The heights of 1000 students are approximately normally distributed with a mean of 174.6 centimeters and a standard deviation of 7.5 centimeters. Suppose 400 random samples of size 25 aredrawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.(a) Determine the mean and standard deviation of the sampling distribution of X.The mean is μ=(Type an integer or a decimal. Do not round.)

Step 1:From given data,population mean is ,μ=174.6 Population standard deviation:σ=7.5 Step 2:Now,…

Answered: The heights of 1000 students are…

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 mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
A uniform distribution has endpoints 4 and 18. What is the 90th percentile, reporting to one decimal place?
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. Click here to view Page 1 of the Standard Normal Table. Click here to view Page 2 of the Standard Normal Table. The lowest score that would qualify a student for an A is (Round up to the nearest integer as needed.)
In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean of the scores is 40 and the standard deviation is 5. Assuming normal frequency distribution, determine the scores of the students within 1 standard deviation.
In a recent study, the distances of certain raptor nests to the nearest marshland were studied. The study found that these distances are normally distributed with mean 4.52 km and standard deviation 0.85 km. Let Y be the distance of a randomly selected nest to the nearest marshland. Complete parts (a) and (b). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Determine P(Y > 5). P(Y > 5) = (Round to four decimal places as needed.)
If a set of observations is normally distributed, what percent of these differ from the mean by (a) more than 2.20? (b) less than 0.32g? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.

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