unch A study was done using a treatment group and a placebo group. 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. Use a 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁: H1 H2 о с. Но: 11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
K
A study was done using a treatment group and a placebo group. 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. Use a 0.05 significance level for both parts.
Statcrunch
W
S
X
a. Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
=
OA. Ho: H1 H2
H₁: H1 H2
C. Hỏ. Hi<H2
H₁: H1²H2
The test statistic, t, is
The P-value is
Tech help
State the conclusion for the test.
*
30
E
D
Fa
C
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
$
%
5
--
MacBook Air
B
FO
2000
OD. Ho: H1
*
B. Ho: H1
H₁ H1
J
H2
H2
H2
H₁: H₁ H2
-a
M
-0
e
command
P
Treatment Placebo
H1
12
28
2.36
0.94
Next
I
37
2.61
0.59
Transcribed Image Text:K A study was done using a treatment group and a placebo group. 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. Use a 0.05 significance level for both parts. Statcrunch W S X a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? = OA. Ho: H1 H2 H₁: H1 H2 C. Hỏ. Hi<H2 H₁: H1²H2 The test statistic, t, is The P-value is Tech help State the conclusion for the test. * 30 E D Fa C (Round to two decimal places as needed.) (Round to three decimal places as needed.) $ % 5 -- MacBook Air B FO 2000 OD. Ho: H1 * B. Ho: H1 H₁ H1 J H2 H2 H2 H₁: H₁ H2 -a M -0 e command P Treatment Placebo H1 12 28 2.36 0.94 Next I 37 2.61 0.59
K
A study was done using a treatment group and a placebo group. 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. Use a 0.05 significance level for both parts.
Statcrunch
W
S
+
H
d
The P-value is. (Round to three decimal places as needed.)
State the conclusion for the test.
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
#1-20
(Round to three decimal places as needed.)
Tech help
E
R
#
с
OA. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OB. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OC. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OD. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
%
MacBook Air
B
PA
***
N
J
J
M
0
F
P
H
command
n
X
Treatment Pl
1
28
2.36
0.94
Next
alt
option
2.
0.5
Transcribed Image Text:K A study was done using a treatment group and a placebo group. 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. Use a 0.05 significance level for both parts. Statcrunch W S + H d The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. #1-20 (Round to three decimal places as needed.) Tech help E R # с OA. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OB. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OC. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OD. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. % MacBook Air B PA *** N J J M 0 F P H command n X Treatment Pl 1 28 2.36 0.94 Next alt option 2. 0.5
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