31 August, 06:21

# In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic. a. There are 100 senators in the 114th Congress, and 54% of them are Republicans. b. The 54% here is a In a 2011 Gallup poll of 1008 adults living in the United States, 11% said they are satisfied with the condition of the national economy. c. The 11% here is a A survey of hospital records in 120 hospitals throughout the world shows the mean height of 180 cm for adult males. d. The mean height of 180 cm 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. e. The 44.6 pounds is a In a random sample of households in the United States, it is found that 51% of the sampled households have at least one high‑definition television.

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1. 31 August, 09:50
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a) Parameter

b) Statistic

c) Statistic

d) Parameter

e) Statistic

Step-by-step explanation:

For this case we need to remmber that a parameter describe a population of interest is fixed and not changes, and a statistic is a value that describe the sample size selected and can change between samples.

a. There are 100 senators in the 114th Congress, and 54% of them are Republicans.

The 54% here is a parameter since represent the proportion for all the population of interest on this case.

b. In a 2011 Gallup poll of 1008 adults living in the United States, 11% said they are satisfied with the condition of the national economy.

The 11% here is a statistic since we have a random sample and from this sample we calculate the proportion of interest for this case.

c. A survey of hospital records in 120 hospitals throughout the world shows the mean height of 180 cm for adult males.

The mean height of 180 cm is a statistic since we have a survey not all the population of interest

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.

The 44.6 pounds is a parameter since we are interested on all the possible players and we have the info for all of them

e. In a random sample of households in the United States, it is found that 51% of the sampled households have at least one high‑definition television.

The 51% here is a statistic since we have a result from a sample not from the population