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.

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

The average rate of change over the given time interval is the difference quotient , so for this value to be zero, it must be the case that , i.e. the same number of tickets were sold on the 4th day as on the 10th day.