You plan to take a random sample from a population of 500 items and build a 95% confidence interval estimate of the population mean. You want a margin of error no bigger than plus/minus 5. You estimate the population standard deviation to be 100. How large a sample is needed?

You plan to take a random sample from a population of 500 items and build a 95% confidence interval estimate of the population mean. You want a margin of error no bigger than plus/minus 5. You estimate the population standard deviation to be 100. How large a sample is needed?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: You intend to estimate a population mean with a confidence interval. You believe the population to…

A: Find the t-critical value:

Q: You want to obtain a sample to estimate a population mean. based on previous evidence, you believe…

A: Answer: From the given data, Margin of error (ME) = 1.6 Standard deviation(σ) = 19.7 95% confidence…

Q: Your statistics instructor wants you to determine a confidence interval estimate for the mean test…

A: Given that x¯ =160,σ = 45 ,α=0.05

Q: Find the sample size need to find the Population Mean if the margin of error is $105, the confidence…

A: Solution: From the given information, confidence level is 0.95, σ=315 and E=105.

Q: You want to obtain a sample to estimate a population mean. based on previ evidence, you believe the…

Q: You sample 36 families to find out how much they spent on groceries last month. Your sample mean is…

A: Given data,n=36x=540s=82α=0.05

Q: You intend to estimate a population mean with a confidence interval. You believe the population to…

A: Sample size (n) = 63 Degree of freedom = n – 1 = 63 – 1 = 62 Confidence level = 81.2% Level of…

Q: You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based…

A: Given information Standard deviation

Q: Based on the description above, label the hypothesis below με 98.6° Fahrenheit O null hypothesis O…

Q: You intend to estimate a population mean with a confidence interval. You believe the population to…

Q: 61 students are asked in a survey how many hours they work during a week. Their responses have a…

A: The random variable X follows normal distribution. The sample size is 61. The sample mean is 24. The…

Q: You are conducting a study to see how much high school students spend on back to school shopping.…

A: The sample size can be calculated as: n=z×σE2 Here, z = desired confidence level E = The allowable…

Q: SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested…

A: Given information: Population standard deviation of the SAT scores is, σ=300 Confidence level, c =…

Q: You want to obtain a sample to estimate a population mean. based on previous evidence, you believe…

A: 99% ci for μ.E = 1.1σ = 18.2n = ?

Q: 2. A student did a poll of a sample of 32 students at Ooltewah and found their amount of pets they…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based…

Q: Analyze the figure below. All of the choices are true EXCEPT for one. Identify the exception.*…

Q: you want to obtain a sample to estimate a population mean. based on previous evidence, you believe…

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

Q: magine that you conduct a study and estimate that the prevalence of hypertension among employees of…

A: It is given that the estimated prevalence is 24%.

Q: We asked 101 people to report the number of cars they've ever owned. The results are a mean of 4 and…

A: Given data,n=101x=4σ=1z-value at 90% confidence is Zc=1.645

Q: Suppose you survey a random sample from a large population to understand the population proportion.…

A: Given information- Margin of error, E = 6% = 0.06 Confidence level, c = 98% Since nothing is known…

Q: You want to obtain a sample to estimate a population mean. based on previous evidence, you believe…

A: Answer: Using the given data, Population standard deviation (σ) = 19.3 Margin of error (E) = 1.3 For…

Q: A second student did the same survey for a different class of 29 students, but was not able to find…

A: Sample mean = x̅ = 2.9 Sample size = n = 29 Sample S.D = s = 1.8 Standard Error = s/√n =…

Q: For his senior project jerry wants to know the average gpa of students at his high school. He…

A: Here sample size is n= 21 And mean, X bar = 3.07 Standard deviation, s= 0.78 Confidence interval…

Q: In a random sample of seven people, the mean driving distance to work was 24.1 miles and the…

Q: You work for a consumer advocate agency and want to estimate the population mean cost of replacing a…

A: According to bartleby expert guidelines we can answer only first three subparts. Rest can be repost.

