A school administrator wants to see if there is a difference in the number of students per class for thePortland Public School district (Group 1) compared to the Beaverton School district (Group 2).Let be the average number of students per class for the Portland Public School district.Let ₂ be the average number of students per class for the Beaverton School district. Assume thepopulations are normally distributed.A random sample of 25 Portland classes found a mean of 38 students per class with a standard deviation of3.A random sample of 28 Beaverton classes found a mean of 35 students per class with a standard deviationof 4.a. Find a 95% confidence interval for the difference of the means. Use Excel Two Means Calculatorfound in the Course and round answers to 2 decimal places.<1-1₂<b. Select the correct conclusion based on the above confidence interval.Since the above confidence interval gives only negative values, we have 95% confident thatthe average number of students per class for the Portland Public School district is smallerthan that for the Beaverton School district.O Since the above confidence interval gives only positive values, we have 95% confident thatthe average number of students per class for the Portland Public School district is higher thanthat for the Beaverton School district.Since the above confidence interval contains zero, with 95% confident, it is plausible that theaverage number of students per class for the Portland Public School district is same as thatfor the Beaverton School district.c. Using these data, at significance level of 0.05, if you were testing whether there is a difference inthe average number of students per class for the Portland Public School district compared to theBeaverton School district,then the conclusion would beO different from abovesame as abovebecause we used Select an answer confidence level and significance level.

Given: For Group 1: Sample size, n1=25 Sample mean, x1=38 Sample standard deviation, s1=3 For Group…

Answered: A school administrator wants to see if…

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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The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 92, 91, 94, 83, 73, 100, 72, 74, 74, 77, 87, 100, 70, 76, 99, 84 What can be concluded at the the a = 0.05 level of significance level of significance?
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Provide two synonyms for “the distribution of all possible sample means for samples of a given size.”

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