Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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 0.01 significance level for both parts. M₁: Hy H₂ OC. Ho: 1₁ #12 Hy: Hy
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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 0.01 significance level for both parts. M₁: Hy H₂ OC. Ho: 1₁ #12 Hy: Hy
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Transcribed Image Text:Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized
to the right. 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 0.01 significance level for both
parts.
My: Hy FH₂
OC. Ho: Hy #4₂
H₁: Hy <H₂
The test statistic, t, is (Round to two decimal places as needed.)
The P-value is. (Round to three decimal places as needed.)
State the conclusion for the test.
CD
S
and
x
H
I
7
3
1 1
R
E
OA. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
OB. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
OC. Reject the null hypothesis. There is not su
laim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
OD. Fail to reject the null hypothesis. There is
b. Construct a confidence interval appropriate for
10<44-1₂-16
(Round to three decimal places as needed.)
Does the confidence interval support the conclusi
because the confidence interval contains
D
C
$5
F
96
5
zero.
only negative values.
G
only positive values.
I
T
6
B
MacBook Air
I
H
H₁ H₁ H₂
OD. Ho: ₁ = ₂
H₁: Hy <H₂
N
8
U
H
J
I
M
(
9
K
O
<
F
H
2
O
L
FV0
P
H
command
n
X
S
Diet
H₁
30
0.79861 lb
0.00445 lb
Time Remaining: 01:12:46
P
x
(
+
?
option
I
Regular
H₂
30
0.80936 lb
0.00742 lb
Next
retur
(
Transcribed Image Text:Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized
to the right. 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 0.01 significance level for both
parts.
a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.
What are the null and alternative hypotheses?
OA. Ho: H₁ H₂
H₁: Hy #4₂
OC, Hoi ky tuy
H₁: Hy <H₂
The test statistic, t, is. (Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
W
Z I
7
T
S
x
H
emmand
3
E
290
D
OA. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
OB. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
OC. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
с
I
R
4
F
96
%
5
V
T
G
6
B
MacBook Air
Y
H
&
7
N
OB. Ho: ₁ ₂
H₂: Hy ₂
J
OD. Ho: H₁ H₂
H₁: H₁ H₂
o
8
DI
I
(
9
K
O
1
H
>
O
L
P
H
command
n
X
S
Time Remaining: 01:13:11
V
:
•
Diet
H₁
30
0.79861 lb
0.00445 lb
;
x
{
[
option
?
I
Regular
H₂
30
0.80936 lb
0.00742 lb
Next
delete
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill