A data set has a mean of 700 and a standard deviation of 40. a. Using...

A data set has a mean of 700 and a standard deviation of 40.

a. Using Chebyshev's theorem, what percentage of the observations fall between 540 and 860?

b. Using Chebyshev’s theorem, what percentage of the observations fall between 500 and 900?

Expert Solution

milcah answered 1 year ago

Find the standard deviation for a set of data that has a mean of 100 and...

Find the standard deviation for a set of data that has a mean of 100 and 95% of the data falls between 70 and 130. ** Please show me the procedure, thanks!!!

the mean of the data set: 37634.3 the standard deviation of the data set: 10967.85287 the...

the mean of the data set: 37634.3 the standard deviation of the data set: 10967.85287 the sample size of the data set: 50 Using the numbers above calculate the following Show your step-by-step work for each question: Determine the 90% confidence interval, assuming that sigma is unknown, list each in proper (lower bound, upper bound) notation. Make a confidence statement. Determine the 95% confidence interval, assuming that sigma is unknown, list each in proper (lower bound, upper bound) notation. Make...

A set of data is normally distributed with a mean of 37 and a standard deviation...

A set of data is normally distributed with a mean of 37 and a standard deviation of 1.5. If you randomly select a data point and it is 37.75, which of the following would describe that data point? Unusually large (Statistically significant) Unusually small (Statistically significant) Not unusual (Not statistically significant) Not enough information

Given the data set below, calculate the standard deviation standard deviation using the defining formula standard...

Given the data set below, calculate the standard deviation standard deviation using the defining formula standard deviation using the computing formula 8,41,24,19,15,12,47,12,33

A statistical practitioner determined that the mean and standard deviation of a data set which is...

A statistical practitioner determined that the mean and standard deviation of a data set which is symmetrical and normal (bell-shaped) were 120 and 10, respectively. What can you say about the proportions of observations that lie between each of the following intervals? a. 90 and 150 b. 100 and 140 c. 110 and 150

Given a distribution that has a mean of 40 and a standard deviation of 13, calculate...

Given a distribution that has a mean of 40 and a standard deviation of 13, calculate the probability that a sample of 49 has a sample mean that is no more than 35

A) If a normal distribution has a mean µ = 40 and a standard deviation σ...

A) If a normal distribution has a mean µ = 40 and a standard deviation σ = 2, what value of x would you expect to find 2 standard deviations below the mean B) If a normal distribution has a mean µ = 70 and a variance σ2 = 16, what value of x would you expect to find 2.5 standard deviations above the mean? C)If a sample yields a mean xmean = 44 and we know that the sum...

Suppose x has a distribution with a mean of 40 and a standard deviation of 21....

Suppose x has a distribution with a mean of 40 and a standard deviation of 21. Random samples of size n = 36 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 47. z = (c) Find P(x < 47). (Round your answer to four decimal places.) P(x < 47)...

Suppose x has a distribution with a mean of 40 and a standard deviation of 28....

Suppose x has a distribution with a mean of 40 and a standard deviation of 28. Random samples of size n = 64 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has ---Select--- a binomial an approximately normal a normal a geometric an unknown a Poisson distribution with mean μx = ? and standard deviation σx = .? (b) Find the z value corresponding to x = 33. z = c) Find...

3. Take the mean and standard deviation of data set A calculated in problem 1 and...

3. Take the mean and standard deviation of data set A calculated in problem 1 and assume that they are population parameters (μ and σ) known for the variable fish length in a population of rainbow trouts in the Coldwater River. Imagine that data set B is a sample obtained from a different population in Red River (Chapter 6 problem!). a) Conduct a hypothesis test to see if the mean fish length in the Red River population is different from...

Question