What sample size is needed to estimate a population mean within 70 of the true mean value using a confidence level of 95%, if the true population variance is known to be 225,625? The sample size must be at least (Round up to the nearest whole number.)

What sample size is needed to estimate a population mean within 70 of the true mean value using a confidence level of 95%, if the true population variance is known to be 225,625? The sample size must be at least (Round up to the nearest whole number.)

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: In estimating the population mean with the population standard deviation unknown, if the sample size…

A: Given that, Population standard deviation is unknown and sample size (n) = 27

Q: Using a t-table or a t-score calculator, find the value of t for sample size (n) of 25 to estimate…

A: Sample size n=25

Q: A study is going to be conducted in which a population mean will be estimated using a 92% confidence…

A: Given that, Margin of error = 12 Population variance = 2500 92% confidence level

Q: Use the table to get the answers For the variable AGE i. What is the…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: You want to estimate the mean time college students spend watching online videos each day. The…

Q: simple random sample comprised of the following data: 55, 23, 15, 6, 31. What is the point estimate…

A: Given that Data - 55, 23, 15, 6, 31. Number of data values (n) = 5 Sum of data value = 55+…

Q: Assume you select an SRS of size 94 and give them a test. You calculate the mean test score in your…

Q: I want to create a 95% confidence interval for the average price of coffee in West Virginia. I have…

Q: A sampling distribution of means for samples of students taking the SAT exam has a population mean…

A: It is given that the sampling distribution has a population mean 500 and standard error 200.

Q: Please also explain why you determined whether or not the results are statistically significant.…

A: Given information isn1=40n2=40s1=0.50

Q: What is the best point estimate for the population's variance if the sample variance is 6? Round…

Q: Suppose that 10 observations are drawn from a normal population whose variance is 64. The…

A: Given that the population variance is 64. Sample size is 10. σ2=64n=10 Claim: There is enough…

Q: Why do you think any serious researcher would use the sample mean to estimate for the population…

A: Generally research is carried out to determine a particularoutcome in the targeted…

Q: The absolute difference between the population mean and the sample mean is called the

Q: Random samples of female and male undergraduates are asked to estimate the number of times a week…

A: Females (Population 1): 6, 3, 2, 6, 6, 6, 5, 2, 3, 4 x1 = 4.3…

Q: Find the sample size required to estimate the mean IQ of all college students. Assume we want a 99…

A: From the given information, σ=15 and E=2.

Q: What sample size is needed to give a margin of error within +3 in estimating a population mean with…

Q: Construct a 95% confidence interval to estimate the population mean when x=133 and s = 35 for…

Q: Using the table provided in class, indicate the critical value of "f" for a 95% confidence interval…

Q: imagine you’re hired by a beef company called “American Beef Makers” as a Data Analyst and you’re…

A: Please note that as per our guidelines if multiple sub-parts are there in a question we can answer…

Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's…

A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved…

Q: Assume that population mean is to be estimated from the sample described. Use the sample results to…

A: Given95% confidence interval N=361 x = 59.1 seconds. z= 4.9 SecondsFind the margin of error?

Q: Suppose you wanted to take another sample of dogs to find a 90% confidence interval of young dogs to…

Q: Now look at the variable DIFFERENCE in the data file “Fuel Efficiency.” If there is no difference…

A: Fill-Up No. Computer Driver Difference 1 41.5 36.5 5 2 50.7 44.2 6.5 3 36.6 37.2 -0.6…

Q: If the variance of a national accounting examination is 828, how large a sample is needed to…

A: Given data: Variance = 828 Margin of error = 4 points Confidence level = 99 % To calculate the…

Q: assume that a sample is used to estimate a population proportion p. find the margin of error that…

A: Givensample size(n)=325x=54.2p^=xn=54.2325=0.1668confidence level = 95%

Q: Based on the sample, make a point estimate of the population mean anxiety score. 2. Make…

Q: Assume that population mean is to be estimated from the sample described. Use the sample results to…

Q: Suppose that the true mean speed of cars in the school zone is actually 15 mph and the speeds we…

A: as the speed of cars in being measured in terms of the average, the parameter of interest is given…

Q: Provide an appropriate response. Determine the sample size required to estimate the mean score on a…

A: Solution: From the given information, confidence level is 0.90, S=15 and E=4.

