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Suppose that you have obtained data by taking a random sample from population. Before performing statistical inference what should you do? Discuss the relationship between the margin of error and the standard error of the mean.

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Suppose a random sample of size 10 was taken from a normally distributed population, and the sample standard deviation was calculated to be s = 5.2.

 

a)  Calculate the margin of error for a 95% confidence interval for the population mean.

 

Give your response to at least 3 decimal places.

   

 

 

b)  Calculate the margin of error for a 90% confidence interval for the population mean.

 

Give your response to at least 3 decimal places.

 

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is 15 .

a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place.
( ,  )

b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places.
( ,  )

c. What is the effect of a larger sample size on the interval estimate?

Larger sample provides a  margin of error.
 

a simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is  15.

  1. Compute the 95% confidence interval for the population mean.

  2. Assume that the same sample mean was obtained from a sample of 120 items. Provide

    a 95% confidence interval for the population mean.

  3. What is the effect of a larger sample size on the interval estimate?

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