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Workere at a certnin moda drink facfory collected data on the volumon (in ounces) of a aimple random sample of 18 cans of the soda drink. Those volumes have a moan of 12.19 oz and a standard deviation of 0.11 oz, and thay appeer to be from a normaly distributed population. If the workers want the filing procese to work so that almost all cans have volumes between 11.97 oz and 12.69 oz, the range rule of thumb can be used to estimate that the standard deviation shoulia be leas than 0.18 az. Uno the sample data to test the alaim that the population of volumes has a standard deviation loss than 0.18 oz. Use a 0.05 significance level. Complete perts (a) through (d) below. a. Identify the nul and altemative hypothesos. Choose the correct answoer below. OA H:o>0.18 az H:o=0.18 oz O B. Ho: a=0.18 oz H:o0.18 oz OC. H:o=0.18 oz H:o<0.18 az O D. Ho: o 0. 18 oz H:o<0.18 oz b. Compute the tost atatistic. (Round to three decimal places as needed.) c. Find the P-value. value =D Cound to four decimal places as noeded.) State the conclusion. V Ho, because the P-value is the level of significance. There is V evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz.

Workere at a certnin moda drink facfory collected data on the volumon (in ounces) of a aimple random sample of 18 cans of the soda drink. Those volumes have a moan of 12.19 oz and a standard deviation of 0.11 oz, and thay appeer to be from a normaly distributed population. If the workers want the filing procese to work so that almost all cans have volumes between 11.97 oz and 12.69 oz, the range rule of thumb can be used to estimate that the standard deviation shoulia be leas than 0.18 az. Uno the sample data to test the alaim that the population of volumes has a standard deviation loss than 0.18 oz. Use a 0.05 significance level. Complete perts (a) through (d) below. a. Identify the nul and altemative hypothesos. Choose the correct answoer below. OA H:o>0.18 az H:o=0.18 oz O B. Ho: a=0.18 oz H:o0.18 oz OC. H:o=0.18 oz H:o<0.18 az O D. Ho: o 0. 18 oz H:o<0.18 oz b. Compute the tost atatistic. (Round to three decimal places as needed.) c. Find the P-value. value =D Cound to four decimal places as noeded.) State the conclusion. V Ho, because the P-value is the level of significance. There is V evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz.

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
Section10.4: Distributions Of Data
Problem 19PFA
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Workers at a cortain moda drink factory collected data on the volumes (in ouncon) of a aimple random sample of 18 cans of the soda drink. Those volumes have a moan of 12.19 oz and a standard deviation of 0.11 oz, and thoy appeer to be from a nomaly distributod population. If the workers want the filling procens to work so that almost all cans have volumos betwoen 11.97 oz and 12.69 oz, the range rule of thumb can be used to estimete that the standard deviation should be leas than 0.18 az. Uso the sample data to tost the claim that the population of volumes has a standard deviation loss than 0.18 oz. Use a 0.05 significance level. Complete perts (a) through (d) below. a. Identify the null and altormative hypotheses. Choose the corrct answor below. OA. H:o>0.18 az H:o=0.18 oz O B. Ho: a=0.18 oz H:o0.18 oz OC. H:o-0. 18 oz a<0.18 oz O D. Ho: a0.18 oz H:o<0.18 oz b. Compute the tost atatistic. (Round to three decimal places as needed.) c. Find the P-vallue. value = Cound to four decimal places as noeded.) State the conclusion. 7 Ho, because the P-value is the level of significance. There is V evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz.
Transcribed Image Text:Workers at a cortain moda drink factory collected data on the volumes (in ouncon) of a aimple random sample of 18 cans of the soda drink. Those volumes have a moan of 12.19 oz and a standard deviation of 0.11 oz, and thoy appeer to be from a nomaly distributod population. If the workers want the filling procens to work so that almost all cans have volumos betwoen 11.97 oz and 12.69 oz, the range rule of thumb can be used to estimete that the standard deviation should be leas than 0.18 az. Uso the sample data to tost the claim that the population of volumes has a standard deviation loss than 0.18 oz. Use a 0.05 significance level. Complete perts (a) through (d) below. a. Identify the null and altormative hypotheses. Choose the corrct answor below. OA. H:o>0.18 az H:o=0.18 oz O B. Ho: a=0.18 oz H:o0.18 oz OC. H:o-0. 18 oz a<0.18 oz O D. Ho: a0.18 oz H:o<0.18 oz b. Compute the tost atatistic. (Round to three decimal places as needed.) c. Find the P-vallue. value = Cound to four decimal places as noeded.) State the conclusion. 7 Ho, because the P-value is the level of significance. There is V evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz.
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