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. Diet Regular mu mu 1 mu 2 n 26 26 x overbar 0.79093 lb 0.81234 lb s 0.00433 lb 0.00753 lb 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? A. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 greater thanmu 2 B. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 less thanmu 2 C. Upper H 0 : mu 1 not equalsmu 2 Upper H 1 : mu 1 less thanmu 2 D. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 not equalsmu 2 The test statistic, t, is enter your response here . (Round to two decimal places as needed.) The P-value is enter your response here . (Round to three decimal places as needed.) State the conclusion for the test. 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. B. 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. C. 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. D. 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). enter your response here lbless than mu 1 minus mu 2less thanenter your response here lb (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? ▼ Yes, No, because the confidence interval contains ▼ only negative values. only positive values. zero.

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. Diet Regular mu mu 1 mu 2 n 26 26 x overbar 0.79093 lb 0.81234 lb s 0.00433 lb 0.00753 lb 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? A. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 greater thanmu 2 B. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 less thanmu 2 C. Upper H 0 : mu 1 not equalsmu 2 Upper H 1 : mu 1 less thanmu 2 D. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 not equalsmu 2 The test statistic, t, is enter your response here . (Round to two decimal places as needed.) The P-value is enter your response here . (Round to three decimal places as needed.) State the conclusion for the test. 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. B. 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. C. 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. D. 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). enter your response here lbless than mu 1 minus mu 2less thanenter your response here lb (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? ▼ Yes, No, because the confidence interval contains ▼ only negative values. only positive values. zero.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

0.05

mu
significance level for both parts.			Diet	Regular

mu 1

mu 2

n	26

x overbar

0.79093

0.81234

lb
s	0.00433

0.00753

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?

Upper H 0

mu 1

equalsmu 2

Upper H 1

mu 1

greater thanmu 2

Upper H 0

mu 1

equalsmu 2

Upper H 1

mu 1

less thanmu 2

Upper H 0

mu 1

not equalsmu 2

Upper H 1

mu 1

less thanmu 2

Upper H 0

mu 1

equalsmu 2

Upper H 1

mu 1

not equalsmu 2

The test statistic, t, is

enter your response here

(Round to two decimal places as needed.)

The P-value is

enter your response here

(Round to three decimal places as needed.)

State the conclusion for the test.

Reject

the null hypothesis. There

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.

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.

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.

Fail to reject

the null hypothesis. There

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).

enter your response here

lbless than

mu 1 minus mu 2less thanenter your response here

(Round to three decimal places as needed.)

Does the confidence interval support the conclusion found with the hypothesis test?

▼

Yes,

No,

because the confidence interval contains

▼

only negative values.

only positive values.

zero.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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