**Sampling Distribution of the Sample Mean in Home Prices**The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 16 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape).Options:1. Mean = $115,000, standard deviation = $6,250, and shape = exactly normal2. Mean = $115,000, standard deviation = $2,500, and shape = exactly normal3. Mean = $115,000, standard deviation = $25,000, and shape = exactly normal4. Mean = $115,000, standard deviation = $6,250, and shape = unknown5. Mean = $115,000, standard deviation = $2,500, and shape = approximately normal by the Central Limit Theorem

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Answered: The selling price of new homes 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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1549 and the standard deviation was 318. The test scores of four students selected at random are 1960,1270, 2250, and 1450. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Think of your own example of a data set that would follow a normal distribution and explain why.
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The scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students? 0 1 0 6
The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, mode, and standard deviation. Round to one decimal place as needed. Use technology.20, 22, 26, 27, 29, 32, 33, 33Mean = Median = Mode = Standard Deviation =
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