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 a0.05significance level for both parts. DietRegular μμ1μ2n2626x0.78073lb0.80038lbs0.00447lb0.00745lb Question content area bottomPart 1a. 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.H0:μ1=μ2H1:μ1>μ2 B.H0:μ1=μ2H1:μ1<μ2Your answer is correct. C.H0:μ1≠μ2H1:μ1<μ2 D.H0:μ1=μ2H1:μ1≠μ2Part 2The test statistic, t, isenter your response here.(Round to two decimal places as needed.)

Hypothesis statement are the statement about the population parameter. Each hypothesis test has two…

Answered: Data on the weights (lb) of the…

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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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
μ	μ1	μ2
n	26	26
x	0.78073 lb	0.80038 lb
s	0.00447 lb	0.00745 lb

Question content area bottom

Part 1

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?

H0:

μ1=μ2

H1:

μ1>μ2

H0:

μ1=μ2

H1:

μ1<μ2

Your answer is correct.

H0:

μ1≠μ2

H1:

μ1<μ2

H0:

μ1=μ2

H1:

μ1≠μ2

Part 2

The test statistic, t, is

enter your response here.

(Round to two decimal places as needed.)

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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