurate to 4 decimal places.
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 123. Click to view page 1 of the table Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 123 is (Type an integer or decimal rounded to four decimal places as needed.). THE
Use the information to make a normal distribution using the Empirical Rule, label the mean and three standard deviations from the mean.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1522 and the standard deviation was 311. The test scores of four students selected at random are 1950, 1260, 2190, and 1410. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1950 is. (Round to two decimal places as needed.)
A distribution of values is normal with a mean of 137.5 and a standard deviation of 37.8. Find P57, which is the score separating the bottom 57% from the top 43%. P57= Enter your answer as a number accurate to 4 decimal places.
Assume that adults have IQ scores that are normally distributed with a mean of u =100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 115. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 115 is (Type an integer or decimal rounded to four decimal places as needed.)
The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 15. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).
Find the proportion of Normally distributed observations with a zz-score above -1.94. Give your answer to four decimal places.
Use the sample statistics to test the claim that the mean score on a final exam is more than 78. x¯=81x¯=81 s=10s=10 n=41
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P70, the 70-percentile. This is the temperature reading separating the bottom 70% from the top 30%.P70 = °C(Round answer to three decimal places)
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P50, the 50-percentile. This is the temperature reading separating the bottom 50% from the top 50%. Round to 3 decimal places.

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