Answered: Researchers conducted a study to…

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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Part 1

a. Use a

0.05

significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo).

What are the null and alternative hypotheses?

H0:

μ1≠μ2

H1:

μ1<μ2

H0:

μ1<μ2

H1:

μ1≥μ2

H0:

μ1=μ2

H1:

μ1≠μ2

H0:

μ1=μ2

H1:

μ1>μ2

Part 2

The test statistic, t, is

enter your response here.

(Round to two decimal places as needed.)

Part 3

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Part 4

State the conclusion for the test.

▼

Fail to reject

Reject

the null hypothesis. There

▼

is not

sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.

Part 5

b. Construct a confidence interval appropriate for the hypothesis test in part (a).

enter your response here<μ1−μ2<enter your response here

(Round to two decimal places as needed.)

Part 6

c. Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Choose the correct answer below.

It appears that magnets

are

effective in treating back pain, because the confidence interval contains only positive values.

It appears that magnets

are not

effective in treating back pain, because 0

in the confidence interval.

It appears that magnets

are not

effective in treating back pain, because the P-value is

less

than the significance level.

It appears that magnets

are

effective in treating back pain, because the P-value is

greater

than the significance level.

Part 7

Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Choose the correct answer below.

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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