Answered: How large a sample should be selected…

How large a sample should be selected to provide a 95% confidence interval with a margin of error of 10? Assume that the population standard deviation is 40. Use excel please

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Given Margin of error=8, level of significance ɑ=0.05, standard deviations σ=10

Q: A researcher found a 95% confidence interval for the proportion of college students who believe in…

Q: How large a sample should be selected to provide a 99% confidence interval with a margin of error of…

A: Given,standard deviation(σ)=50margin of error (E)=10α=1-0.99=0.01α2=0.005Z0.005=2.58

Q: The mean value of the 130 observation is 17 with standard deviation deviation equal to 0.98. Find…

Q: A sample of 60 people who were chosen for a sample had an average IQ score of 105. If the population…

A: From the given, x¯ (mean IQ score from sample)=105n (sample size)=60σ (population SD of IQ…

Q: help me

A: The objective of this question is to calculate the 95% confidence interval for the mean serum…

Q: Find a 90% confidence interval for the population standard deviation if you are given a sample of 10…

A: Given data : sample size,n = 10 df=n-1= 9 sample standard deviation,s= 3.0…

Q: The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish…

A: Sample mean = x̅ = 244 Sample size = n = 50 Population S.D = σ = 15 Standard Error = σ/√n =…

Q: The class mean for the exam was 82 with a standard deviation of 6. There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6 sample size n = 37 Standard error of the…

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: if a sample n = 16, mean = 10.3,standard deviation is 2.6. calculate a 95% confidence interval.

Q: The mean hours of worked for United Airlines pilots is 46 hours/month based upon a sample of 25…

A: Given: Sample size, n=25 Sample mean, X=46 hours Sample standard deviation, s=3 hours The level of…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.6 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Find the Confidence interval for the true Population Mean if a sample of 50 has a mean of 26.8 and a…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 102 and a standard…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Given : Margin of error = 5 α = 0.05 Population standard deviation = σ = 30 zα2 = z0.052 = 1.96

Q: In a hospital, a sample of 8 weeks was selected, and it was found that an average of 529 patients…

Q: A laboratory tested 78 chicken eggs and found that the mean amount of cholesterol was 224 milligrams…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. What IQ do you need to…

A: IQ is normally distributed with a mean of 100 and a standard deviation of 15.

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

Q: The average score for 100 teenagers playing a certain computer game was 80,000 points per player. If…

A: Here we need to construct a 68% confidence interval for the mean score of all teenagers. Given…

Q: One year, the mean age of an inmate on death row was 39.2 years. A sociologist wondered whether the…

Q: The variable x is normally distributed with a mean of 500 and a standard deviation of 43. Find the…

Q: You measure 45 dogs' weights, and find they have a mean weight of 73 ounces. Assume the population…

A: Sample size n=45Sample mean=73Population standard deviation=9.1

Q: A recent survey of 8 social network sites has a mean of 13.1 million visitors for a specific month.…

A: Given that, Mean = 13.1 Standard deviation = 3.1 Sample size = 8

Q: A statistics professor recently graded final exams for students in her introductory statistics…

A: Answer Given she found the mean score out of 100 points was a x¯=77, with a margin of error of…

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: You measure 43 dogs' weights, and find they have a mean weight of 34 ounces. Assume the population…

A: Given:n=43To construct a 95 % confidence interval for the true population mean dog weight, you would…

Q: When a distribution is bell-shaped, approximately what percentage of data values fall within 1…

A: We know that, the empirical rule which is also known as 68-95-99.7 rule. The Empirical Rule finds…

Q: construct the normal model for data with a mean of 57 and a standard deviation of 6. Show the…

A: It is called empirical rule. Given, Mu= 57 Sigma = 6

Q: Data of the weights of 81 pet dogs was collected. The sample mean was 30. The standard deviation is…

A: Here, T - interval is applicable ================= df = n-1

Q: A researcher collected sample data for 9 women ages 18 to 24. The sample had a mean serum…

A: Solution: Let X be the serum cholesterol level of all women in the age group 18 to 24. From the…

Q: Find the critical t value to use in making an 80% confidence interval for a mean if the sample size…

Q: The annual per capita consumption of oranges (in pounds) in the United States can be approximated…

A: It is given that the mean and standard deviation are 19.2 and 4, respectively.

Question

How large a sample should be selected to provide a 95% confidence interval with a margin of error of 10? Assume that the population standard deviation is 40.

Use excel please

Expert Solution

Step 1

The following information has been provided:

The confidence level is 95%.

The margin of Error is $E = 10$ .

The population standard deviation is $σ = 40$ .

We need to compute the sample size $(n)$ .

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the Margin of Error, if we are asked for 90% confidence interval where the mean is 52.3, the standard deviation is 2.15 and the sample size is 136.
A bottle of water is advertised as containing 1 liter of water. However, after testing a few hundred bottles, you find the average amount of water is normally distributed and contains 1.07 liters on average with a standard deviation of 0.05. What percent of bottles have exactly 1 liter? Please solve in excel.
A survey of 30 adults found that the mean age of a person's vehicle is 3.6 years. Assuming the population distribution is normal and the standard deviation is 2 years, find the 94% confidence interval for the population mean. What is the meaning of this confidence interval?
In a random sample of 2500 men being treated for obesity, the mean total cholesterol level is 175 with a standard deviation of 25. Construct a 95% confidence interval around the mean and interpret it. Use the context of the question please.
Find z* for a confidence level of 83%. Give your answer to 3 decimal places.
a laboratory tested 36 chicken eggs and found that the mean amount of the cholesterol was 230 mg with s = 20 mg. Find a 90% confidence interval for the true mean cholesterol content of an egg.