What sample size is needed to estimate a population mean within t 70 of the true mean value using a confidence level of 95%, if the true population variance is known to be 140,625?

Q: The minimum sample size needed to estimate a population mean within 2 units with a 95% confidence…

A: Given Information -  Population Standard deviation (σ) = 8 Margin of error (E) = 2 Confidence level…

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: Determine the sample size needed to estimate the mean score on a standardized test within 4 points…

A: Given information Standard deviation σ= 20 Confidence interval = 0.99 Significance level(α) = 1-…

Q: A population has mean µ = 40 and %3D standard deviation o = 20. What should %3D the sample sizen be…

A:

Q: For a sample of n=16 scores, what is the value of the population standard deviation (σ) necessary to…

A: From the provided information, Sample size (n) = 16 Standard error (SE) = 8 points

Q: How large a sample would be necessary to estimate the true population mean in a large population…

A:

Q: Suppose that the amount of time spend by working student weekly is normally distributed with the…

A: Given,   Sample size = 120 Sample mean = 150 Population standard deviation = 25   Since the…

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…

A: According to the central limit theorem,

Q: What is the minimum sample size required to estimate a population mean with 95% confidence when the…

A: We have given that,  Margin of error (E) = 1.6 and population standard deviation (σ) = 10.65 and…

Q: Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60,…

A: State the hypotheses. That is, the population mean equals 60. That is, the population mean is less…

Q: suppose x has a normal dist. with a population standard deviation of 2.2. if a random sample size 31…

A: From the provided information, Sample mean (x̄) = 66 Population standard deviation (σ) = 2.2 Sample…

Q: Suppose x has a normal distribution with a population standard deviation of 2.2. If a random sample…

A:

Q: Determine the sample size required to estimate the mean score on a standardized test within 4 points…

A:

Q: A normal population with unknown variance has a mean of 20. Is one likely to obtain a random sample…

A: Consider that μ defines the population mean.

Q: A sample of n = 25 scores is determined to have a standard error of 2 points. what is the standard…

A: Given data, SE=2 n=25 s=?

Q: What is the minimum sample size required to estimate a population mean with 95% confidence when the…

A: Given, standard deviation, σ = 10.75 margin of error, E = 1.9

Q: What sample size is needed to give a margin of error within +6 in estimating a population mean with…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A quality control inspector makes it clear that in order for an item to be acceptable, the…

A: Given: Margin of error (E): E=0.0712 Population variance: σ2=8.85 Confidence level (c) =0.99α=1-c…

Q: Find a 90% confidence interval for the mean of a normal distribution if population variance is 4 and…

A: Given CL = 0.90 Population variance, σ2=4 Sample size, n=8 9,14,10,12,7,13,11,12

Q: A random sample of 100 observations produced a mean x̅ =38.5 and a standard deviation of 3.2. find a…

A: Given information Sample size(n) = 100 Sample mean x̅ =38.5 Sample standard deviation = 3.2…

Q: Let the mean of the chance sample with a width of n = 9 taken in a normally distributed population…

A: The confidence interval gives a plausible range of values for an unknown parameter based on the…

Q: If a student computes the standard deviation that was due to the analysis error from a homogenous…

A: Given SD from homogenous sample = 0.04 SD from heterogeneous sample = 0.05

Q: 1. Suppose that we want to estimate to within $1000 the mean salary of all graduates who were…

A: Given,margin of error(E)=1000standard deviation(σ)=5000α=1-0.95=0.05α2=0.025z0.025=1.96

Q: A random sample of size 25 from a normal population has mean 47.5 and standard deviation 8.4. Does…

A: In order to test the claim that the mean of the population is 42.1, conduct a single mean comparison…

Q: 1. The average height of the students in a famous college in the city is unknown but the standard…

A: 1. The population standard deviation is 0.8, sample size is 49, and sample mean is 6.1. Computation…

Q: The Hilbert Drug Store owner plans to survey a random sample of his customers with the objective of…

A:

Q: How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters…

A: Given Information: Confidence level = 90%  Error (e) = 4 minutes Standard Deviation (s) = 12 minutes…

Q: Suppose it is desired to estimate the variance of the tensile strength of a particular type of…

A: Given information: Sample size(n)=21. Confidence level is 95%. Level of significance is: Sample…

Q: If a population has standard deviation 20, what is the minimum sample size to be 95% confident that…

A: Solution: From the given information, confidence level is 0.95, σ=20 and E=4.

Q: Estimate the population mean by finding a 99% confidence interval given a sample of size 9, with a…

A:

Q: The sample size needed to estimate a population mean within 2 units with a 95% confidence when the…

A: Given,σ=8E=2Zc at 95% confidence is Zc=1.96n=?

Q: Suppose that the amount of time teenagers spend playing computer games per week is normally…

A:

Q: Find the error margin for a 98% confidence interval for the average value of Y when X is 9.

A: Given: The error margin for 98% confidence internal for the average value of Y when X is 9

Q: If a school district takes a random sample of 66 Math SAT scores and finds that the average is 480,…

A:

Q: Determine the sample size required to estimate the mean score on a standardized test within   4…

A: The confidence interval is used to estimate the population parameter. The confidence interval gives…

Q: The population of Senior High School learners in XYZ Integrated School has a mean of 54.5 and a…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION KINDLY REPOST FOR REMAINING HERE mean…

Q: Suppose you have 86 samples with sample standard deviation 4.7. A 99% confidence interval for the…

A: The sample size is 86, and the sample standard deviation is 4.7. The degrees of freedom is,…

Q: Assume that a sample is used to estimate a population mean µ. Find the margin of error M.E, that…

A:

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

A: According to the given information in this question We need to find the sample size n

Q: Suppose the population standard deviation is standard deviation "sigma"=7, an SRS of n=45 is…

A: Given that, σ=7,n=45 Critical value: Using the z-table, the critical value at 95% confidence level…

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: Suppose that a random sample of 11 scores from a population of test scores is to be used to estimate…

A: Chebyshev's rule and empirical rule and related to the proportion of data that falls with different…

Q: Suppose the body mass index (BMI) of a group of athletes has a population mean of 24.98 and a…

A: # Given random sample of size n=150 and population mean mu=24.98  and standard deviations=4.18  To…

Q: If 330, 610] is a confidence interval for the population mean. Find the value of the point estimator…

A: The confidence interval for population mean is given by (330, 610) Let M be the sample mean and E be…

Q: Suppose the prices for the iphone 12 are normally distributed with an unknown population mean and a…

A: The sample mean is 850 and the population standard deviation is 75.

Q: A researcher wishes to see if the average number of sick days a worker takes per year is greater…

A: From provided information, claim that the average number of sick days a worker takes per year is…

Q: Use this fact to derive an exact 95% confidence interval for the population variance o?.

A:

Q: Suppose that a simple random sample is taken from a normal population having a standard deviation of…

A: Given, n=64 σ=5.5α=0.05MOE=Zα/2*σn

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.