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. H₁: H₁ H₂ The test statistic, t, is -13.47. (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. 1,208 (Round to three decimal places as needed.) w an example Get more help - 20 A. 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. OB. 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. 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). tv SZA H₁: Hy > H₂ MacBook Air H n X S Diet H1 38 0.78785 lb 0.00431 lb Clear all Regular H₂ 38 0.80683 lb 0.00754 lb 6 Check answer

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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.
C
The test statistic, t, is -13.47. (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.
Hy: Hy #H₂
w an example Get more help -
1,208
shape
X
(Round to three decimal places as needed.)
I
3
N
A. 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.
OB. 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.
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).
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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. C The test statistic, t, is -13.47. (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. Hy: Hy #H₂ w an example Get more help - 1,208 shape X (Round to three decimal places as needed.) I 3 N A. 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. OB. 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. 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). E D SO C $ 20 20 R a Fa F V % 5 FS T G ^ 6 B tv♫ON 7 A MacBook Air F6 Y H & 7 N 44 F7 U H₁: Hy > H₂ J * 8 I M Dil FB ( 9 K F9 дв O < I ) O L command H n F10 S P > - : Diet H₁ 38 0.78785 lb 0.00431 lb Clear all ; I 6 { option [ + = ? 1 1 Check answer am Regular H₂ 38 0.80683 lb 0.00754 lb F12 } 1 delete re
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