You measure the weights of a simple random sample of 64 people from a population. The sample mean is x-bar = 55kg. Suppose that the mean weights in the population follow a normal distribution with unknown mean and standard deviation = 5 kg. The 95% confidence interval for μ is?

Q: For a population with mean of 50 and standard deviation of 8, what is the Z-score that corresponds…

A:

Q: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.…

A: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.

Q: Suppose you have selected a random sample of n=9 measurements from a normal distribution. Compare…

A: Given sample size(n)=9degrees of freedom(df)=n-1df=9-1=8

Q: Solve the following problem and show your complete solution: 1. Profesor Z conducted a periodic…

A:

Q: A random sample of 130 observations produced a mean of x¯=33.6 from a population with a normal…

A:

Q: 24. For a sample with a mean of M = 51, a score of X = 59 corresponds to z = .00. What is the sample…

A: Given that mean, M= 51 Score, X= 59  And z Score= 2  We've to find sample standard deviation. We…

Q: d/ Find the standard deviation of all the data values. e/ Does the confidence interval calculated in…

A:

Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A: Sample size n=700 Sample mean x¯=640 Population Standard deviation σ=300

Q: For a population with mean of 50 and standard deviation of 8, what is the z-score that corresponds…

A:

Q: Suppose you have selected a random sample of n=4 measurements from a normal distribution. Compare…

A: Given, n=4 df=n-1=3

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 14.…

A: Given information Mean = 131 Standard deviation = 14

Q: If the standard deviation of a population is 20 and we take a sample of size 16 from which to…

A: Given information Standard deviation σ = 20 Sample size n = 16

Q: For a sample with mean M=80,  a score of X=88 corresponds to z=2. What is the standard deviation?

A:

Q: For a population with mean of 50 and standard deviation of 8, what is the Z-score that corresponds…

A:

Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A:

Q: A machine produces nails whose lengths are (normally distributed with mean u cm and standard…

A:

Q: A sample of the reading scores of 30 fifth graders has mean of 62.the standard deviation of the…

A: Given,   Sample size = 30 Sample mean = 62 Population standard deviation = 15   The objective is to…

Q: If you were constructing a 95% confidence interval of the population mean based on a sample of n =…

A: Obtain the critical value of t. The critical value of t is obtained below: Obtain the degrees of…

Q: Calculate the standard deviation, standard error and 95% confidence intervals from the given…

A: a) The standard deviation is given by ​​​​​​​   b)The standard error is given by ​​​​​​​

Q: The standard deviation of a variable is 15. If a sample of 100 individuals is selected, what size is…

A:

Q: . For a population with a mean of µ = 70, a score of X = 64 corresponds to z = -1.50. What is the…

A:

Q: Construct the confidence interval for the population mean u. c=0.95 x=15.6 and standard deviation =…

A:

Q: A researcher reports survey results by stating that the standard error of the mean is 20.The…

A:

Q: A simple random sample of 40 items resulted in a sample mean of 25. The populationstandard deviation…

A: It is given that, Sample mean = 25. Population standard deviation, σ is 5. The sample size, n is 40.…

Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A:

Q: Find the sample size needed for a confidence interval about the population proportion if you want a…

A:

Q: What is tα/2,df for a 95% confidence interval of the population mean based on a sample of 15…

A: Solution: We have to find the t-critical value (tα/2) at the given significance level 1- 0.95=0.05…

Q: Use the sample information x¯x¯ = 43, σ = 6, n = 13 to calculate the following confidence intervals…

A:

Q: A sample has a mean M = 55. In the sample, a score of X = 48 corresponds to z = -1.50. What is the…

A:

Q: While writing an article on the high cost of college education, a reporter took a random sample of…

A: Given:

Q: A given distribution has a population mean, μ, of 147 and a population standard deviation, σ, of 8.…

A: Given information Mean (µ) = 147 Standard Deviation(σ) = 8 X = 130 z-score

Q: The weight of elephants at a zoo in Pittsburgh has a population mean of 5.3 tons and population…

A: Given Mean(μ)=5.3standard deviation(σ)=1.2sample size(n)=12

Q: The average test scores in a Science class is normally distributed with a standard deviation of 8.…

A: From the above information we have, n=200x=170σ=8 We can use the following formula for estimate the…

Q:

A: Population standard deviations σ=5, n=sample size=30, sample mean x̄=75 Find 90% CI for population…

Q: Assuming you obtained a random sample of blood glucose levels from 32 individuals from a population…

A: It is given that the mean is 120 and the standard deviation is 15.

Q: A sample of n = 25 scores has a mean of M = 40 and a standard deviation of s = 10. What is the…

A: Mean = 40 Standard deviation = 10 Sample size , n = 25

Q: You measure 24 dogs' weights, and find they have standard deviation is 5.1 ounces. Based on this, wh…

A: 24 dogs weights measured; n=24 Population standard deviation is 5.1; σ=5.1 confidence level = 95% So…

Q: A given distribution has a population mean, μ, of 137 and a population standard deviation, σ, of 15.…

A: Given, μ=137 σ=15 x = 110 z=?

Q: The sample size needed to estimate a population mean within 1.5 units with a 99% confidence when the…

A: From the provided information, Population standard deviation (σ) = 8 and E = 1.5 Confidence level =…

Q: A given distribution has a population mean, μ, of 142 and a population standard deviation, σ, of 10.…

A: It is given that the mean (µ) is 142 and the standard deviation (σ) is 10 and score, x is 110.

Q: For a population with mean of 50 and standard deviation of 8, what is the z-score that corresponds…

A: Given that , mean = μ = 50 standard deviation = σ = 8 x = 46

Q: The population has a mean of 120 and a standard deviation of 12. The sample size of your sampling…

A: The provided information are: Population mean (µ) = 120 Population standard deviation (σ) = 12…

Q: Suppose we have data coming from 69 i.i.d observations. The sample mean is JÓ28 and the sample…

A:

Q: You are about to collect data on rabbits, to estimate their mean ear length. The population follows…

A: Given that: Standard deviation = 0.4 cm Margin of error = 0.2 cm Confidence level = 95 % To find:…

Q: A given distribution has a population mean, μ, of 142 and a population standard deviation, σ, of 12.…

A:

Q: For a population with mean of 50 and standard deviation of 8, what is the z- score that corresponds…

A:

Q: In a sample distribution, a score of x = 21 corresponds to z = -1.00 and a score of x = 12…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: For a sample, a score that is 12 points above the mean has a z-score of z = 1.20. What is the sample…

A: We have to find sample standard deviation

Q: A nurse at a local hospital is interested in estimating the birth weight of infants. How large a…

A: The following information has been provided: α=0.02,E=4,σ=5\alpha = 0.02, E = 4, \sigma = 5…

Q: A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 9.…

A:

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.