Suppose that a simple random sample is taken from a normal population having a standard deviation of 10 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the sample size is 4, obtain the margin of error.b. Repeat part (a) for a sample size of 16.c. Can you guess the margin of error for a sample size of 64? Explain your reasoning.

Q: Given a sample with s = 8.5 and n = 21. Estimate the population standard deviation with 90% of…

A: Given that Sample size n = 21 Sample SD = 8.5 The critical values of Chi-square at 90% confidence…

Q: Suppose, according to a 1990 demographic report, the average U. S. household spends $90 per day.…

A: Sample mean = $84.5.Sample standard deviation, s is $14.5.The sample size, n is 30.

Q: A small business ships specialty homemade candies to anywhere in the world. Past records indicate…

A: Solution-:  Here, is unknown so we use t-test Given: We find, (a) What is the standard error? (b)…

Q: A simple random sample of 400 individuals provides 100 Yes responses. a. What is the point estimate…

A: Given information x = 100 Sample size (n) = 400

Q: Suppose that the sample size had been​ 240, with x bar=4.1 and s=3.1. Use technology to find a​ 95%…

A: Sample mean = x̅ = 4.1 Sample size = n = 240 Sample S.D = s = 3.1 Standard Error = s/√n  =…

Q: Determine the sample size needed to construct a 95% confidence interval for the population mean, μ,…

A:

Q: The number of Grade 11 learners per section in Kasiglahan Village Senior High School has a mean of…

A: The population mean is 56.3. The population standard deviation is 8.6. We have to write which…

Q: 3 In a large city the distribution of incomes per family has a standard deviation of $5200. (i) For…

A: According to central limit theorem, if the population is normally distributed or sample size is at…

Q: Construct the indicated confidence interval for the difference between the two population means.…

A: We have given the amount of time spent watching television by women and by men- For sample 1 for…

Q: In a random sample of 15 ​people, the mean driving distance to work was 18.5 miles and the standard…

A:

Q: For a population with a mean of 72 and a standard deviation of 10 what is the standard error of the…

A: From the provided information, Mean (µ) = 72 Standard deviation (σ) = 10

Q: With a large sample size such as n = 100, we do not need to assume the distribution is normal in…

A:

Q: A statistics practitioner took a random sample of 50 observations from a population whose standard…

A: It is given that sample mean is 100 and the standard deviation is 25.

Q: The 2008 General Social Survey asked, “What do you think is the ideal number of children for a…

A: Given that,  n=678x¯=3.22s=1.99 The point estimate of the population mean is sample mean. That is,…

Q: Given a standard error of 5.2 with a sample size of 9. Then the standard deviation is

A: Solution: 4. From the given information, a standard error is 5.2 and n=9.

Q: Given a sample mean of 94.3, a sample standard deviation of 8.4 and a sample size of 6, test the…

A:

Q: For an SRS of 66 students, the average exam score was a 73. Assume you know the population standard…

A: Given,Standard deviation(σ)=10margin of error(E)=1.0α=1-0.99=0.01α2=0.005Z0.005=2.58     (from…

Q: For a population of leghorn chickens, the mean number of eggs laid per chicken is 7.3 with standard…

A: Given information: μlegborn=7.3σlegborn=1.7μsussex=5σsussex=0.85 Two independent ransom samples of…

Q: If the mass of 35 dogs in your neighborhood were normally distributed, with a mean of 11.2 kg and a…

A: Given data: Mean = 11.2 kg Standard deviation = 2.8 kg

Q: Given a sample mean of 83, a sample standard deviation of 12.5, and a sample size of 22, test the…

A:

Q: If the population standard deviation is σ=10, how large a sample is necessary to have a standard…

A: σ=10   The standard error is given by SE = σn n = (σSE)2

Q: 7. If n=25 and the sample standard deviation is 15, construct a 95% confidence interval for the true…

A: We have given that, n = 25 , Standard deviation = 15, We need to construct the 95% confidence…

Q: The quality-control manager at a light bulb factory needs to determine whether the mean life of a…

A:

Q: What sample size is needed to estimate a population mean within t 70 of the true mean value using a…