Q: let the variable T stand for a student t-distributed variable. find the following a. in a sample of…

A: The Student t-distribution is used to find the confidence interval.

Q: Assume that a sample is being used to estimate a population mean μμ. If n = 29, x¯ = 46, and s =…

A: From the provided information, Sample size (n) = 29 Sample mean (x̅) = 46 Sample standard deviation…

Q: Should be consider this score unusual? What is the value of the test statistic?

Q: c. Find the confidence interval for the population mean with confidence level of 99%

Q: Which of the following will DECREASE the width of a confidence interval for a population proportion,…

A: Formula for the confidence interval for the proportion of the population is as follows…

Q: Why is it useful to know the standard error of the mean? (Choose all that are correct.) It is…

A: here we know that Standard error is the standard deviation of its sampling distribution. or an…

Q: The governor of Florida would like to estimate the mean age of all Florida residents. To do so, he…

A: The population is the set of all subjects of interest.

Q: 8. Construct the confidence interval for the population variance for the given values. Round your…

A: The question is about confidence interval Given : Randomly selected samples ( n ) = 24 Sample var. (…

Q: Assume that a sample is used to estimate a population proportion p. To find the 95% confidence…

Q: A sample with 45 observations is taken. The mean is found to be 25, while the population standard…

Q: In terms of skewness, what does it mean if more values are concentrated above the mean? In this…

A: Solution Given more values are concentrated above the mean . So Median will lies right side to the…

Q: Construct a 90% confidence interval of the population proportion using the given information.…

A: x=240 n=300 p= 240/300 = 0.8 q = 1-p = 1-0.8 = 0.2

Q: You are conducting a study to estimate the mean height of students in a university. The university…

A: To calculate the sample size required to estimate the mean height of students in the university with…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

What sample size is needed to estimate a population mean within 70 of the true mean value using a confidence level of 95%, if the true population variance is known to be 225,625?
The sample size must be at least .
(Round up to the nearest whole number.)
Enter your answer in the answer box.
lacBook

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Determine the sample size required to estimate the mean score on a standardized test within 2 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies. C O A. 1 O B. 18 OC. 407 O D. 306
Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of error and 95% confidence interval. n=49, x=55.1 seconds, s=4.8 seconds The margin of error is nothing seconds.
A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 117 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.) to
What value of z would you use to calculate the 98% confidence interval for a population mean, given that you know the population standard deviation, the sample size and the sample mean of your sample?
Suppose that a random sample of 11 scores from a population of test scores is to be used to estimate the population mean and standard deviation. If a 95% confidence interval for the mean is constructed , it contains values that are within _____ standard deviations of its mean.
The best way to reduce the variances in the distributions of means when conducting a t test for independent means is to increase the size of the samples. raise the study's level of significance. use the true population variance. treat the two samples as one sample.
The following sample data are from a normal population: 10,9,12,14,13,11,6,5 c. With 95% confidence, what is the margin of error for the estimation of the population mean (to 1 decimal)? d. What is the 95% confidence interval for the population mean (to 1 decimal)? d.
Which of the following t values would be used to construct a 99% confidence interval for the mean with a sample of size n=17?
If you want to construct a 90% confident interval for a population mean such that it is within a quarter (population) standard deviation from the sample mean, then what is the minimum sample size required?
Assume that distances people driving to work are normally distributed. In a random sample of five people, the mean driving distance to work was 23 miles and the standard deviation was 6 miles. What is the length of the 95% confidence interval for the mean driving distance to work. Round to the nearest mile.
A psychologist wants to estimate the mean age at which a child learns to talk. Find the sample size necessary for a 95% confidence level to ensure that the sample mean is within 8 weeks for the mean age at which a child learns to talk. Assume sigma as 5 weeks.
The data below give the wait time in seconds for a random sample of callers when calling a local pizza restaurant. {66, 37, 4, 47, 12, 16, 62, 12, 21, 25, 49, 3} a. What is the point estimate for the average wait time for callers? b. Verify conditions for using this sample to predict population mean of wait times. Estimate the mean wait time for all callers to this restaurant, with 90% confidence. Write your answer as a sentence. C. d. Estimate the standard deviation of wait times for all callers to this restaurant, with 90% confidence. Write your answer as a sentence. (You do not need to check requirements.)