In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.

a. There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a
b. In 1936, Literary Digest polled 2.3 million adults in the United States, and 57% of them said they would vote for Alf Landon for the Presidency.
c. The 57% here is a The survey results from 75 local elementary schools show the mean weight of 41 lbs for four-year-old children. The mean weight of 41 lbs is a The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds.
d. The 44.6 pounds is a In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a

a. There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a

Parameter, since we have the information about all the presidents, so then we know the population of interest.

b. In 1936, Literary Digest polled 2.3 million adults in the United States, and 57% of them said they would vote for Alf Landon for the Presidency.

Statistic, the proportion 0.57 or 57% is an estimation for the true proportion calculated from the sample selected.

c.The survey results from 75 local elementary schools show the mean weight of 41 lbs for four-year-old children. The mean weight of 41 lbs is a

Statistic, the calculated mean comes from a sample size selected and not represent the entire population.

d.The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds.

Parameters since the mean and deviation calculated from the roster team represent the entire population of interest.

e. The 44.6 pounds is a In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a

Statistic. The proportion calculated from the sample 0.34 or 34% represent a statistic since is not calculated with all the values for the population of interest.

Step-by-step explanation:

Previous concepts

Parameter is a quantity who represent a population of interest for example the population mean or the population proportion p

Statistic is a quantity who represent a sample, and is useful in order to apply inference about the population of interest, for example the sample mean .

With these two definitions we can answer the questions for this case:

a. There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a

Parameter, since we have the information about all the presidents, so then we know the population of interest.

b. In 1936, Literary Digest polled 2.3 million adults in the United States, and 57% of them said they would vote for Alf Landon for the Presidency.

Statistic, the proportion 0.57 or 57% is an estimation for the true proportion calculated from the sample selected.

c.The survey results from 75 local elementary schools show the mean weight of 41 lbs for four-year-old children. The mean weight of 41 lbs is a

Statistic, the calculated mean comes from a sample size selected and not represent the entire population.

d.The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds.

Parameters since the mean and deviation calculated from the roster team represent the entire population of interest.

e. The 44.6 pounds is a In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a

Statistic. The proportion calculated from the sample 0.34 or 34% represent a statistic since is not calculated with all the values for the population of interest.

fwms@lil_ben06

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