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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 0.12 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 11.94 oz and 12.62 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.17 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. OA. Ho: 20.17 oz O B. Ho: o>0.17 oz H₁: o<0.17 oz H₁: o=0.17 oz OC. Ho: o=0.17 oz H₁: o #0.17 oz O D. Ho: o=0.17 oz H₁: o<0.17 oz b. Compute the test statistic. x² = (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. Ho, because the P-value is can volumes is less than 0.17 oz. evidence to conclude that the population standard deviation of the level of significance. There is

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 0.12 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 11.94 oz and 12.62 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.17 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. OA. Ho: 20.17 oz O B. Ho: o>0.17 oz H₁: o<0.17 oz H₁: o=0.17 oz OC. Ho: o=0.17 oz H₁: o #0.17 oz O D. Ho: o=0.17 oz H₁: o<0.17 oz b. Compute the test statistic. x² = (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. Ho, because the P-value is can volumes is less than 0.17 oz. evidence to conclude that the population standard deviation of the level of significance. There is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 0.12 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 11.94 oz and 12.62 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.17 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. O A. Ho: o≥0.17 oz O B. Ho: o> 0.17 oz H₁: 0 <0.17 oz H₁: o = 0.17 oz OC. Ho: o 0.17 oz D. Ho: o=0.17 oz H₁: o <0.17 oz H₁: o 0.17 oz b. Compute the test statistic. x² = (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. Ho, because the P-value is evidence to conclude that the population standard deviation of can volumes is less than 0.17 oz. the level of significance. There is
Transcribed Image Text: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 0.12 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 11.94 oz and 12.62 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.17 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. O A. Ho: o≥0.17 oz O B. Ho: o> 0.17 oz H₁: 0 <0.17 oz H₁: o = 0.17 oz OC. Ho: o 0.17 oz D. Ho: o=0.17 oz H₁: o <0.17 oz H₁: o 0.17 oz b. Compute the test statistic. x² = (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. Ho, because the P-value is evidence to conclude that the population standard deviation of can volumes is less than 0.17 oz. the level of significance. There is
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