Q: You work for a soft-drink company in the quality control division. You are interested in the…

A: x x2 12.03 144.7209 11.92 142.0864 12.09 146.1681 11.94 142.5636 11.92 142.0864…

Q: Solve this for me

A: Given:sample size n=35sample mean x̄=1.41sample standard deviation s=1.19population standard…

Q: Use the confidence interval to find the margin of error and the sample mean. (0.676,0.800)

A: The margin of error is the most common term which we use in a confidence interval. It is the degree…

Q: You want to estimate the number of sentences in a magazine advertisement must be included in the…

A: It is given that Margin of error E = 1 Standard deviation SD = 50 Level of confidence = 95% The…

Q: 1. Estimate the population mean of the weekly allowance of DPC students at 99% confidence level…

A: Confidence level = 99% mean allowance of 169 samples is 1430 with a standard deviation of 660. Here…

Q: You have 16 vampire bats. These bats have a population variance of 3.4 ounces. You wish to make a…

A: Given: Sample size (n) = 16 Population variance σ2=3.4 Sample mean x¯=15.20 Confidence level = 0.950

Q: Out of 500 people sampled, 330 had kids. Based on this, construct a 99% confidence interval for the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Social Networking Sites A recent survey of social networking sites has a mean of million visitors…

A: Number of social networking sites =6Mean=13Standard deviation = 3.2The confidence interval formula…

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

Q: You intend to estimate a population mean with a confidence interval. You believe the population to…

Q: You plan to build a 95% confidence interval estimate of the mean of a large population. You want a…

A: Givenconfidence level=95%Margin of error(E)=10standard deviation(σ)=200

Q: We are collecting data on the patients that have been vaccinated for the coronavirus, and the…

A: Given :The initial data shows a 90% success. We want the margin of error to be no more than 3%. We…

Q: ) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 80%…

A: here use given sample data for calculating sample standard deviation confidence level = 80%

Q: You intend to estimate a population mean with a confidence interval. You believe the population to…

Q: Heights for teenage boys and girls were calculated. The mean height for the sample of 73 boys was…

A: given data, n1=73x¯1=167s12 =71s1=8.4261n2=47x¯2=180s22 =66s2=8.124

Question

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 7.Find the critical value that corresponds to a confidence level of 99.9%.
Heights for teenage boys and girls were calculated. The mean height for the sample of 47 boys was 185 cm and the variance was 58. For the sample of 66 girls, the mean was 174 cm and the variance was 69. There is no reason to assume the variances would be equal. Estimate how much taller teenage boys are using a 87% confidence level. Express this in the (point estimate) ± (margin of error) format. Round answers to 2 decimal places. H
You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 90% level of confidence. Use 3 decimal places for all answers. 12.11 11.99 11.88 12.04 12.11 12 12.16 12.18 12.16 12.01 12.12 12.02 12.05 12.04 12.27 (Data checksum: 181.14) a) Find the sample standard deviation: b) Find the lower and upper �2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for �: ( , )
Heights for teenage boys and girls were calculated. The mean height for the sample of 50 boys was 167 cm and the variance was 57. For the sample of 56 girls, the mean was 153 cm and the variance was 67. There is no reason to assume the variances would be equal. Estimate how much taller teenage boys are using a 99% confidence level. Express this in the (point estimate) ± (margin of error) format. Round answers to 2 decimal places. H
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 43.Find the critical value that corresponds to a confidence level of 90%
The Statistics Games are played by a large number of teams across the county. Teams raise money to cover expenses incurred by participating. You want to estimate the mean amount of money raised by teams. You take a random sample of 36 teams and find a mean of $375, with a standard deviation of $32. What critical value should you use for a 95% confidence interval?
Need some Help!
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Heights for teenage boys and girls were calculated. The mean height for the sample of 51 boys was 183 cm and the variance was 66. For the sample of 71 girls, the mean was 173 cm and the variance was 61. There is no reason to assume the variances would be equal. Estimate how much taller teenage boys are using a 87% confidence level. Express this in the (point estimate) ± (margin of error) format. Round answers to 2 decimal places. H
Find the margin of error at a 80% confidence level for estimating the population mean if n = 15, x = 44 and 8 = 10. Round your answer to 2 decimal places.
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 8. While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 93.5%.
Please note that answer 1537 was incorrect.