Estimation of Parameters

Estimation is a procedure where a numerical value or values are assigned to the population parameter based on the information collected from a sample. it is also a procedure where numerical value or values are assigned to the sample statistic based on the information collected from a sample.

• The first statement is true, the second statement is false.

• The first statement is false, the second statement is true.

• Both statements are true.

• Both statements are false.

Answer explanation

The first statement is true, the second statement is false.

What is a point estimate?

• Average of sample values

• Average of population values

• A single value that represents the unknown sample statistic.

• A single value that represents the unknown population parameter.

It refers to a range of values that contains the parameter value.

• Confidence limit     

• Confidence interval

• Confidence coefficient

• Confidence level

It is a property of a point estimator that occurs whenever large sample sizes tend to provide point estimates which is closer to the population parameter.

• Consistency

• Efficiency

• Relative estimation

• Unbiased

Given these information: sample size of 60, population standard deviation of 0.25 and the sample mean which is 25, find the 95% confidence interval of the population mean.

• 64.94 to 65.06

• 64.92 to 65.08

• 24.94 to 25.06

• 24.92 to 25.08

What is the t-value associated with 90% confidence and with the sample size of 15?

• 1.341

• 1.345

• 1.761

• 1.783

If the margin of error of a population proportion is 6%, what is the length of the confidence interval?

• 11%

• 12%

• 13%

• None

If the length of the confidence interval of a population mean is 7.84, what is the margin of error E?

• 3.92

• 4

• 4.06

• None

Which of the following changes in a study would result in a narrower confidence interval?

• Increasing the confidence level, increasing the sample size

• Decreasing the confidence level, decreasing the sample size

• Increasing the confidence level, decreasing the sample size

• Decreasing the confidence level, increasing the sample size

With these given data: 95% confidence level, margin of error E of 10%, population standard deviation of 24, find the sample size.

• 62

• 65

• 70

• 79