Question

An economist wants to estimate the mean per capita income (in thousands of dollars) for a...

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that the mean income is found to be $32.6 for a random sample of 459 people. Assume the population standard deviation is known to be $9.3 . Construct the 80% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.

Homework Answers

Answer #1

80% confidence interval for is

- z * / sqrt(n) < < + z * / sqrt(n)

32.6 - 1.2816 * 9.3 / sqrt(459) < < 32.6 + 1.2816 * 9.3 / sqrt(459)

32.0 < < 33.2

80% CI is ( 32.0 , 33.2 )

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An economist wants to estimate the mean per capital income (in thousands of dollars) for a...
An economist wants to estimate the mean per capital income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $29.3 for a random sample of 5749 people. Assume the population standard deviation is known to be $10.7. Construct the 99% confidence interval for the mean per capital income in thousands of dollars. Round your answers to one decimal place.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $21.3, and the variance is known to be 33.91. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.5? Round your answer up to the next integer.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $21.3, and the variance is known to be $32.49. How large of a sample would be required in order to estimate the mean per capita income at the 99% level of confidence with an error of at most $0.39? Round your answer up to the next integer.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $20, and the variance is known to be $123.21. How large of a sample would be required in order to estimate the mean per capita income at the 99% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $21.9, and the variance is known to be $31.36. How large of a sample would be required in order to estimate the mean per capita income at the 90% level of confidence with an error of at most $0.26? Round your answer up to the next integer.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $31.3$⁢31.3, and the standard deviation is known to be $9.4$⁢9.4. How large of a sample would be required in order to estimate the mean per capita income at the 85%85% level of confidence with an error of at most $0.46$⁢0.46? Round your answer up to the next integer.
Suppose the mean income of firms in the industry for a year is 85 million dollars...
Suppose the mean income of firms in the industry for a year is 85 million dollars with a standard deviation of 15 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 107 million dollars? Round your answer to four decimal places. -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean...
the mean annual income for people in a certain city is 46 (thousands of dollars), with...
the mean annual income for people in a certain city is 46 (thousands of dollars), with a standard deviation of 42. A pollster draws a sample of 60 people to interview. What is the probability that the sample mean income is less than 42 (thousands of dollars)?
In an effort to estimate the mean dollars spent per visit by customers of a food...
In an effort to estimate the mean dollars spent per visit by customers of a food store, the manager has selected a random sample of 100 cash register receipts. The mean of these was $45.67 with a population standard deviation equal to $12.30. The manager wants to develop a 99% confidence interval estimate. a) State the best point estimate to use as an estimate of the true mean b) Find the margin of error that will be reported c) Find...
A publisher wants to estimate the mean length of time​ (in minutes) all adults spend reading...
A publisher wants to estimate the mean length of time​ (in minutes) all adults spend reading newspapers. To determine this​ estimate, the publisher takes a random sample of 15 people and obtains the results below. From past​ studies, the publisher assumes sigmaσ is 2.22.2 minutes and that the population of times is normally distributed. 99 88 99 1111 66 99 99 77 1212 77 1212 66 99 1212 99 Construct the​ 90% and​ 99% confidence intervals for the population mean....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT