A population has a mean µ = 82 and a standard deviation o= 16. Find the sampling distribution of sample means with sample size n = 64. ...
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A: GivenMean(μ)=141standard deviation(σ)=28sample size(n)=56
Q: what is the sample standard deviation?
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A: Given that. X~N( μ , ?) μ=130 , ?=5 , x=143 Z-score =( x - μ )/?
Q: The mean is u: = and the standard deviation is o: =
A: Given,
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A: Given Information: Sample size (n) = 49 Sample mean (x¯) = 90 Population standard deviation (σ) = 10…
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A: Mean()=169standard deviation()=21sample size(n)=46
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A: Given: Sample mean (M) = 76 Raw score (X) = 72 Sample standard deviation (s) = 8 Formula:
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A: From the provided information, Mean (µ) = 81 Standard deviation (σ) = 6 X~N (81, 6)
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- The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Stance duration (ms) was measured in separate samples of younger and older adults. younger: n=22 mean=801 s=117 older: n=16 mean=780 s=81 Test the claim that the true average stance is different between younger and older adults. Let population 1= younger population 2= older a. What is the appropriate procedure to test the claim? b.Construct a 95% confidence interval estimate, what is the margin of error? Use 2 decimal places.If random samples of the given sizes are drawn from populations with the given proportions, find the mean and standard error of the distribution of differences in sample proportions, p₁ - P₂. mean = n1 250 from p1 Round your answers to three decimal places, if necessary. standard error = i = = 0.8 and n₂ 60 from p₂ = 0.5A population has a mean μ=85 and a standard deviation σ=28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=49.
- An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).A population has a mean μ=79 and a standard deviation σ=21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=236.The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Stance duration (ms) was measured in separate samples of younger and older adults. younger: n=22 mean=801 s=117 older: n=16 mean=780 s=81 Test the claim that the true average stance is different between younger and older adults. Let population 1= younger population 2= older a. What is the appropriate procedure to test the claim? b.What is the degrees of freedom? Use the conservative formula. c.At 0.05 significance level, what is/are the critical value/s? d.What is the value of the test statistic? Use 2 decimal places e.Construct a 95% confidence interval estimate, what is the margin of error? Use 2 decimal places.
- For a sample with a standard deviation of s=4, a score of X=35 corresponds to Z= -1.25. what is the sample mean?The mean IQ score of adults is 100, with a standard deviation of 15. Use the empirical rule to find the percentage of adults with scores between 70 and 130. (Assume the data set has a bell-shaped distribution.)A random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6. What are the mean and the standard deviation for the sampling distribution of the sample mean?
- For a population with a mean of 45 and a standard deviation of 10 what is the standard error of distribution of sample mean for the following sample size n=45 and n=25Heights for women are bell-shaped with a mean of 65 inches and a standard deviation of 2.5 inches. if a random sample of 25 women is taken, what is the mean of the sampling distribution of x̅?A population has a mean μ=138 and a standard deviation σ=23. Find the mean and standard deviation of the sampling distribution of sample means with sample size n=41.