Assume that you want to construct a​ 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the​ 95% confidence interval. The sample standard deviation is given.   Margin of​ error, E=2.8 ​minutes; sample standard​ deviation, s=45.1 minutes The required sample size is ___?

Q: Find the confidence interval specified. Assume that the population is normally distributed. Use…

A: Sample mean = x̅ = 76.2     Sample size = n = 27       Sample S.D = s = 21.4     Standard…

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A: given data  σ = 6.2 for 90% confidence  α = 0.10α2 = 0.051-α2=0.95 Z* = invNorm(0.95,0,1) = 1.645…

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A: Formula :

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A: Followings are the Explanation of the question Calculate the Sample Mean and Sample Standard…

Q: Assume that population mean is to be estimated from the sample described. Use the sample results to…

A: Here, n=36, x=65.9,  s=4.3, and CL = 0.95. Note that the standard deviation of population is…

Q: Find: Null hypothesis & Alternative hypothesis test statistic P-value conclusion

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A: Given n=22 X-bar=34.3 S=7.3

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A: Given95% confidence interval N=361 x = 59.1 seconds. z= 4.9 SecondsFind the margin of error?

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Q: Determine the sample size needed to construct a 95 % confidence interval to estimate the population…

A: Suppose μ is the population mean.

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A: Given data…

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A: Given,margin of error(E)=4population standard deviation(σ)=17α=1-0.90=0.1α2=0.05Z0.05=1.645

Q: Find the standard error of the mean, and then find an approximate 95% confidence interval for the…

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A: Here, σ=10, E=3, and CL=0.95. Note that the value of zα2 for 95% confidence level is 1.96.

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A: Single population mean Z- test:   If the sample is large and the population standard deviation is…

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Q: Construct an 80% confidence interval estimate for the population mean given the values below. a=47 n…

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A: We have given that  Sample size n = 7 Sample mean = 21.6 Standard deviation = 6.6 99% confidence…

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Q: n=36​, x=67.9 ​seconds, s=4.1 seconds       The margin of error is 1.4 seconds.

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A: We have given that  Sample size n =6 Sample mean = 23.2 Standard deviation =6.4

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A: given data,μ=100σ=17normal distribution CI=0.90n=?

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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.