Effect of sample size on confidence intervals

Assignment Help Basic Statistics
Reference no: EM1395411

The National Assessment of Educational Progress (NAEP) sample of 1077 young women had mean quantitative score =275. Take it as known that the standard deviation of all individual scores is = 60.

1. Suppose that the same result, the mean quantitative score = 275, had come from a sample of 250 women. Give the 95% confidence interval for the population mean in this case.

2. Then suppose that a sample of 4000 women had produced the sample mean 275, and again give the 95% confidence interval for the population mean.

3. What can you say about the effect of sample size on confidence intervals?

Reference no: EM1395411

Questions Cloud

Confidence interval of the true mean : The winning team's score in 13 high school basketball games was recorded. If the sample mean is 54.3 points and the sample standard deviation is 11.0 points, find the 98% confidence interval of the true mean.
Illegal drug to enhance the performance : It is estimated that 2% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 95% accurate. What is the probability that an athlete who tests positive is actually a user?
Estimating the true proportion of home owners : A report states that 46% of home owners have a vegetable garden. How large a sampl.e is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 95% confidence?
Population proportion of mice : In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
Effect of sample size on confidence intervals : What can you say about the effect of sample size on confidence intervals?
Critical value used to test the claim : A survey covering 0 different suburbs in Dallas found the average price of gasoline to be $3.924 per gallon with a population standard deviation of $0.053. What critical value shoiuld be used to test the claim using a = 0.01?
Objective function to minimize the total cost : a. Define variables that would tell how many units to purchase from each source. b. Develop an objective function that would minimize the total cost.
Probability that a respondent chosen at random : Of 260 females, 224 answered yes. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random:
Probability of getting news primarily from newspapers : Given that a respondent is over age 50, what is the probability that he or she gets news primarily from newspapers?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Probability of getting a promotion and raise

Consider that you are a line manager in your current Corporation. There is a 0.50 probability that you will be promoted this year. There is a 0.65 probability that you will get a promotion or a raise. The probability of getting a promotion and a r..

  Probability of cost value

For the mold described in (g), can you find the probability that it's COST value will exceed $150,000? If yes, obtain this probability. If no, why not?

  Determining number of vehicles passing from one point

Determine expectation of number of vehicles passing through this specified point in ten minutes.

  Mean waiting time of all customers

Determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.

  Normal distribution which gives standard deviation also mean

Findout the value of X using normal distribution which gives standard deviation also mean. A math teacher gives two different tests to measure students' aptitude for math.

  Probability that an employee of the company is married

Of the 900 employees, 590 had college degrees, 120 were single, and 80 were single college graduates. Find the probability that an employee of the company is married and has a college degree.

  Confidence interval for the population mean

Take a confidence interval for the difference in the average of renting between the first andthird hotel.

  Random sample of metal parts-hypotheses test

As a test the truck company purchases a random sample of metal parts from Steel-R-Us, and then determines if these parts were delivered on-time. Which hypotheses should they test?

  Probability of getting four hits in a particular game

Joe Mauer of the Minnesota Twins had the highest batting average in the 2009 Major League Baseball season. His average was .461. So assume the probability of getting a hit is .461 for each time he batted. In a particular game, assume he batted fou..

  Computing variance and standard deviation

Compute the variance and standard deviation of the number that will arrive within two days.

  Computing the standard error

Assume that the population is 0.55. Compute the standard error of the sample proportion for the following sample sizes:

  Graphically represent the relationship

A major study examined the relationship between cause of death (heart attack, cancer, stroke, accident, etc.) and age. A good way to graphically represent the relationship is with

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd