Question

population mean = 41.17 ; mean of sample means = 41.14 population standard deviation = 15.60...

population mean = 41.17 ; mean of sample means = 41.14

population standard deviation = 15.60 ; standard deviation of sample means = 4.26

a) From the above information , comment the result of :

i) population mean and mean of sample means;

ii) population standard deviation and standard deviation of sample means

Homework Answers

Answer #1

i) population mean and mean of sample means

The means of sample mean is always equal to the population mean

Here also,

population mean = 41.17 ; mean of sample means = 41.14

ii) population standard deviation and standard deviation of sample means

The standard deviation of sample means is less than that of population standard deviation as

population standard deviation = 15.60 ; standard deviation of sample means = 4.26

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
The standard error of a distribution of sample means is __________ than the standard deviation of...
The standard error of a distribution of sample means is __________ than the standard deviation of a population of individuals it came from because most of the sample means will be __________ to the mean of the population of individuals
True or False? Sample means will be closer to the population mean if the sample is...
True or False? Sample means will be closer to the population mean if the sample is large. True or False? Sample means never make mistakes. True or False? Sample means make mistakes that quantifiable and measured by the standard deviation of the sample mean. True or False? If a variable is distributed Normally, the sample means are Normally distributed, even if the sample is small. True or False? If a variable is NOT distributed Normally, the sample means are never...
When constructing a confidence interval estimate for a population mean​ (when the standard deviation of the...
When constructing a confidence interval estimate for a population mean​ (when the standard deviation of the population is​ known), what is the calculation that has to be made to obtain the error​ margin? A. You multiply the number of standard deviations by the standard deviation of the sampling distribution of sample means. B. You subtract the sample mean from the population mean and then divide by the standard deviation of the population. C. You divide the standard deviation of the...
A sample of size 81 is taken from a population with unknown mean and standard deviation...
A sample of size 81 is taken from a population with unknown mean and standard deviation 4.5.   In a test of H0: μ = 5 vs. Ha: μ < 5, if the sample mean was 4, which of the following is true? (i) We would reject the null hypothesis at α = 0.01. (ii) We would reject the null hypothesis at α = 0.05. (iii) We would reject the null hypothesis at α = 0.10. only (i)   only (iii)   both...
Q.6. (a) A random sample is drawn from a population with a known standard deviation of...
Q.6. (a) A random sample is drawn from a population with a known standard deviation of 2.0. Find the standard error (SE) of the sample mean if the sample size is (i) 16, (ii) 36, (iii) 81. (b) If the size of sample is 36 and the standard error of the mean is 2, what should be the size of the sample if the standard error is reduced to 1.2? solve the above problem step by step in proper format
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 40 business​ days, the mean closing price of a certain stock was ​$122.05. Assume the population standard deviation is ​$10.53.
the means the population standard deviation of the 6 values with a population mean of 8...
the means the population standard deviation of the 6 values with a population mean of 8 should be 3, complete the population data set 5, 5 , 11, ,11 when would this anwser be anwered
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 69 ​dates, the mean record high daily temperature in a certain city has a mean of 82.66degreesF. Assume the population standard deviation is 13.52degreesF.
A population has a mean of 75 and a standard deviation of 27. Find the mean...
A population has a mean of 75 and a standard deviation of 27. Find the mean and standard deviation of a sampling distribution of sample means with sample size of 81.
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 60 home theater systems has a mean price of ​$147.00. Assume the population standard deviation is ​$19.40. Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT