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: An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population…

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

Q: A population was found to have a mean of µ =75 and standard deviation of σ =2.3. If you took every…

A: Given information- Population mean µ = 75 Population standard deviation, σ = 2.3 Sample size, n = 10

Q: A population of scores has μ = 25 and σ = 1. If 3 points are added to every score in the population,…

A: From the given information, Consider , X be the random variable which denotes the scores. Ex=μ=28σ=1…

Q: st is designed so that the mean is 100 and the standard deviation is 16 for the population of…

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

Q: A sample has a mean M = 55. In the sample, a score of X = 48 corresponds to z = -1.20. What is the…

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Q: The average test score in a particular class is m=30. If you scored a 40 and the class (sample)…

A: Introduction: Denote the score of a randomly selected student in a class as X. It is given that the…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population…

A: The following information has been provided: x¯=100σ=16

Q: Find a 95% confidence interval for a mean, µ, where n = 324, x̄ = 2.7, s = .91, and se = .06.

A: Given: n = 324, x̄ = 2.7, s = .91, se = .06.

Q: A sample has a mean of 5.3, a median of 5.1, a sample standard deviation of 1.2, and a sample…

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Q: A distribution of values is normal with a mean of 50 and a standard deviation of 25. From this…

A: GivenMean(μ)=50standard deviation(σ)=25sample size(n)=31

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population…

A:

Q: The average room rate for a hotel in a city in 2016 was ​$332. Suppose the​ city's Chamber of…

A: Given,sample size(n)=41sample mean(x¯)=346.91standard deviation(σ)=58α=0.01

Q: Chapters: Normal and Exponential random variables.   Q: The cross-secitonal area of plastic tubing…

A: From given information we find probability and expected number.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.7 and a standard…

A: Given data, μ=98.7σ=16.2P(X<x)=25%x=?

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…

A: Given : Margin of error, ME = 8.0 population standard deviation, σ = 12.0…

Q: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers…

A: given data σ = 50.798% ci for μ.E = 5n = ?

Q: A population of scores has μ = 80. In this population, a score of X= 92 corresponds to z = 5. what…

A: Given: μ = 80 z = 5 X= 92

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

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Q: sample has a mean M = 89. In the sample, a score of X = 6 corresponds to z = 2. What is the standard…

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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…

A: Given dataσ = 1299% CI, E = 3n =?for 99% CI,P(-z<μ<z) = 0.99∴z=2.576  (∵z table)

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

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Q: f n=7 scores has a mean of u=13. What is the value of EX

A: The formula of the mean is: Meanμ = ΣX N

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

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

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

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Q: What is the ∑X for this sample

A: A sample of size is denoted by n. mean is nothing but the average of given sample observations. Here…

Q: A population of N= 10 scores has a mean ofµ=6. After one score is removed, the mean is found to be…

A:

Q: Suppose baby kittens' weights have a mean of 11.6 and a standard deviation of 1.5. The z-score tells…

A: Ans#- Given,          Mean μ = 11.6  and Standard deviation σ = 1.5         Use formula  z = x - μσ…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population…

A:

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 23 for the population…

A: Given information- Population standard deviation, σ = 23 Confidence interval = 0.95 Significance…

Q: A normal population has a mean μ = 40 and standard deviation σ = 8. What proportion of the…

A: NORMAL DISTRIBUTION ,μ=40σ=8 proportion of the population is between 37 and 48=?

Q: A sample has a mean of M=60 and a standard deviation of s=7.  For this sample, find the z-score for…

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Q: A population of N=5 scores has a mean of µ=7. After one score is removed, the mean is found to be…

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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…

A: Given data,μ=100σ=10E=2z-value at 95% confidence is Zc=1.96n=?

Q: a population of scores has u=44. in this population a score of x=40 corresponds to z = -1.00. What…

A: We have given that, Population mean (u) = 44, raw score of population (X) = 40 and z- score = -1. 00…

Q: A population of scores has µ=44. In this population, a score of X= 40 corresponds to z= - 0. 50.…

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Q: The average grade for an exam is 74, and the standard deviation is 7. If 11.9% of the class is given…

A: Given: μ = 74 σ = 7 Formula Used: z-score = X-μσ

Q: You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of…

A: Given: Earlier sample size = 35 Population standard deviation σ=5.8 Margin of error (E) = 0.5…

Q: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers…

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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.