A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a0.05significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. nxsSham200.431.37Magnet200.470.94 Question content area bottomPart 1What are the null and alternative hypotheses? A.H0:σ21=σ22H1:σ21>σ22Your answer is correct. B.H0:σ21=σ22H1:σ21<σ22 C.H0:σ21=σ22H1:σ21≠σ22 D.H0:σ21≠σ22H1:σ21=σ22Part 2Identify the test statistic. F=enter your response here(Round to two decimal places as needed.) Use technology to identify the P-value. What is the conclusion for this hypothesis test?

From given data we have :n1=20 n2=20x¯1=0.43 x¯2=0.47s1=1.37 s2=0.94

Answered: A study was conducted to determine…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.			n	x	s
Sham	20	0.43	1.37
Magnet	20	0.47	0.94

Question content area bottom

Part 1

What are the null and alternative hypotheses?

H0:

σ21=σ22

H1:

σ21>σ22

Your answer is correct.

H0:

σ21=σ22

H1:

σ21<σ22

H0:

σ21=σ22

H1:

σ21≠σ22

H0:

σ21≠σ22

H1:

σ21=σ22

Part 2

Identify the test statistic.

F=enter your response here

(Round to two decimal places as needed.)

Use technology to identify the P-value.

What is the conclusion for this hypothesis test?

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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