Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 21 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 wo want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.68 az, 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 stand 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. He: g=0.17 oz H:o<0.17 oz OB. H:0=0.17 oz H:0#0.17 oz OC. Ho: 020.17 oz H:o<0.17 oz OD. H: 0>0.17 oz H:0=0.17 oz b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value Pvalue =O (Round to four decimal places needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 21 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 wo
want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.68 az, 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 stand
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. He: g=0.17 oz
H:o<0.17 oz
OB. H:0=0.17 oz
H:0#0.17 oz
OC. Ho: 020.17 oz
H:o<0.17 oz
OD. H: 0>0.17 oz
H:0=0.17 oz
b. Compute the test statistic.
(Round to three decimal places as needed.)
c. Find the P-value
Pvalue =O
(Round to four decimal places
needed.)
Transcribed Image Text:Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 21 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 wo want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.68 az, 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 stand 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. He: g=0.17 oz H:o<0.17 oz OB. H:0=0.17 oz H:0#0.17 oz OC. Ho: 020.17 oz H:o<0.17 oz OD. H: 0>0.17 oz H:0=0.17 oz b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value Pvalue =O (Round to four decimal places needed.)
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