Question

When calculating the confidence interval, should the t or z method be used? It seems like...

When calculating the confidence interval, should the t or z method be used? It seems like it would be the t method to me because there is no given population standard deviation but I'm not sure. In the case that it is t method would it be two-sided?

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

Homework Answers

Answer #1

Yes, When the population standard deviation is not known (that is not given) then have to use t-method that is t interval and the confidence interval is two sided so it does not matter.

And when the population standard deviation is known then have to use z method that is z confidence interval.

These above criteria are for finding the confidence interval for the population mean.

And suppose we need to find the confidence interval for population proportion then have to use z method that is z interval.

The above criteria are for the confidence interval, the same criteria are used in hypothesis testing.

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
In order to find confidence interval for population mean~ a) When to use either t distributon...
In order to find confidence interval for population mean~ a) When to use either t distributon or Z confidence interval ...if not mentioned in data? b)when it is mentioned data is normally distributed c)when mentioned assume population standard deviation ( not just standard deviation ) pls give me more identification tips if any... I will definitely give a reward.
you are calculating a confidence interval for the population mean. Find the critical value t* from...
you are calculating a confidence interval for the population mean. Find the critical value t* from the t-Distribution Critical Values table for each of the following situations A 95% confidence interval based on n = 12 observations. A 99% confidence interval from a sample of two observations. A 90% confidence interval from a sample of size 1001. 2. Suppose you conduct a hypothesis test for the following hypotheses from a sample of n = 25 observations, and you calculate a...
A confidence interval, at the 95% confidence level will be used to answer what the mean...
A confidence interval, at the 95% confidence level will be used to answer what the mean annual salary of a Ford car owner is. Data was collected from 34 Ford car owners across the country. the mean annual salary of the 34 Ford owners was 225000. The standard deviation of all Ford owners is known to be $970. a. The value at the center of the confidence interval represents what? (sample mean, standard dev., population mean, or sample size) b....
We use Student’s t distribution when creating confidence intervals for the mean when the population standard...
We use Student’s t distribution when creating confidence intervals for the mean when the population standard deviation is unknown because.... We are estimating two parameters from the data and wish to have a wider confidence interval The central limit theorem does not apply in this case We do not want a confidence interval that is symmetric about the sample mean We have greater certainty of our estimate
True or False: 1. A confidence interval is used for estimating a population parameter. 2. A...
True or False: 1. A confidence interval is used for estimating a population parameter. 2. A confidence interval always captures the sample statistic. 3. A confidence interval always captures the population parameter. 4. When constructing a confidence intervals we should always use Z-critical values. 5. The margin of error determines the center location of the confidence interval. 6. In general, we would like to have a precise confidence interval while having a high level of confidence.
Find the following critical t-scores used in an 88% confidence interval for a population mean when...
Find the following critical t-scores used in an 88% confidence interval for a population mean when the population’s standard deviation (σσ) is unknown. Give each answer to at least three decimal places. The t-critical value for an 88% confidence interval with sample size 38 is: The t-critical value for an 88% confidence interval with sample size 48 is: The t-critical value for an 88% confidence interval with sample size 64 is: The t-critical value for an 88% confidence interval with...
Confidence Interval Given. Assume I created a 96% confidence interval for the mean hours studied for...
Confidence Interval Given. Assume I created a 96% confidence interval for the mean hours studied for a test based on a random sample of 100 students. The lower bound of this interval was 3 and the upper bound was 16. Assume that when I created this interval I knew the population standard deviation. Using this information, (a) Calculate the width of the interval. (b) Calculate the margin of error for the interval. (c) Calculate the center of the interval. (d)...
1. The confidence intervals for the population proportion are generally based on ________. the t distribution...
1. The confidence intervals for the population proportion are generally based on ________. the t distribution when the population standard deviation is not known the z distribution the t distribution the z distribution when the sample size is very small 2. The difference between the two sample means   1 –   2 is an interval estimator of the difference between two population means μ 1 –  μ 2. True False 3. Excel does not have a special function that allows to calculate  t values. True...
Use the standard normal distribution or the​ t-distribution to construct a 95% confidence interval for the...
Use the standard normal distribution or the​ t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results. In a random sample of fortyone ​people, the mean body mass index​ (BMI) was 27.7 and the standard deviation was 6.24 Which distribution should be used to construct the confidence​ interval? Choose the correct answer below. (Use a t-distribution because the sample is random n>=30, and o is...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT