A simple random sample of 29 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.16 mg. Use a 0.05 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.20 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? O A. Ho: o = 0.20 mg H:0#0.20 mg O B. H,: o>0.20 mg H:o50.20 mg OC. Ho: o= 0.20 mg H:0<0.20 mg O D. Ho: o#0.20 mg H,:o = 0.20 mg b. Find the test statistic. = (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is. (Round to three decimal places as needed.) d. State the conclusion. V Họ. There V sufficient evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.20 mg.
A simple random sample of 29 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.16 mg. Use a 0.05 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.20 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? O A. Ho: o = 0.20 mg H:0#0.20 mg O B. H,: o>0.20 mg H:o50.20 mg OC. Ho: o= 0.20 mg H:0<0.20 mg O D. Ho: o#0.20 mg H,:o = 0.20 mg b. Find the test statistic. = (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is. (Round to three decimal places as needed.) d. State the conclusion. V Họ. There V sufficient evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.20 mg.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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