Question

Sample Size for 90% CL, E = 2.1 and σ = 19

Sample Size for 90% CL, E = 2.1 and σ = 19

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

Homework Answers

Answer #1

Solution :

Given that,

standard deviation = = 19

margin of error = E = 2.1

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

Sample size = n = ((Z/2 * ) / E)2

= ((1.645 * 19) / 2.1)2

= 221.51 = 222  

Sample size = 222

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
Determine the sample size for the estimate of for the following. E = 5.55 , σ...
Determine the sample size for the estimate of for the following. E = 5.55 , σ = 18.22 , confidence level = 90 % . Round your answer up to the nearest whole number.
Determine the sample size necessary under the following conditions. a. To estimate μ with σ =...
Determine the sample size necessary under the following conditions. a. To estimate μ with σ = 44, E = 3, and 95% confidence b. To estimate μ with a range of values from 20 to 88 with E = 2 and 90% confidence c. To estimate p with p unknown, E = .04, and 98% confidence d. To estimate p with E = .03, 95% confidence, and p thought to be approximately .70
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...
Suppose x has a distribution with μ = 19 and σ = 15. (a) If a...
Suppose x has a distribution with μ = 19 and σ = 15. (a) If a random sample of size n = 48 is drawn, find μx, σ x and P(19 ≤ x ≤ 21). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (b) If a random sample of size n = 58 is drawn, find μx, σ x and P(19 ≤ x ≤...
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 population has mean μ = 19 and standard deviation σ = 5. A random sample...
A population has mean μ = 19 and standard deviation σ = 5. A random sample of size n = 64 is selected. What is the probability that the sample mean is less than 18?
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...
Is there a minimum sample size that must be used? What is the minimum sample size?...
Is there a minimum sample size that must be used? What is the minimum sample size? What might be an advantage to collecting a sample larger than the minimum sample size? p = .4028 n= 72 cl= .95 E= .11329
A simple random sample of size n =19 is drawn from a population that is normally...
A simple random sample of size n =19 is drawn from a population that is normally distributed with σ=16. The sample mean is found to be x overbar = 65. Construct a 95​% confidence interval about the population mean.
a.) Given a normal distribution with σ = 0.380. Find the required sample size for a...
a.) Given a normal distribution with σ = 0.380. Find the required sample size for a 95% confidence level (estimating the mean), given a margin-of-error of 6%. b.) Given the sample results taken from a normal population distribution: mean = 4.65, σ = 0.32, and n = 17. For a 99% confidence interval, find the margin-of-error for the population mean. (use 2 decimal places) c.) Given the sample results taken from a normal population distribution: mean = 1.25, σ =...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT