Answered: Determine the P-value for this…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Use the following set of data for the next four problems, assume that both populations are normally distributed.

	Population 1	Population 2
n	19	19
x¯	15.2	11.9
s	4.1	3.7

Test whether μ1≠μ2 at the α=0.01 significance level for the sample data. Determine the null and the alternative hypothesis for this test.

Group of answer choices

H0: μ1=μ2 versus H1: μ1>μ2

H0: μ1=μ2 versus H1: μ1≠μ2

H0: μ1≠μ2 versus H1: μ1>μ2

H0: μ1≠μ2 versus H1: μ1=μ2

Determine the P-value for this hypothesis test.

Group of answer choices

0.978

0.013

0.027

0.321

Should the null hypothesis be rejected?

Group of answer choices

Do not reject H0, there is not sufficient evidence to conclude that the two populations have different means.

Reject H0, there is sufficient evidence to conclude that the two populations have different means.

Do not reject H0, there is sufficient evidence to conclude that the two populations have different means.

Reject H0, there is not sufficient evidence to conclude that the two populations have different means.

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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