Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.   A simple random sample of 2525 filtered 100 mm cigarettes is​ obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.419.4 mg and a standard deviation of 3.143.14 mg. Use a 0.050.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.121.1 ​mg, which is the mean for unfiltered king size cigarettes. What do the results​ suggest, if​ anything, about the effectiveness of the​ filters? What are the​ hypotheses?     A. Upper H 0H0​: muμgreater than>21.121.1 mg Upper H 1H1​: muμless than<21.121.1 mg   B. Upper H 0H0​: muμequals=21.121.1 mg Upper H 1H1​: muμgreater than or equals≥21.121.1 mg   C. Upper H 0H0​: muμless than<21.121.1 mg Upper H 1H1​: muμgreater than or equals≥21.121.1 mg   D. Upper H 0H0​: muμequals=21.121.1 mg Upper H 1H1​: muμless than<21.121.1 mg Your answer is correct. Identify the test statistic.   tequals=nothing ​(Round to three decimal places as​ needed.)   What is the P-Value?

In a random sample of seven cell​ phones, the mean full retail price was ​$402.50 and the standard deviation was ​$228.00. Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a 95​% confidence interval for the population mean μ. Interpret the results.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4 mg and a standard deviation of 3.45 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21:1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters? *** taWhat are the hypotheses? O A. Ho: u=21.1 mg H,: µ21.1 mg H µ<21.1 mg O D. Ho H<21.1 mg H, 221.1 mg Identify the test statistic. wwi t ti Round to three decimal places as needed. Identify the P-value. ১ . (Round to four decimal places as needed.)

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, ​ P-value, and state the final conclusion that addresses the original claim.   A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4 mg and a standard deviation of 3.61 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the​ filters?   a) What are the hypotheses?   b) Identify the P-value.   c) State the final conclusion.    A. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.   B. Fail to reject H0. There is insufficient evidence to support…