Question

A sample of 12 measurements has a mean of 31 and a standard deviation of 4....

A sample of 12 measurements has a mean of 31 and a standard deviation of 4. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 31 each.

A. Find the mean of the sample of 14 measurements.

Mean =

B. Find the standard deviation of the sample of 14 measurements.

Standard Deviation =

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

Homework Answers

Answer #1

Solution :

Given that,

mean = = 31

standard deviation = = 4

n = 14

a) =   = 31

b) = / n = 4 / 14 =1.069

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
A sample of 12 measurements has a mean of 38 and a standard deviation of 3.75....
A sample of 12 measurements has a mean of 38 and a standard deviation of 3.75. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 38 each. (round your answer to four decimal place) A.Find the mean of the sample of 14 measurements B. Find the standard deviation of the sample of 14 measurements.
A random sample of 49 measurements from a population with population standard deviation σ1 = 5...
A random sample of 49 measurements from a population with population standard deviation σ1 = 5 had a sample mean of x1 = 9. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 6 had a sample mean of x2 = 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Compute the corresponding sample distribution value. (Test the difference μ1 − μ2. Round your answer...
A population has a mean of 400 and a standard deviation of 90. Suppose a sample...
A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 125 is selected and  is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)    What is the probability that the sample mean will be within +/- 14 of the population mean (to 4 decimals)? (Round...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 25 dishwashers that you made. a.)     State the random variable. b.)    Find the mean of the sample mean. c.)     Find the standard deviation of the sample mean. d.)    Find the probability that the sample mean of the dishwashers is less...
The mean and standard deviation of a random sample of n measurements are equal to 34.1...
The mean and standard deviation of a random sample of n measurements are equal to 34.1 and 3.6, respectively. a. Find a 90% confidence interval for μ if n=144. b. Find a 90% confidence interval for μ if n=576. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?
a. find the mean and standard deviation of the following set of ungrouped sample data: 4,...
a. find the mean and standard deviation of the following set of ungrouped sample data: 4, 3, 5, 2, 3, 1, 2, 5, 3, 1, 5, 4, 6, 4, 5, 1, 3, 3, 7, 8, 7, 5, 4, 3, 7, 8, 4, 6, 9, 10, 10, 9, 6, 4, 6. b. What proportion of the measurements lies within one standard deviation of the mean? Within two standard deviations of the mean? Within three standard deviations? c. Based on part (b),...
The mean and standard deviation of a random sample of n measurements are equal to 33.9...
The mean and standard deviation of a random sample of n measurements are equal to 33.9 and 3.3, respectively. a. Find the lower limit, the upper limit and the margin of error for a 95% confidence interval for m if n = 100. b. Find the lower limit, the upper limit and the margin of error for  a 95% confidence interval for m if n = 400.
A population has a mean of 400 and a standard deviation of 90. Suppose a sample...
A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 100 is selected and x with bar on top is used to estimate mu. What is the probability that the sample mean will be within +/- 3 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 14 of the population mean (to...
A random sample of size 36 has sample mean 12 and sample standard deviation 3. (a)...
A random sample of size 36 has sample mean 12 and sample standard deviation 3. (a) Check Requirements: Is it appropriate to use a Student’s t distribution to compute a confidence interval for the population mean ? Explain. (b) Find a 80% confidence interval for µ. [round E to 2 d.p.] (c) Interpretation: Explain the meaning of the confidence interval you computed.
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. a.) State the random variable. b.) Find the mean of the sample mean. c.) Find the standard deviation of the sample mean. d.) What is the shape of the sampling distribution of the sample mean?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT