Estimation of Parameters

A point estimate of a population consists of how many numbers?

• 1

• 2

• 10

• infinite

Which statement is true?

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

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

• Statement A only

• Statement B only

• Statements A and B

• Neither A nor B

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

A property of a point estimator that occurs whenever a large sample sizes tend to provide point estimates closer to the population parameter

• efficiency

• unbiased

• consistency

• relative estimation

A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the population standard deviation of the contents is 0.22 ounces. In this problem, the 4 ounces is?

• A parameter

• A statistic

• The standard error of the mean

• The average content of colognes in the long run

When a 99% confidence interval is calculated instead of a 95% confidence interval with n being the same, the maximum error of estimate will be?

• smaller

• larger

• the same

• not be determined

Given the information that  $n=60$    $\sigma=0.25$ , and  $xbar\ =\ 25$  , 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

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20.

What is the best point estimate of the true average score in this standardized mathematics test?

• 20

• 78

• 95

• 100

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20.

Find the 95% confidence interval estimate for the true average score in mathematics in this standardized test.

• 1.96 to 3.92

• 76 to 80

• 74.08 to 81.92

• 74.80 to 81.29