Question

A survey of annual earnings of UCLA students, showed the following data: ?̅ = $34,000, s=$1,400....

A survey of annual earnings of UCLA students, showed the following data: ?̅ = $34,000, s=$1,400. Size of the survey (n) was 50 students.

1) Construct a 98% confidence interval for the mean using the above data.

2) Change the confidence level to 90% and construct a confidence interval.

3) Use the .98 confidence level and increase the “n” to 576 to find the confidence interval

4) What do you notice about the range of the Confidence interval when n is increased

5) If allowable error is ±50, find the minimum sample size at the .95 confidence level

Homework Answers

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
1.A survey of households in a small town showed that in 850 of 1,200 sampled households,...
1.A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeting during the year. Using the 99% level of confidence, what is the confidence interval for the proportion of households represented at a town meeting? 2.A survey of an urban university (population of 25,450) showed that 750 of 1,100 students sampled attended a home football game during the season. Using the 99% level of confidence, what is...
A survey of 158 students is selected randomly on a large university campus. They are asked...
A survey of 158 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 79 of the 158 students responded​ "yes." An approximate 95​% confidence interval is ​(0.422, 0.578​). Complete parts a through d below. ​a) How would the confidence interval change if the confidence level had been 90% instead of 95%? b) How would the confidence interval change if the...
A sample survey of 52 discount brokers showed that the mean price charged for a trade...
A sample survey of 52 discount brokers showed that the mean price charged for a trade of 100 shares at 50 per share was 33.9. The survey is conducted annually. With the historical data available, assume a known population standard deviation of 14. a. Using the sample data, what is the margin of error associated with a 95% confidence interval (to 2 decimals)? b. Develop a 95% confidence interval for the mean price charged by discount brokers for a trade...
A survey of 180 students is selected randomly on a large university campus. They are asked...
A survey of 180 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 90 of the 180 students responded "yes". An approximate 98% confidence interval is (0.413, 0.587). Complete parts a through C. a) How would the confidence interval change if the confidence level has been 95% instead of 98% b) How would confidence interval change if the sample size...
A survey of 200 students is selected randomly on a large university campus They are asked...
A survey of 200 students is selected randomly on a large university campus They are asked if they use a laptop in class to take notes. The result of the survey is that 70 of the 200 students use laptops to take notes in class. What is the value of the sample proportion? What is the standard error of the sampling proportion? Construct an approximate 95% confidence interval for the true proportion by going 2 standard errors from the sampling...
From a preliminary survey of 35 students as to how many times they go to a...
From a preliminary survey of 35 students as to how many times they go to a gym during the week, the standard deviation was found to be 3.6. If you want to construct a 95% confidence interval for the mean number of times per week students visit a gym and have a margin of error within .05, what is the minimum number of additional students that should be surveyed? What would be the degrees of freedom for a sample size...
1)A sample of size  is drawn from a population whose standard deviation is  Find the margin of error...
1)A sample of size  is drawn from a population whose standard deviation is  Find the margin of error for a  confidence interval for μ. 2)A researcher wants to construct a 98% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. What sample size is needed so that the confidence interval will have a margin of error of 0.09? 3)An Internet service provider sampled 540 customers and found that 55 of them experienced an...
A survey of an urban university showed that 850 of 1,000 students sampled supported a fee...
A survey of an urban university showed that 850 of 1,000 students sampled supported a fee increase to fund improvements to the student recreation center. a. What is the point estimate for the proportion of students who supported the fee increase? b. Using the 0.90 level of confidence, construct the confidence interval for the population proportion. c. If university officials say that at least 85% of the voting student population need to support the fee increase (to be applied), what...
A survey of 200 students is selected randomly on a large university campus They are asked...
A survey of 200 students is selected randomly on a large university campus They are asked if they use a laptop in class to take notes. The result of the survey is that 70 of the 200 students use laptops to take notes in class. What is the value of the sample proportion? (0.5 pts) What is the standard error of the sampling proportion? (0.5 pts) Construct an approximate 95% confidence interval for the true proportion by going 2 standard...
A survey conducted five years ago by the health center at a university showed that 18%...
A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke. We want to find if these data provide convincing evidence to suggest that the percentage of students who smoke has changed over the last five years. What are the test statistic...