Question

True or False. Sp denotes the pooled estimate of the common standard deviation computed as the...

True or False. Sp denotes the pooled estimate of the common standard deviation computed as the weighted average of the standard deviations in the samples, and assumes that the variances of the population are similar.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

Given statement is:

Sp denotes the pooled estimate of the common standard deviation computed as the weighted average of the standard deviations in the samples, and assumes that the variances of the population are similar.

According to definition of pooled standard deviation: pooled standard deviation is the pooled estimate of common standard deviation assuming equal variances and it is computed as average of the of the standard deviations in the samples.

It is given by:

Here we can see we have pooled two standard deviations and found their average.

Thus given statement is True.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
12.16 Calculating the pooled standard deviation. An experiment was run to compare three groups. The sample...
12.16 Calculating the pooled standard deviation. An experiment was run to compare three groups. The sample sizes were 28, 33, and 102, and the corresponding estimated standard deviations were 2.7, 2.6, and 4.8. (a) Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Give a reason for your answer. (b) Give the values of the variances for the three groups. (c) Find the pooled variance. (d) What is the value of the pooled...
Which of the following will be true about the return and standard deviation of a portfolio?...
Which of the following will be true about the return and standard deviation of a portfolio? A. The return of a portfolio will be the weighted average of the returns in the portfolio, but the standard deviation will be less than the weighted average of the standard deviations in the portfolio. B. The return and standard deviation of a portfolio will be the weighted average of the returns and standard deviations in the portfolio. C. The return and standard deviation...
True or False? 1. σM  equals the standard deviation divided by the square root of the sample...
True or False? 1. σM  equals the standard deviation divided by the square root of the sample size 2. Larger samples more accurately reflect the population than smaller samples 3. If n = 1, the standard error will equal the standard deviation of the population 4. If a population is skewed, the distribution of sample means will never be normal 5. The mean for the distribution of samples means is equal to the mean of the population 6. As the sample...
True or false a. The standard deviation is negative for a data set where all values...
True or false a. The standard deviation is negative for a data set where all values are negative. b. A population with an average of 20 and variance of 16, has a coefficient of variation equal to the mean. c.The standard deviation is a measure of dispersion that does not take into account all the observations of a data set. d.The route of a data set is affected by the existence of extreme values.
True or False: A portfolio’s return is the weighted average of each individual investment’s return. However,...
True or False: A portfolio’s return is the weighted average of each individual investment’s return. However, a portfolio’s risk is not the weighted average of each investment’s standard deviation. True False
What is the standard deviation of a stock that has a 10 percent chance of earning...
What is the standard deviation of a stock that has a 10 percent chance of earning 18%, a 10 percent chance of making 11%, a 40 percent chance of making 5%, and a 40 percent chance of making 22%? A. 7.95% B. 13.70% C. 7.78% D. 13.05% You have $250,000 to invest in two stocks. Stock A has an expected return of 15% and stock B has an expected return of 8%. How much must you invest in each stock...
Consider the following statements concerning confidence interval estimates: A. The use of the pooled variance estimator...
Consider the following statements concerning confidence interval estimates: A. The use of the pooled variance estimator when constructing a confidence interval for the difference between means requires the assumption that the population variances are equal. B. The width of a confidence interval estimate for the proportion, or for mean when the population standard deviation is known, is inversely proportional to the square root of the sample size. C. To determine the sample size required to achieve a desired precision in...
The average of the sample means is the true population mean. True or false The sample...
The average of the sample means is the true population mean. True or false The sample means vary less if the sample is larger. True or false If a variable does not follow a Normal distribution, the sample means will never be Normally distributed. True or false If the sample size is large enough, the sample means will follow a Normal distribution. True or false "No bias" means that the sample means are always exactly equal to the population mean....
Indicate whether the following statement is true or false. 1. When estimating a confidence interval for...
Indicate whether the following statement is true or false. 1. When estimating a confidence interval for the difference between the means of two independent populations, the pooled variance is the average of two sample variances, if the two sample sizes are equal. 2. Both the t-distribution and standard normal distribution have the same mean, but the t-distribution has a smaller standard deviation than the standard normal distribution. 3. The standard deviation of the distribution of   (i.e. standard error of the mean)...
1.) Unlike normal distributions, the standard normal distribution is purely theoretical. Select one: True False 2.)...
1.) Unlike normal distributions, the standard normal distribution is purely theoretical. Select one: True False 2.) Patricia's vet told her that the z-score for her dog's weight range is 1.75 for huskies. Which of the following is the best interpretation of this standardized score? The weight of huskies (measured in pounds) is approximately normally distributed with a mean of 45 lbs and a standard deviation of 3 lbs. Select one: a. Patricia's dog's weight is 1.75 times above the average...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT