Question

In: Statistics and Probability

Calculate and interpret the margin of error with the sample of 22, confidence 85% and the...

Calculate and interpret the margin of error with the sample of 22, confidence 85% and the sample standard deviation 4.

Solutions

Expert Solution

ANSWER:

Given data,

Calculate and interpret the margin of error with the sample of 22, confidence 85% and the sample standard deviation 4.

Sample size = n = 22

Sample standard deviation = s = 4

c = 85% = 85/100 = 0.85

= 1-c = 1-0.85 = 0.15

/2 = 0.15/2 = 0.075

Degree of freedom = df = n-1 = 22-1 = 21

Critical value = = = 1.494194

Margin of Error :

ME = * (s/sqrt(n))

ME = 1.494194 * (4/sqrt(22))

ME =1.2742529

ME =1.2743 (Rounded to four decimal places)

--------------------------------------------------------------------The End ------------------------------------------------------------------------

If you have any doubt please ask me friend and if you are satisfied with my solution please give me thumb up.


Related Solutions

Determine the margin of error for a confidence interval to estimate the population mean with n=22...
Determine the margin of error for a confidence interval to estimate the population mean with n=22 and s​ =14.4 for the confidence levels below a. 80% b.90% c. 99% The margin of error for an 80​% confidence interval is_______? repeat for 90% and 99%
Calculate the margin of error and construct the confidence interval for the population mean using the...
Calculate the margin of error and construct the confidence interval for the population mean using the Student's t-distribution (you may assume the population data is normally distributed). T-Distribution Table a.  x̄ =87.3, n=64, s=19.6, x̄ =87.3, n=64, s=19.6, 98% confidence E=E= Round to two decimal places   <  μ  <  <  μ  <   Round to two decimal places b.  x̄ =31.6, n=44, s=14.6, x̄ =31.6, n=44, s=14.6, 90% confidence E=E= Round to two decimal places   <  μ  <  <  μ  <   Round to two decimal places Please provide correct answers. thanks
Calculate the margin of error and construct a confidence interval for the population proportion using the...
Calculate the margin of error and construct a confidence interval for the population proportion using the normal approximation to the  p̂  p̂ -distribution (if it is appropriate to do so). Standard Normal Distribution Table a.  p̂ =0.9, n=160,  α =0.2 p̂ =0.9, n=160,  α =0.2 E=E= Round to four decimal places Enter 0 if normal approximation cannot be used   < p <  < p <   Round to four decimal places Enter 0 if normal approximation cannot be used b.  p̂ =0.45, n=140,  α =0.2 p̂ =0.45, n=140,  α =0.2...
A random sample of 100 observations yields a confidence interval with a margin of error of...
A random sample of 100 observations yields a confidence interval with a margin of error of 60. In a new study we would like to estimate the same population parameter with a margin of error of 30 (half of the old margin of error). How many observations should we sample for this new study?
Use the indicated margin of error, the confidence level, and the population standard deviation to calculate...
Use the indicated margin of error, the confidence level, and the population standard deviation to calculate the minimum sample size required to estimate an unknown population mean. a) Error margin: 0.5 inch, confidence level: 95%, Standard deviation: 2.5 inch. b) margin of error: 0.25 seconds, confidence level: 99%, standard deviation: 5.4 seconds. c) Margin of error: $ 1, confidence level: 99%, standard deviation: $ 12. d) Margin of error: 1.5 mm, confidence level: 95%, standard deviation: 8.7 mm
Find the sample size needed to give, with 99% confidence a margin of error within +/-...
Find the sample size needed to give, with 99% confidence a margin of error within +/- 5 σ = 80 n = ____ σ = 30 n =____ σ =10 n = _____
find the sample size needed to give with 99% confidence a margin of error of plus...
find the sample size needed to give with 99% confidence a margin of error of plus or minus 5% when estimating proportion within plus minus 4% within plus minus 1%
a. Calculate the following example’s Margin of Error and confidence interval (show your work for possibility...
a. Calculate the following example’s Margin of Error and confidence interval (show your work for possibility or partial credit) 200 laboratory sample orders were reviewed and it was determined that the mean turnaround time was 55.6 minutes for reporting the results to the physician. The turnaround times were normally distributed and showed a sample standard deviation of 5.2 minutes. The researcher s would like to construct a 90% confidence interval. Calculate the 90% confidence interval: b. Explain in statistical terms,...
Find the point estimate, the standard error, and the margin of error for the given confidence...
Find the point estimate, the standard error, and the margin of error for the given confidence level and values of x and n. x=45, n=97, confidence level 95% (a) Find the point estimate. (b) Find the standard error. (c) Find the margin of error.
1) If we are given a confidence interval, how do we know the margin of error that was used to calculate the confidence interval?
1) If we are given a confidence interval, how do we know the margin of error that was used to calculate the confidence interval? You may explain and then provide an example. 2) What is the best way to make a confidence interval more precise, while preserving accuracy? How do we see this in the formula for margin of error?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT