A sample of 47 Charleston County households have a mean income of $32,346 with a standard deviation of $8,571. Find a 90% confidence interval for the true population mean income for households in Charleston County. Round your answers to the nearest dollar.
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- Please answer B, C, & D.In a recent study, the serum cholesterol levels in men were found to be normally distributed with a mean of 196.7 and a standard deviation of 39.1. Units are in mg/dL. Men who have a cholesterol level that is in the top 2% need regular monitoring by a physician. What is the minimum cholesterol level required to receive the regular monitoring? Round answer to the nearest whole number.In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 19 with a standard deviation of 18 days. Assume the data to be approximately bell-shaped. Approximately 95% of all customer accounts have the average number of days between two values A and B. What is the value of B? Write only a number as your answer.
- Cherise is interested in how her friends compare to the population for number of hours of television watched during a single week. She collects the data from 9 of her friends. The average for her friends is 28 hours, with a standard deviation of 9. She knows that the population mean is 34. What is the t statistic?The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…The average McDonald's restaurant generates $3 million in sales each year with a standard deviation of 0.4. Russell wants to know if the average sales generated by McDonald's restaurants in Nebraska is different than the worldwide average. He surveys 26 restaurants in Nebraska and finds the following data (in millions of dollars):3.3, 3.2, 3.5, 3.3, 3.3, 3.4, 2.8, 3.5, 3.4, 2.5, 2.5, 3.6, 2.9, 2.9, 2.9, 3.5, 3.4, 2.7, 2.2, 2.5, 3.5, 3.6, 3.5, 3.7, 3.6, 2.8Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0:(p or u)(<,> #)? Ha: p or u)(<,> #)? (So we will be performing a left or right or 2 tail test.)?Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are normal distributed or t distributed ? with distribution mean ? and distribution…
- Janet is planning to rent a booth at a festival for a day to sell clothes that she has made. She sells jackets for $204 and skirts for $165. Her past experiences suggests that sales of jackets will have a mean of 7.6 with a standard deviation of 1.9, and sales of skirts will have a mean of 11.3 with a standard deviation of 2.7. The cost of renting the booth for the day is $232. What are the mean and standard deviation of her net income? [Hint: you should first define random variables and use them to express her net income] O A. u= $3182.9, o = $3414.9 O B. µ= $3414.9, o = $590.51 O C. u= $3182.9, o = $590.51 Q D. p= $3182.9, o = $44.04 O E. p= $3414.9, o = $44.04Salaries for teachers in a particular elementary school district are normally distributed with a mean of $47,000 and a standard deviation of $4,600. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)a. Find the 90th percentile for an individual teacher's salary b. Find the 90th percentile for the average teacher's salary.In the 2014 MLB season the Los Angeles Dodgers won 94 games and lost 68 to finish in first place in the National League Western Division. Over the 162 games of the regular season they scored an average of 4.43 runs per game, with a standard deviation of 2.88 runs per game. The distribution of their 162 run PERFORMANCES is roughly symmetric, unimodal, and bell-shaped. Stadium. Photo credit losangeles.dodgers.mlb.com bell chanedeurve and labelina t OOK TIKe by u ond mo mean (b) am Would score fowerL yumes would you exXpe (d) In what number of the games would you expect the Dodgers to score between 5.5 and 7.31 runs?
- The 2011 gross sales of all firms in a large city have a mean of $2.4 million and a standard deviation of $ 0.6 million. Using Chebyshev's theorem, find at least what percentage of firms in this city had 2011 gross sales of $1.2 to $3.6 million. Round your answer to the nearest whole number. Enter your answer in accordance to the question statement %According to a health foundation survey from 2018 and 2016, the average annual premiums for employer-sponsored health insurance for family coverage was $16,834 in 2018 and $15,745 in 2016. Suppose the survey for 2018, was based on 250 employees who had employer-sponsored health insurance and the survey for 2016 was based on 200 employees who had employer-sponsored health insurance. Assume the population standard deviation for 2018 and 2016 were $2160 and $1990; respectively. Find a 97% confidence interval for the mean difference. (Round your answer to 1 decimal place.)Lower limit = Upper limit =The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…