A: According to the provided information, Population standard deviation (σ) = 140.625 Confidence level…

Q: What is the smallest sample size required to provide a 95% confidence interval for a mean, if the…

A:

Q: To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19…

A:

Q: Given that the population standard deviation equals 273 and the sample size consists of 741…

A: Given information- Population standard deviation, σ = 273 Sample size, n = 741 We have to find the…

Q: Suppose that you wanted to estimate the population mean amount spent eating out per week by…

A: The question is about sample size estimation Given: Sample std. deviation = 200 dollars Margin of…

Q: Why is it desirable to have the explanatory variables spread out to test a hypothesis regarding B,…

A: Given problem Given that   Whys is it desirable to have the explanatory variables spread out to…

Q: or a sample of 121 that has a mean of 6540 and a standard deviation of 780, calculate the 90%…

A:

Q: Suppose an economist wishes to estimate the mean commute time of workers in Westchester County. The…

A: Given, Sample size n = 31Sample mean x¯ = 31.2Sample standard deviation s = 12.1

Q: A study is to be conducted to estimate the daily water consumption per person. If the population…

A:

Q: For a population with a mean of 45 and a standard deviation of 10, what is the standard error of the…

A: Obtain the value of standard error for the sample of size n=4 scores.   The value of standard…

Q: If the Standard Error SE( y ) is 1.299 and if the sample standard deviation is 4.87, what is the…

A: It is given that S.E(mean) = 1.299 Sample SD s = 4.87

Q: Find the error bound for an unknown population mean or the margin of error that corresponds to a 85%…

A: Find the error bound for an unknown population mean or the margin of error that corresponds to a 85%…

Q: An economist is interested in studying the incomes of consumers in a particular country. The…

A: The population standard deviation = $1,000.Z value for 90% confidence interval is 1.645.Sample size…

Q: A sample of 256 managers reveals a sample mean of $45,420. The standard deviation of the sample is…

A: Given: A sample of 256 managers has a sample mean of $45,420 and a standard deviation of $2,050.…

Q: For a population with a means of 72 and a standard deviation of 10 what is the standard error of the…

A: We have given that  Mean=72 Standard deviation=10 Sample size=25 Find the standard error

Q: In a random sample of twelve ​people, the mean driving distance to work was 18.8 miles and the…

A: From the given information we want to construct 90% confidence interval.

Q: If the sample mean is 70 and the standard error of the sample mean is 8, what will be the 90%…

A:

Q: If n=25 and the sample standard deviation is 15, construct a 95% confidence interval for the true…

A: The confidence interval is used to estimate the population parameter with the help of a sample…

Q: Test the claim that for the adult population of one town, the mean salary is $28,000. If a sample of…

A: Given information- Sample size, n = 25 Sample mean, x-bar = $23,500 Sample standard deviation (s) =…

Q: The cell phone conversations of a random sample of 50 students has a standard deviation of 9.7…

A: Given: n=50σ=9.7CI=90%=0.90

Q: As a manager of a certain restaurant, you want to conduct a study on the average waiting time before…

A: According to the given information, we have Margin of error = 2 Population standard deviation = 15

Q: The Chancellor wants you to calculate the sample size needed with a margin of error of 15, 99%…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: A study of a local city is being conducted to find out the average number of people that use public…

A: It is given that confidence level is 0.90, standard deviation is 100 and margin of error E is 11.

Q: I am confidant that the mean starting salaries of all my econ students is $60,000. If i am right,…

A:

Q: The instruction manual for an IKEA bookshelf claims that it will take 2 people 41 minutes to…

A: The Null hypothesis H0: μ = 41. Alternative hypothesis Ha: μ <41 Here, α =0.10 Since population…

Q: Given that the population standard deviation is 1, determine the minimum sample size needed in order…

A: Given : population standard deviation = σ = 1 margin of error = E = 0.2 level of confidence = 95% At…

Q: A researcher wishes to estimate the average amount a college student makes over the summer. Assume…

A: (a)compute sample size  n  = (z a/2 *  s.d / me ) ^2z alpha/2 at 0.1 level of significance is =…

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.