### Analyzing Student Counts in Different School Districts#### Objective:A school administrator wants to determine if there is a difference in the number of students per class between the Portland Public School district (group 1) and the Beaverton School district (group 2). It is assumed that the populations are normally distributed with unequal variances.#### Study Details:- **Portland Public School district (Group 1)**: - Sample Size: 28 classes - Mean: 34 students per class - Standard Deviation: 2- **Beaverton School district (Group 2)**: - Sample Size: 26 classes - Mean: 37 students per class - Standard Deviation: 4#### Task:Find a 90% confidence interval for the difference in the means. Use technology to determine the critical value using degrees of freedom (df = 36.1505) and round answers to four decimal places.#### Calculations:\[ \text{Enter the bounds for } \mu_1 - \mu_2 \]\[ \boxed{} < \mu_1 - \mu_2 < \boxed{} \]#### Explanation of Process:This involves calculating the confidence interval for the difference in means when dealing with two independent samples with unequal variances. Using technology to find the t-critical value for the given degrees of freedom (df = 36.1505), and applying the appropriate statistical formulas will yield the required confidence interval.This analysis allows the administrator to make an informed decision regarding the statistical difference between the class sizes in the two school districts.

using excel we find critical value

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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A study was being done at our District to see who takes more units per semester, students at Cypress College or students at number of units they took per semester was 13.1 units with a standard deviation of 2.4 units. They randomly selected a sample of 65 Cypress College students and found that the mean number of units they took per semester was 11.6 units with a standard Fullerton College. To test this, the researchers randomly selected 60 Fullerton College students and found that the mean deviation of 3.7 units. Test the claim that the mean number of units is more for Fullerton College students than Cypress College students at the a=0.05 level of significance. Calculator Function [ Select ] [ Select ] X^2-Test T-Test 2-SampFTest 2-PropZTest ANOVA 2-SampT Test [ Select ] sufficient evidence that the mean number of units is (Select] for Fullerton College students than Cypress College students.
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A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 12 footballs were filled with helium to the recommend pressure and 15 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 267 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 241 yards with a standard deviation of 5 yards. Assume the populations are normal with equal variances. (a). Construct a 99% confidence interval for the mean difference in in yardage for the two types of footballs Lower bound (use 3 decimal places) Upper bound (use 3 decimal places) (b). What can you conclude about the sports writer's idea that helium footballs travel farther, on average? The helium footballs are no different than the other footballs, on average The other footballs travel farther on average than the helium footballs The helium footballs travel farther on average than the…

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