Question

determine the minimum sample size required when you want to be 95% confident that the sample...

determine the minimum sample size required when you want to be 95% confident that the sample mean is within 1.4 unites of the population mean. Assume that the population is normally distributed with standard deviation σ = 4.7

1. whats the critical value?

2. whats the margin of error?

3. whats the sample size?

Homework Answers

Answer #1

Solution

standard deviation =   =4.7

Margin of error = E = 1.4

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table ( see the 0.025 value in standard normal (z) table corresponding z value is 1.96 )

sample size = n = [Z/2* / E] 2

n = ( 1.96*4.7 / 1.4 )2

n =43.29

Sample size = n =43

Know the answer?
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
Similar Questions
Determine the minimum sample size required when you want to be 95% confident that the sample...
Determine the minimum sample size required when you want to be 95% confident that the sample mean is within 1.2 unites of the population mean. Assume that the population is normally distributed with standard deviation σ = 4.8. 1. The critical value: 1.9600 2. The margin of error: Incorrect. Tries 3/5 Previous Tries 3. The sample size: 62
Determine the minimum sample size required when you want to be 99% confident that the sample...
Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the population mean. Assume a population standard deviation of 1.4 in a normally distributed population. 53 52 30 31
Determine the minimum sample size required when you want to be 95​% confident that the sample...
Determine the minimum sample size required when you want to be 95​% confident that the sample mean is within one unit of the population mean and sigma=19.1. Assume the population is normally distributed. A 95 % confidence level requires a sample size of __
Determine the minimum sample size required when you want to be 95​% confident that the sample...
Determine the minimum sample size required when you want to be 95​% confident that the sample mean is within one unit of the population mean and sigmaequals13.7. Assume the population is normally distributed. A 95 % confidence level requires a sample size of nothing. ​(Round up to the nearest whole number as​ needed.)
Determine the minimum sample size required when you want to be 90% confident that the sample...
Determine the minimum sample size required when you want to be 90% confident that the sample mean is within one unit of the population mean and sigma=16.7. Assume the population is normally distributed.
(CO6) Determine the minimum sample size required when you want to be 75% confident that the...
(CO6) Determine the minimum sample size required when you want to be 75% confident that the sample mean is within fifteen units of the population mean. Assume a population standard deviation of 327.8 in a normally distributed population 1293 785 632 1835 (CO6) Market research indicates that a new product has the potential to make the company an additional $3.8 million, with a standard deviation of $1.7 million. If this estimate was based on a sample of 10 customers from...
Assume that a population data is normally distributed with standard deviation of 1.4. Determine the minimum...
Assume that a population data is normally distributed with standard deviation of 1.4. Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean.
If you want to be 95% confident when estimating the population mean to within a sampling...
If you want to be 95% confident when estimating the population mean to within a sampling error of ± 20 and the standard deviation is assumed to be 100, what sample size is required?
If you want to be 95​% confident of estimating the population mean to within a sampling...
If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus ± 35 and the standard deviation is assumed to be 175​, what sample size is​ required?
If you want to be 95​% confident of estimating the population mean to within a sampling...
If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus 6 and the standard deviation is assumed to be 20​, what sample size is​ required? The sample size required is __ ​(Round up to the nearest​ integer.)