Question

Although s is a(n) ____ estimate of the population standard deviation, it is more regularly reported...

Although s is a(n) ____ estimate of the population standard deviation, it is more regularly reported than s2 because ___. A) biased; it is easier to calculate because the standard deviation is reported in units instead of squared units. B) biased; it is easier than the standard deviation to read and is reported in units instead of squared units. C) unbiased; the sample variance is always a biased estimator of the population variance. D) unbiased; the standard deviation is easier to understand. E) none of the above

Homework Answers

Answer #1

We know that , the sample variance is always an ubiased estimator of the population variance .

But is a biased estimator of the population standard deviation .

Although is a estimate of the population standard deviation, it is more regularly reported than because

A) biased; it is easier to calculate because the standard deviation is reported in units instead of squared units.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two estimates are available for the same population parameter. Estimate one has a standard deviation of...
Two estimates are available for the same population parameter. Estimate one has a standard deviation of 9.3 and estimate two has a standard deviation of 9.4. Estimate two is unbiased, whereas estimate one is biased. Which estimate would you choose and why?
When the sample standard deviation S is based on a random sample from a normal population...
When the sample standard deviation S is based on a random sample from a normal population distribution, it can be shown that E(S) = 2/(n − 1) Γ(n/2)σ/Γ((n − 1)/2) Use this to obtain an unbiased estimator for σ of the form cS. What is c when n = 16? (Round your answer to four decimal places.)
Use technology to construct the confidence intervals for the population variance in the population standard deviation....
Use technology to construct the confidence intervals for the population variance in the population standard deviation. Assume the sample was taken from a normally distributed population. C equals 0.90, S squared equals 15.21, and n equals 28
For this term, we will create confidence intervals to estimate a population value using the general...
For this term, we will create confidence intervals to estimate a population value using the general formula: sample estimator +/- (reliability factor)(standard error of the estimator) Recall that the (reliability factor) x (standard error of the estimator)= margin of error (ME) for the interval. The ME is a measure of the uncertainty in our estimate of the population parameter. A confidence interval has a width=2ME. A 95% confidence interval for the unobserved population mean(µ), has a confidence level = 1-α...
P_1 Which of the following is a fundamental difference between the t statistic and a z-score?...
P_1 Which of the following is a fundamental difference between the t statistic and a z-score? A. The t statistic uses the sample mean in place of the population mean. B. The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n. C. The t statistic computes the standard error using a sample variance in place of the population variance. D. All of these are differences between t and z...
A random sample is selected from a population with mean μ = 100 and standard deviation...
A random sample is selected from a population with mean μ = 100 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 8 μ = σ = (b) n = 14 μ = σ = (c) n = 34 μ = σ = (d) n = 55 μ = σ = (f) n = 110...
QUESTION 25 Suppose professor finds that for 16 randomly selected students the time needed to complete...
QUESTION 25 Suppose professor finds that for 16 randomly selected students the time needed to complete an assignment had a sample mean of 65 minutes and a sample standard deviation of 40 minutes. The 98% confidence interval estimate for the population mean is: QUESTION 26 After estimating the interval in the previous question, we can interpret it as: a. We are 98% confident that the sample mean falls into the estimated interval. b. We are 98% confident that the estimated...
The population mean and standard deviation are given below. Find the required probability and determine whether...
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n equals=70, find the probability of a sample mean being greater than 218 if μ equals=217 and σ equals=3.5. 1) For a sample of n equals=70, the probability of a sample mean being greater than 218 if μ=217 and σ equals=3.5 is ______. 2) The sample mean (would/ would not) _____ be...
True or False: a.) Variance is the mean of the squared deviation score. b.) For any...
True or False: a.) Variance is the mean of the squared deviation score. b.) For any population, a z-score of +1.00 corresponds to a location above the mean by one standard deviation. c.) In a distribution with s=8, a score of X=64 corresponds to z=-.50. The mean for this sample will be M=60. d.) Transforming X values into z-scores will not change the shape of the distribution. e.) One advantage of transforming X values into z-scores is that the transformation...
Suppose we wish to estimate the mean systolic blood pressure in a single target population. We...
Suppose we wish to estimate the mean systolic blood pressure in a single target population. We select a sample of size n = 3539, find the sample mean, x = 127.3, and the sample standard deviation, s = 19.0. To find a 95% confidence interval, we see that tc = 1.96, and then are able to compute E = 0.63. What is the 95% confidence interval, stated in the correct context? Why did we use tc instead of zc in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT