(a) identify the claim and state H(o)and H(a)(b) find the critical value(s) and identify the rejection region(s),(c) find the standardized test statistic x^2,(d) decide whether to reject or fail to reject the null hypothesis, and(e) interpret the decision in the context of the original claim. Assume the population is normally distributed.use the P-value method to perform the hypothesis test for 26. exercise 26. Reading Assessment Tests A school administrator claims that the standard deviation forgrade 12 students on a reading assessment test is greater than 41 points. A randomsample of 25 grade 12 test scores has a standard deviation of 46 points. At a = 0.01, isthere enough evidence to support the claim? (Adapted from National Center forEducational Statistics) P-Values You can calculate the P-value for a chi-square test using technology. After calculatingthe standardized test statistic, use the cumulative distribution function (CDF) to calculate thearea under the curve. From Example 4, x² = 43.2. Using a TI-84 Plus (choose 8 from theDISTR menu), enter 0 for the lower bound, 43.2 for the upper bound, and 40 for the degrees offreedom, as shown at the left. Because it is a right-tailed test, the P-value is approximately1 – 0.6638 = 0.3362. Because P > α = 0.05, fail to reject Ho.method to perform the hypothesis test for the indicated exercise.وuse the P-valueTI-84 PLUSx2cdf(0,43.2,40)0.6637768667

Step 1:From the given information, a) Claim of the context: standard deviation of the reading…

Answered: 26. Reading Assessment Tests A school…

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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Question

(a) identify the claim and state H(o)and H(a)

(b) find the critical value(s) and identify the rejection region(s),

(d) decide whether to reject or fail to reject the null hypothesis, and

(e) interpret the decision in the context of the original claim. Assume the population is normally distributed.

use the P-value method to perform the hypothesis test for 26. exercise

26. Reading Assessment Tests A school administrator claims that the standard deviation for
grade 12 students on a reading assessment test is greater than 41 points. A random
sample of 25 grade 12 test scores has a standard deviation of 46 points. At a = 0.01, is
there enough evidence to support the claim? (Adapted from National Center for
Educational Statistics)

P-Values You can calculate the P-value for a chi-square test using technology. After calculating
the standardized test statistic, use the cumulative distribution function (CDF) to calculate the
area under the curve. From Example 4, x² = 43.2. Using a TI-84 Plus (choose 8 from the
DISTR menu), enter 0 for the lower bound, 43.2 for the upper bound, and 40 for the degrees of
freedom, as shown at the left. Because it is a right-tailed test, the P-value is approximately
1 – 0.6638 = 0.3362. Because P > α = 0.05, fail to reject Ho.
method to perform the hypothesis test for the indicated exercise.
و
use the P-value
TI-84 PLUS
x2cdf(0,43.2,40)
0.6637768667

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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