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Population Mean Assignment | Professional Writing Services

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January 16th, 2020

-The population of unleaded gasoline prices at U.S. gas stations follows a normal distribution and has a standard deviation of $.14/gal. A recent survey of 64 gas stations across the country revealed that the mean price of unleaded gasoline was $2.94/gal. Construct a 95% confidence interval for the average price of gas per gallon.

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-A tire manufacturer wishes to investigate the tread life of its tires. A sample of 10 tires driven 50,000 miles revealed a sample mean of 0.32 inches of tread remaining with a standard deviation of 0.09 inches. Construct a 95% CI for the population mean. Would it be reasonable to conclude that after 50,000 miles the population

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-The u nion representing the Bottle Blowers of America (BBA) is considering a proposal to merge with the Teamsters Union. According to BBA union bylaws, at least three-fourths of the union membership must approve any merger. A random sample of 2,000 current BBA members reveals 1,600 plan to vote for the merger proposal. What is the estimate of the population proportion? Develop a 95% CI for the population proportion. Basing your decision on this sample information, can you conclude that the necessary proportion of BBA members favor the merger? Why?

-There are 250 families in Scandia, Pennsylvania. A random sample of 40 of these families revealed the mean annual church contribution was $450 and the standard deviation of this was $75. Develop a 90% CI for the population mean. Interpret the confidence interval.

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-A student in public administration wants to determine the mean amount members of city councils in large cities earn per month. The error in estimating the mean is to be less than $100 with a 95% level of confidence. The student found a report by the Department of labor that estimated the standard deviation to be $1,000. What is the required sample size?

-An American Kennel Club wanted to estimate the proportion of children that have a dog as a pet. If the club wanted the estimate to be within 3% of the population proportion, how many children would they need to contact? Assume a 95% level of confidence and that the club estimated that 30% of the children have a dog as a pet. 

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