Question

In: Statistics and Probability

For each description below, identify each underlined number as a parameter or statistic. Use appropriate notation...

For each description below, identify each underlined number as a parameter or statistic. Use appropriate notation to describe each number, e.g., p^ = 0.96.

A) The National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 and the standard deviation is 15. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure for these executives is 126.07.

B) A 1993 survey conducted by the Richmond Times-Dispatch one week before Election Day asked voters which candidate for the state’s attorney general they would vote for. 37% of the respondents said they would vote for the Democratic candidate. On Election Day, 41% actually voted for the Democratic candidate.

Expert Solution

A) For population mean we use the notation .

The National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128

This is the parameter because it is the report of whole population.

Therefore, mean = = 128

Similarly the standard deviation( ) is a parameter

= 15

The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure for these executives is 126.07.

Here the mean is based on the sample of size (n) = 72

Therefore it is sample statistic known as sample mean = = 126.07

B) A 1993 survey conducted by the Richmond Times-Dispatch one week before Election Day asked voters which candidate for the state’s attorney general they would vote for. 37% of the respondents said they would vote for the Democratic candidate. On Election Day, 41% actually voted for the Democratic candidate.

The 37% is based on the survey and it is a statistic.

This is the sample proportion and it is denoted as

Therefore sample proportion = = 0.37

The actual proportion is given as 41% = 0.41, this is a parameter. Because it is actual value of proportion.

Population proportion is denoted as p or

Therefore p = 0.41.

orchestra answered 1 year ago

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