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 (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.050.05 significance level for both parts. Treatment Sham muμ mu 1μ1 mu 2μ2 n 1616 1616 x overbarx 0.490.49 0.420.42 s 0.980.98 1.261.26 a. Test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? A. Upper H 0H0: mu 1μ1less thanmu 2μ2 D. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) State the conclusion for the test. ▼ Reject Fail to reject the null hypothesis. There ▼ is 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. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the ▼ sample standard deviation sample mean for those treated with magnets is ▼ greater than equal to less than the sample mean for those given a sham treatment, it ▼ is not is valid to argue that magnets might appear to be effective if the sample sizes are larger. b. 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. nothingless than

Answer #1

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Researchers conducted a study to determine whether magnets are
effective in treating back pain. The results are shown in the table
for the treatment (with magnets) group and the sham (or placebo)
group. The results are a measure of reduction in back pain. Assume
that the two samples are independent simple random samples selected
from normally distributed populations, and do not assume that the
population standard deviations are equal. Complete parts (a) and
(b) below.
treatment
sham
m
m1
m2...

Researchers conducted a study to determine whether
magnets are effective in treating back pain. The results are shown
in the table for the treatment (with magnets) group and the sham
(or placebo) group. The results are a measure of reduction in back
pain. Assume that the two samples are independent simple random
samples selected from normally distributed populations, and do not
assume that the population standard deviations are equal. Complete
parts (a) and(b) below. Use a 0.05significance level for both...

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 0.42 1.38
Magnet...

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 0.42 1.38 Magnet 20 0.48 0.93 What...

In a study designed to test the effectiveness of magnets for
treating back pain, 40 patients were given a treatment with
magnets and also a sham treatment without magnets. Pain was
measured using a scale from 0 (no pain) to 100 (extreme pain).
After given the magnet treatments, the 40 patients had pain scores
with a mean of 6.0 and a standard deviation of 2.6. After being
given the sham treatments, the 40 patients had pain scores with a
mean...

In a study designed to test the effectiveness of magnets for
treating back? pain, 35 patients were given a treatment with
magnets and also a sham treatment without magnets. Pain was
measured using a scale from 0? (no pain) to 100? (extreme pain).
After given the magnet? treatments, the 35 patients had pain scores
with a mean of 6.0 and a standard deviation of 2.4. After being
given the sham? treatments, the 35 patients had pain scores with a
mean...

A study was done on skull sizes of humans during different time
periods. The results are shown in the table. Assume that the two
samples are independent simple random samples selected from
normally distributed populations, and do not assume that the
population standard deviations are equal. Complete parts (a) and
(b) below.
4000 B.C.
A.D. 150
muμ
mu 1μ1
mu 2μ2
n
3030
3030
x overbarx
132.01132.01
mm
135.49135.49
mm
s
5.035.03
mm
5.275.27
mm
a. Use a
0.010.01
significance...

A group says that the mean daily lodging cost for a family
traveling in Region 1 is the same as in Region 2. The mean daily
lodging cost for
3939
families traveling in Region 1 is
$141141
with a population standard deviation of
$2424.
The mean daily lodging cost for
3939
families traveling in Region 2 is
$135135
with a population standard deviation of
$2525.
At
alpha equals 0.10 commaα=0.10,
is there enough evidence to reject the group's claim? Complete...

Listed in the data table are amounts of strontium-90 (in
millibecquerels, or mBq, per gram of calcium) in a simple random
sample of baby teeth obtained from residents in two cities. Assume
that the two samples are independent simple random samples selected
from normally distributed populations. Do not assume that the
population standard deviations are equal. Use a
0.050.05
significance level to test the claim that the mean amount of
strontium-90 from city #1 residents is greater than the mean...

A medical researcher wants to determine whether there is a
difference in the mean length of time it takes three types of pain
relievers to provide relief from headache pain. Several headache
sufferers are randomly selected and given one of three medications.
Each headache sufferer records the time (in minutes) it takes the
medication to begin working. The results are given below. At
alphaα
= 0.01, can you conclude that the mean times are
different?
Medication 1
Medication 2
Medication...

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