Question

Consider the following two confidence intervals for µ from a normal sample. (13.8,16.2), (13.5,16.5) (a) What...

Consider the following two confidence intervals for µ from a normal sample.
(13.8,16.2), (13.5,16.5)
(a) What is the value of the sample mean used to construct these CIs? (b) The confidence level for one of the intervals is 95% and for the other it is 99%. Which is which, and how can you tell? (c) Consider: z0.025 = 2 and z0.005 = 2.5. We know that the sample size n = 100. Based on b), calculate the standard deviation.

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

Homework Answers

Answer #1

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
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...
8. A random sample is obtained from a normal population with a mean of µ =...
8. A random sample is obtained from a normal population with a mean of µ = 80 and a standard deviation of σ = 8. Which of the following outcomes is more likely? Explain your answer.           A. A sample mean greater than 86 for a sample of n = 4 scores.           B. A sample mean greater than 84 for a sample of n = 16 scores. 9. The distribution of SAT scores is normal with a mean of...
A sample data is drawn from a normal population with unknown mean µ and known standard...
A sample data is drawn from a normal population with unknown mean µ and known standard deviation σ = 5. We run the test µ = 125 vs µ < 125 on a sample of size n = 100 with x = 120. Will you be able to reject H0 at the significance level of 5%? A. Yes B. No C. Undecidable, not enough information D. None of the above
A sample of size 20 is drawn from a normal distribution with unknown variance and unknown...
A sample of size 20 is drawn from a normal distribution with unknown variance and unknown mean µ. The sample mean is ¯ x = 1.25 and the sample standard deviation is s = 0.25. The 99% lower confidence bound on µ is A. 1.108 ≤ µ B. 1.120 ≤ µ C. µ ≤ 1.392 D. µ ≤ 1.380
When σ is unknown and the sample is of size n ≥ 30, there are two...
When σ is unknown and the sample is of size n ≥ 30, there are two methods for computing confidence intervals for μ. Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for σ, and then use the...
When σ is unknown and the sample is of size n ≥ 30, there are two...
When σ is unknown and the sample is of size n ≥ 30, there are two methods for computing confidence intervals for μ. Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for σ, and then use the...
a. Compute the 95% and 99% confidence intervals on the mean based on a sample mean...
a. Compute the 95% and 99% confidence intervals on the mean based on a sample mean of 50 and population standard deviation of 10, for a sample of size 15. b. What percent of the 95% confidence intervals would you expect to contain µ? What percent of the 95% confidence intervals would you expect to contain x̅? What percent of the 95% confidence intervals would you expect to contain 50? c. Do you think that the intervals containing µ will...
When ? is unknown and the sample is of size n?30, there are two methods for...
When ? is unknown and the sample is of size n?30, there are two methods for computing confidence intervals for ?. Method 1: Use the Student's t distribution with d.f.= n?1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ? 30, use the sample standard deviation sas an estimate for ?, and then use the standard normal distribution. This method is...
A sample from a Normal distribution with an unknown mean µ and known variance σ =...
A sample from a Normal distribution with an unknown mean µ and known variance σ = 45 was taken with n = 9 samples giving sample mean of ¯ y = 3.6. (a) Construct a Hypothesis test with significance level α = 0.05 to test whether the mean is equal to 0 or it is greater than 0. What can you conclude based on the outcome of the sample? (b) Calculate the power of this test if the true value...
When σ is unknown and the sample is of size n ≥ 30, there are two...
When σ is unknown and the sample is of size n ≥ 30, there are two methods for computing confidence intervals for μ. Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for σ, and then use the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT