Answered: We want to estimate a population mean u…

We want to estimate a population mean u of a population with a standard deviation s=12. What size sample must we take if we want a 95% confidence interval with a maximum error of 2

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: Suppose that the population standard deviation of students score is 20. what is the sample size so…

Q: An 1Q test is designed so that the mean is 100 and the standard deviation is 19 for the population…

A: Given : Mean = μ = 100 Standard deviation = 19 Margin of error (E) = 8 Level of significance = 0.10

Q: You are comparing freshmen and seniors at your college on hours spent studying per day. You pick a…

A: First sample (male): x1-bar = 3, (s1)2 = 1.2, n1 = 11. Second sample (female): x2-bar = 2, (s2)2 =…

Q: Find a 95% confidence interval for the sample mean of Y = X̄12 + X̄22 when X̄'s are obtained from…

A: Given X¯'s are obtained from standard normal population.

Q: mple of 400 items is found to have mean of 82 and standard deviation is 18. Find 95% confidence…

A: Given: Sample mean x¯=82 Sample standard deviation (s) = 18 Sample size (n) = 400 Confidence…

Q: he number of square feet per house are normally distributed with an unknown population mean and…

A: Given information- Sample size, n = 33 Confidence level, C = 90% Significance level, α = 0.1 So,…

Q: A research company desires to know the mean consumption of milk per week among males over age 45.…

A: Determine the sample size n needed. Obtain the area of probability in the right tail. Use EXCEL…

Q: Suppose that the pulse rates of adult males vary from a low of 30 bpm to a high of 110 bpm. Assume…

A: pulse rates of adult males vary from Low =30 bpm High=110 bpm confidence level=95% Margin of…

Q: A simple random sample of size n=16 is drawn from a population that is normally distributed. The…

A: Given information : Sample size = n = 16 Sample mean = x = 66 Sample standard deviation = s = 19…

Q: An lQ test is designed so that the mean is 100 and the standard deviation is 15 for the population…

A: To calculate the required sample size

Q: Concentration of atmospheric pollutants such as carbon monoxide (CO) can be measured with a…

A: Sample size(n)=50 Number of satisfactory measurements(x)=37

Q: A simple random sample of size n=17 is drawn from a population that is normally distributed. The…

A: The random variable X follows approximately normal distribution. The sample size is 17. The sample…

Q: A sample of 26 observations is taken from a normal distribution with unknown mean, the sample mean…

A: Answer: From the given data, Sample size(n) = 26 mean (x¯) = 12.6 Standard deviation(σ) = 2.5 95%…

Q: Two independent random samples were collected from the same population to estimate the population…

A: E = t*sn E is the margin of error

Q: Let us suppose we have data on the absorbency of paper towels that were produced by two different…

Q: The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this…

Q: You want to estimate the difference between two population means using a 95% confidence interval.…

A: Given Margin of Error (ME) = 0.6 The sample size of first population will be 100.

Q: If we have a sample of size 100 from a population of rope with sample mean breaking strength of 960…

A: The claim is that population mean breaking strength differs from 1000 pounds.

Q: A simple random sample of size n=15 is drawn from a population that is normally distributed. The…

A: Given information: n=15 x=57 s=20 Confidence level is 95% Significance level is 5%=0.05…

Q: If we have a sample of size 100 from a population of rope with sample mean breaking strength of 1040…

A: The claim is that the population mean breaking strength differs from 1000 pounds.

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population…

A: The given information, α = 0.10 ; E = 5 ; σ = 22 The critical value for the significance level α =…

Q: Q1) Find the standard error for a sample. x= 450 and n = 600 when Q2) create a as%. confidence…

A: The given values are x=450 and n=600.

Q: A sample of size n = 25 with the population standard deviation o = 3, compute the margin of error of…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…

A: Answer Given,The confidence interval = 90%The margin of error [E] = 2The mean = 100The standard…

Q: A research scientist wants to know how many times per hour a certain strain of bacteria reproduces.…

A: Given : Margin of error, ME = 0.21 population standard deviation, σ = √6.25…

Q: The number of square feet per house are normally distributed with a population standard deviation of…

A: We have to calculate 80% confidence level margin of error.

Q: Suppose we need to construct a 95% confidence interval for the mean of a normal population with…

Q: For data description from stata, what kind of information is needed for the following, give an…

A: t-test: A hypothesis test for comparing two independent population means using the means of two…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population…

Q: We want to estimate mean of a distribution by taking i.i.d. measurements, and computing their sample…

Q: mple of size 50 from a normal distribution has sample mean 5 and sample variance 20. Find 96%…

A: n=50sample mean =5sample variance =20comfidence interval=0.96we have to find out the 96% confidence…

Q: A study found that a 95% confidence interval for the mean μ of a particular population was computed…

A: Given, 95% confidence interval 10 ± 4 Sample size = 1200 To write the conclusion regarding…

Q: You've collected a sample of 14 concrete blocks and weighed them. You want to produce a 99%…

A: Given that there are 14 concrete blocks.Let n = sample size = 14Confidence level is 99%.Significance…

Q: the 95% confidence interval for estimating the population mean μ If sample mean X = 50, sample size…

A: We have given that Sample size = 60 Sample mean = 50 Population standard deviation = 10. 95%…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population…

Question

We want to estimate a population mean u of a population with a standard deviation s=12. What size sample must we take if we want a 95% confidence interval with a maximum error of 2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A sample of 10 from population 1 has a mean of 32 and a standard deviation of 6. A sample of 13 from population 2 has a mean of 48 and a standard deviation of 8. The population standard deviations are unknown but assumed to be equal. Test the hypothesis, at the 1% level of significance, that the population means are the same. State your conclusion as a sentence and include the test statistic and the critical value.
A point estimate consists of a single sample that is used to estimate the true population parameter. is a method of using samples to estimate population parameters.
Suppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places
A simple random sample of size n=24 is drawn from a population that is normal distributed. The sample mean is found to be x bar= 66 and the sample standard deviation is found to be s= 16.construct a 98% confidence interval about the population mean. (Round to two decimals)
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Suppose that the population standard deviation of a student's score is 20. Choose a sample size so that the resulting 95% confidence interval for the population mean score has a margin of error no larger than 5.
Suppose one would like to contract a 99.9% confidence interval for a sample mean when the population standard deviation is known. Determine the Z value that would be used to contract such a confidence interval run the solution to two decimal places. Z=
In the year 2033, Sarai Patterson is a leading traveling nurse. Sarai is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Sarai takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. a) What is the setup for your null and alternative hypothesis? b) What is the value of the test statistic? c) What is/are the critical value(s)?
A population of size 20 is sampled without replacement. The standard deviation of the population is 0.35. We require the standard error of the mean to be no more than 0.15. What is the minimum sample size?
Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of three points. A random sample of 36 scores is taken and gives a sample mean score of 68. Find a 90% confidence interval estimate for all the mean score on all exams or the true (population) mean of statistics exam scores. Use the format xx.xxx