Answered: Reading Program Summer reading programs…

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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Reading Program Summer reading programs are very popular with children. At the Citizens Library, Team Ramona read an average of 23.2 books with a standard deviation of 5.2. There were 21 members on this team. Team Beezus read an average of 26. books with a standard deviation of 4.0. There were 19 members on this team. Did the variances of the two teams differ? Use α=0.01. Use the traditional method of hypothesis testing and let σ1 be the standard deviation for Team Ramona. Assume that all variables are normally distributed.

(a)State the hypotheses and identify the claim.

H0: claim/ do not claim
H1: claim/do not claim

This hypothesis test one tailed/two tailed a (Choose one) test.

(b)Find the critical value. Round the answer to at least two decimal places.

Critical value is

c)Compute the test value. Round the sample standard deviation and

score value to at least two decimal places as needed.

F=, p-value

(d)Make the decision.

Reject/ do not reject (Choose one) the null hypothesis

(e)Summarize the results.

There ▼(Choose one) enough evidence to support the claim .

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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