Question

Question3: Consider the following 11 independent measurements from a normal distribution: Independent measurements 12 21 20...

Question3: Consider the following 11 independent measurements from a normal distribution:

Independent measurements
12 21 20 11 13 9 15 16 17 20 18

1. What is the standard error of the sample mean?

2. Calculate a 99% confidence interval for the population mean.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The statistical software output for this problem is :

One sample T confidence interval:
μ : Mean of variable

95.9% confidence interval results:

Variable Sample Mean Std. Err. DF L. Limit U. Limit
Data 15.636364 1.2080994 10 12.803567 18.46916

Standard error = 1.2081

A 99% confidence interval for the population mean is : (12.8036 , 1804692)

Add a comment
Know the answer?
Add Answer to:
Question3: Consider the following 11 independent measurements from a normal distribution: Independent measurements 12 21 20...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1) Calculate a 95% and 99% confidence interval for the following data set. Note: this is...

    1) Calculate a 95% and 99% confidence interval for the following data set. Note: this is a sample. Show your steps including the mean, z-score, standard deviation, and standard error that you use. Use the data set listed below.   12 10 18 16 11 10 9 17 6 13 10 20 21 24 18 17 19 12 11 10

  • 12 and 13 12. Using a normal distribution and z score formula answer the following questions:...

    12 and 13 12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve. 13. This question is...

  • For the following data: 1 2 3 4 5 6 16 20 18 17 18 21...

    For the following data: 1 2 3 4 5 6 16 20 18 17 18 21 a. Calculate the sample mean and sample variance b. Calculate the probability that the population mean is between 9 and 10 if the population standard deviation is known to be 2.3. What is the 95% confidence interval for the population mean if the population standard deviation is known to be 2.3? d. Calculate the 95% confidence interval using the sample standard deviation. c.

  • 12-13 show work 12. Using a normal distribution and z score formula answer the following questions:...

    12-13 show work 12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve. 13. This question is...

  • Let the following sample of 8 observations be drawn from a normal population with unknown mean...

    Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 21, 20, 25, 18, 28, 19, 13, 22. [You may find it useful to reference the t table.] a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) b. Construct the 90% confidence interval for the population...

  • 5. The following random sample was selected from a normal distribution: 5 20 18 3 10...

    5. The following random sample was selected from a normal distribution: 5 20 18 3 10 2 6 9 19 13 a) Construct a 90% confidence interval for the population mean μ: SHS b) Construct a 95% confidence interval for the population mean :

  • The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 6, 5

    The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 6, 5 a. What is the point estimate of the population mean? b. What is the point estimate of the population standard deviation (to 2 decimals)? c. With 95% confidence, what is the margin of error for the estimation of the population mean (to 1 decimal)? d. What is the 95% confidence interval for the population mean (to 1 decimal)?

  • 12. Using a normal distribution and z score formula answer the following questions: a. Find the...

    12. Using a normal distribution and z score formula answer the following questions: a. Find the Z-score that cuts off the top 35% of the nornval curve b. Find the data value to the nearest whole number that cuts off the bottom 20% of the curve given that the mean is 75 and sample standard deviation is 5. c. Find the z scores that cut off the middle 50% of the normal curve. 13. This question is worth 4 points...

  • An independent random sample is selected from an approximately normal population with an unknown standard deviation....

    An independent random sample is selected from an approximately normal population with an unknown standard deviation. a) Given the sample mean = 24.3, sample standard deviation = 8.5, and sample size = 32, compute the standard error. The standard error = b) Using a confidence coefficient of 2.04, compute the confidence interval. The 95% confidence interval goes from to (Enter the smaller number first.) c) Based on the confidence interval above, which of the following values are plausible? (Choose all...

  • (21) A sample of size 20 is drawn from a normal distribution with unknown variance and...

    (21) A sample of size 20 is drawn from a normal distribution with unknown variance and mean. The sample variance s2 = 0.012. Find a 95% two-sided confidence interval for the standard deviation o of the population. A. [0.0833,0.1600] B. (0.010,0.0130] C. (0.0069,0.0256] D. None of the above

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT