Question

answer true or false to the following statement concerning a confidence interval for a population mean....

answer true or false to the following statement concerning a confidence interval for a population mean. give reasons for your answer. the confidence level can be determined if you know only the margin or error, population standard deviation, and sample size.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

True: We can determine the confidence level if we know margin of error, population standard deviation and sample size.

Let's consider standard deviation ( ), sample size (n) and Margin of error (E).

Then we obtained the z value by using formula

We have to look for this z value in the z table.

From z table we get value of , by multiplying 2 we get level of significance.

Substracting this from 1 we gat confidence level.

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
Suppose you are calculating the minimum sample size required for a confidence interval about a population...
Suppose you are calculating the minimum sample size required for a confidence interval about a population mean and you know σ. Which of the following does not influence the minimum sample size? A. the size of the population B. confidence level C. the acceptable margin of error D. the size of the population standard deviation (σ)
Find the margin of error for a​ 95% confidence interval for estimating the population mean when...
Find the margin of error for a​ 95% confidence interval for estimating the population mean when the sample standard deviation equals 90 with a sample size of​ (i) 484 and​ (ii) 1600 ​(i) Find the margin of error for a​ 95% confidence interval for estimating the population mean when the sample standard deviation equals 90 with a sample size of 484 (ii). ​(ii) Find the margin of error for a​ 95% confidence interval for estimating the population mean when the...
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...
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)...
True or false: 1. When constructing a confidence interval for a sample Mean, the t distribution...
True or false: 1. When constructing a confidence interval for a sample Mean, the t distribution is appropriate whenever the sample size is small. 2. The sampling distribution of X (X-bar) is not always a normal distribution. 3. The reason sample variance has a divisor of n-1 rather than n is that it makes the sample standard deviation an unbiased estimate of the population standard deviation. 4. The error term is the difference between the actual value of the dependent...
Assume that you want to construct a​ 95% confidence interval estimate of a population mean. Find...
Assume that you want to construct a​ 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the​ 95% confidence interval. The sample standard deviation is given below. Margin of errors=​$6​, standard deviation=​$22 The required sample size is __
Assume that you want to construct a 95% confidence interval estimate of a population mean. Find...
Assume that you want to construct a 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the 95% confidence interval. The sample standard deviation is give. E= 20.3 cm, sample standard deviation =321.0 cm. 1201 961 916 Cannot tell from the given information
You have been asked to build a confidence interval of the population mean starting salary for...
You have been asked to build a confidence interval of the population mean starting salary for registered nurses in the United Stats. You already know that the population standard deviation for starting salaries is $7000 per year, and you want a margin of error no greater than plus or minus $1000. What is the minimum sample size that you should gather. If you want to have a level confidence of 95$%?
True or False? To reduce the length of a confidence interval of the population proportion, we...
True or False? To reduce the length of a confidence interval of the population proportion, we can either increase the sample size or decrease the confidence level.
You plan to construct a 99% confidence interval for the mean  of a normal population...
You plan to construct a 99% confidence interval for the mean  of a normal population with (known) standard deviation . By using a sample size of 100 rather than 400, you can change the margin of error by a factor of? Justify. Show work
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT