K 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 0.05 significance level for both parts. My: Hy #₂ OC. Ho: #1 #₂ Hy: Hy #4₂ The test statistic, t, is-16.89 The P-value is 0.000 (Round to three decimal places as needed.) State the conclusion for the test. (Round to two decimal places as needed.) My: Hy 1/₂ D. M₂: 142 H₁: #4 <1/₂ H n X S Diet P₁ 37 0.79185 b 0.00432 b Regular 37 0.81598 b 0.00754

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chis
K
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 0.05 significance level for both
parts.
d
C
7
w
S
H
28
x
My: Hy <H₂
OC. Ho: #₁ #₂
Hy: Hy #4₂
The test statistic, t, is-16.89. (Round to two decimal places as needed.)
The P-value is 0.000. (Round to three decimal places as needed.)
State the conclusion for the test.
View an example Get more help.
10 <1-1₂2 <10
(Round to three decimal places as needed.)
3
E
D
C с
$
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
B. 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. 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.
OD. 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
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
R
5
LE
F
1
II
V
7
6
1 & 19
1
T
G
1 # I'
B
MacBook Air
H
I
■
N
8
√
11
11
M
My: Hy #₂
D. H₂:12
H₂: Hy <H₂
I
½
CHH
1, (A)
€
9
H
More
P
IL
I I
K
L
O 1
command
H
T
n
X
S
-
I
11
{
€
0.79185 lb
0.00432 lb
Clear all
I
option
Diet
Hy
37
?
I
Regular
4/2
**
0.81598 b
0.00754 lb
Check answer
Transcribed Image Text:chis K 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 0.05 significance level for both parts. d C 7 w S H 28 x My: Hy <H₂ OC. Ho: #₁ #₂ Hy: Hy #4₂ The test statistic, t, is-16.89. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. View an example Get more help. 10 <1-1₂2 <10 (Round to three decimal places as needed.) 3 E D C с $ 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 B. 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. 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. OD. 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 b. Construct a confidence interval appropriate for the hypothesis test in part (a). R 5 LE F 1 II V 7 6 1 & 19 1 T G 1 # I' B MacBook Air H I ■ N 8 √ 11 11 M My: Hy #₂ D. H₂:12 H₂: Hy <H₂ I ½ CHH 1, (A) € 9 H More P IL I I K L O 1 command H T n X S - I 11 { € 0.79185 lb 0.00432 lb Clear all I option Diet Hy 37 ? I Regular 4/2 ** 0.81598 b 0.00754 lb Check answer
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