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. OA Ho: #1 #₂ H₁: Hy #4₂ C. Ho: #1 = P2 H₁: Hy #₂ The test statistic, t, is 0.12. (Round to two decimal places as needed.) The P-value is 0.453. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: #1 #₂ H₁ H2H₂ OD. Ho: #1 #₂ H₁: Hy

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ကြိုး
✓
X
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) H
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.
n
H
OA H₂:₁ = 4²₂
H₁: Hy #1₂
an example Get more help.
Gi Hoi Ky 12
H₁: Hy > H₂
The test statistic, t, is 0.12. (Round to two decimal places as needed.)
The P-value is 0.453. (Round to three decimal places as needed.)
State the conclusion for the test.
#
3
80
F3
Fail to 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.
Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?
Since the
sample mean
for those treated with magnets is greater than the sample mean for those given a sham treatment, it 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.
<H₁-H₂
(Round to three decimal places as needed.)
*
E
D
C
$
4
q
F4
R
F
%
5
V
&
FS
T
G
A
6
B
MacBook Air
F6
Y
H
&
7
N
8
F7
U
C
J
OB. Ho: </₂
H₁: Hy 2H₂
8
OD. Ho: Hy #4₂
H₁: Hy <H₂
M
DII
FB
I
(
9
K
DD
F9
O
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)
O
L
command
4
F10
P
V
2
Clear all
-
:
;
option
F11
{
[
?
+ 11
=
1
x
S
11
Treatment
H₁
12
0.48
0.95
I
Check answer
F12
Sham
H₂
12
0.43
1.16
}
1
delete
Transcribed Image Text:ကြိုး ✓ X 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) H 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. n H OA H₂:₁ = 4²₂ H₁: Hy #1₂ an example Get more help. Gi Hoi Ky 12 H₁: Hy > H₂ The test statistic, t, is 0.12. (Round to two decimal places as needed.) The P-value is 0.453. (Round to three decimal places as needed.) State the conclusion for the test. # 3 80 F3 Fail to 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. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it 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. <H₁-H₂ (Round to three decimal places as needed.) * E D C $ 4 q F4 R F % 5 V & FS T G A 6 B MacBook Air F6 Y H & 7 N 8 F7 U C J OB. Ho: </₂ H₁: Hy 2H₂ 8 OD. Ho: Hy #4₂ H₁: Hy <H₂ M DII FB I ( 9 K DD F9 O < ) O L command 4 F10 P V 2 Clear all - : ; option F11 { [ ? + 11 = 1 x S 11 Treatment H₁ 12 0.48 0.95 I Check answer F12 Sham H₂ 12 0.43 1.16 } 1 delete
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