Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.92 oz and 12.64 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.025 significance level. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A.H0: σ≥0.18oz H1: σ<0.18oz B.H0: σ=0.18oz H1: σ≠0.18oz C. H0: σ>0.18 oz H1: σ=0.18oz D.H0: σ=0.18 oz H1: σ<0.18 oz b. Compute the test statistic. χ2= (Round to three decimal places as needed.) c. Find the P-value. P-value= (Round to four decimal places as needed.) d. State the conclusion. _H0, because the P-value isthe level of significance. There is____ evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz

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Description: Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normal

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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Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.92 oz and 12.64 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.025 significance level. Complete parts (a) through (d) below.

a. Identify the null and alternative hypotheses. Choose the correct answer below.

A.H0: σ≥0.18oz

H1: σ<0.18oz

B.H0: σ=0.18oz

H1: σ≠0.18oz

C. H0: σ>0.18 oz

H1: σ=0.18oz

D.H0: σ=0.18 oz

H1: σ<0.18 oz

b. Compute the test statistic.

χ2=

(Round to three decimal places as needed.)

c. Find the P-value.

P-value=

(Round to four decimal places as needed.)

d. State the conclusion.

___________H0, because the P-value is____________the level of significance. There is______________ evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz.

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