Answered: Treatment Sham 21 0.51 21 0.39 1.44…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 37E: Find the positive geometric mean between 4 and 64.

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Question

Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment group and the sham group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random sample selected from a normally distributed populations and do not assume that the population standard deviation's are equal.

what is the test statistic?

what is the p value?

Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.

Lreatment Sham
H2
21
0.51
0.52
21
0.39
1.44

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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