4. There are 200 gas stations in the city. An economist takes a random sample of...
A random sample of the price of gasoline from 30 gas stations in a region gives the statistics below. Complete parts a) through c) y-34.29, s-30.23 a) Find a 95% confidence interval for the mean price of regular gasoline in that region. (Round to three decimal places as needed.) b) Find the 90% confidence interval for the mean. (Round to three decimal places as needed.) c) If we had the same statistics from a sample of 60 stations, what would...
1. Xis a normally distributed random variable with a mean of 12 and a standard deviation of 3. Calculate the probability that x equals 19.62. 2. A simple random sample of 8 employees of a corporation provided the following information 25 32 26 54 22 23 Determine the point estimate for the average age of all employees. What is the point estimate for the standard deviation of the population? Determine a point estimate for the proportion of all employees who...
4. (10pts) The average price for a gallon of gas in the United States is $2.60. Assume that the population standard deviation is $0.40. Suppose we take a sample of 100 gas stations. What is the probability that the mean price per gallon of gas from our sample of gas stations is within ±$0.06 of the population mean?PLEASE SHOW ALL WORK
A quality control specialist for a restaurant chain takes a random sample of size 10 to check the amount of soda served in the 16 oz. serving size. The sample mean is 13.20 with a sample standard deviation of 1.51. Assume the underlying population is normally distributed. Find the 95% confidence interval for the true population mean for the amount of soda served.
A quality control specialist for a restaurant chain takes a random sample of size 10 to check the amount of soda served in the 16 oz. serving size. The sample mean is 13.60 with a sample standard deviation of 1.54. Assume the underlying population is normally distributed. Find the 95% confidence interval for the true population mean for the amount of soda served. (Round your answers to two decimal places.)
An automobile club reported that the average price of regular gasoline in a certain state was $2.61 per gallon. The following data show the price per gallon of regular gasoline for 15 randomly selected stations in the state. Complete parts a through c below. 2.64 2.72 2.53 2.65 2.57 2.69 2.62 2.51 2.65 2.63 2.56 2.51 2.66 2.62 2.65 a. Construct a 99% confidence interval to estimate the average price per gallon of gasoline in the state. The 99% confidence...
3. Consider a normally distributed population with a standard deviation of 36. If a random sample of size 49 produces a sample mean of 150, construct an 80% confidence interval for the true mean of the population.
Suppose that a random sample of nineteen recently sold houses in a certain city has a mean sales price of $290,000, with a standard deviation of $13,000. Under the assumption that house prices are normally distributed, find a 90% confidence interval for the mean sales price of all houses in this community. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to the nearest whole number. (If necessary, consult a list...
Suppose that a random sample of fourteen recently sold houses in a certain city has a mean sales price of $275,000, with a standard deviation of $11,000. Under the assumption that house prices are normally distributed, find a 90% confidence interval for the mean sales price of all houses in this community. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to the nearest whole number (If necessary, consult a list...
The city mayor wants to know how long it takes the police in his city to respond to crime. In a random sample of 20 citizens who called the police for service, the mayor’s special adviser on crime found that the average response time was 560 seconds, with a standard deviation of 45 seconds. Construct a confidence interval around your point of estimate and tell the mayor the police response time.