6. The distribution of exam scores in a population is normal with a mean of 81 points and a standarddeviation of 2.2. Under what conditions would a sampling distribution of means approximate theshape of a normal distribution?a. The sampling distribution will always approximate the shape of the normal distribution.b. The sampling distribution will never approximate the shape of the normal distribution.c. When n= 100 or moreored. When n= 30 or morelin statictiee hacause thav

We have given that Population mean μ =81 Population standard deviation =2.2

Answered: 6. The distribution of exam scores in a…

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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4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
1. According to a website the mean number of apps on a smartphone in the United States is 90. Assume the number of apps is normally distributed with a mean 90 and standard deviation 25. On the axis above, do parts A-F. A. Sketch a normal curve. (3 pt) B. Label the axis with correct letter (z, x or x) to represent a normal distribution. (3pts) C. Label the axis with the mean value (given in the problem). (2pts) D. Label the axis with the other 6 values (the values that represent 1,2, and 3 standard deviations away from the mean). (6pts) E. Mark the value of 85 on the axis and write 85 under the axis. (2pts) F. Shade the area under the curve that corresponds to "less than 85". (2pts) G. Find the probability that a randomly selected smartphone will have less than 85 apps on it. Round to 4 decimal places. Show your work or what you enter into a calculator. (8 pts)
Which of the following best describes the form of the sampling distribution of the sample proportion? A. When standardized, it is exactly the standard normal distribution. 8. B. When standardized, it is the t distribution. C. It is approximately normal as long as n 2 30. D. it is approximately normal as long as np 2 5 and n(1- p) > 5. Scanned with CamScanner
3. Normal Distribution and Z - Scores Assume a normal distribution for a population of scores for a standardized exam. The average exam score is 70, and the standard deviation is 5. Jeff's exam score is 63. a) What percentage of the population has an exam score greater than Jeff's? b) What percentage of the population has an exam score greater than Jeff's but less than the score of 74? c) If 10,000 people were given the exam, how many of them have an exam score less than Jeff's?
In which cases and how to use the CARTRIDGE, DECIL AND CENTIL CALCULATIONS USED IN STATISTICS. Explain all series with one example
Suppose x has a normal distribution with mean ? = 53 and standard deviation ? = 7.Describe the distribution of x values for sample size n = 4. (Round ?x to two decimal places.) ?x = ?x = Describe the distribution of x values for sample size n = 16. (Round ?x to two decimal places.) ?x = ?x = Describe the distribution of x values for sample size n = 100. (Round ?x to two decimal places.) ?x = ?x =
3. The fill volume of an automated filling machine used for filling cans of carbonated beverage isnormally distributed. Suppose that the mean of the filling operation can be adjusted easily, but thestandard deviation remains at 0.4 fluid ounce.a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if thestandard deviation can be reduced to 0.09 fluid ounce?
Solve the following by concept of normal distribution and graph clearly. Show your complete solution and write clearly and readable. Thank you. In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. A.) draw a normal curve distribution showing the z scores and raw scores. B.) Find the age such that 75% are below it. (Normal curve in letter A is the normal curve for letter B).
A random sample of n = 78 measurements is drawn from a binomial population with probability of success 0.2. Complete parts a through d below. a. Give the mean and standard deviation of the sampling distribution of the sample proportion, p. The mean of the sampling distribution of p is The standard deviation of the sampling distribution of p is (Round to four decimal places as needed.) b. Describe the shape of the sampling distribution of p. OA. The shape of the sampling distribution of p is approximately normal because the sample size is large. OB. The shape of the sampling distribution of p is approximately uniform because the sample size is large. OC. The shape of the sampling distribution of p is approximately normal because the sample size is small. OD. The shape of the sampling distribution of p is approximately uniform because the sample size is small. c. Calculate the standard normal'z-score corresponding to a value of p = 0.32. The standard normal z-score corresponding to a…
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