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Chapter 7: Problem 4

The website scholarshipstats.com collected data on all 5341 NCAA basketball players for the 2017 season and found a mean height of 77 inches. Is the number 77 a parameter or a statistic? Also identify the population and explain your choice.

Short Answer

Expert verified
Number 77 in this context is a parameter because it describes a characteristic, in this case, the average height of the entire population of interest. That population is all the NCAA basketball players in the 2017 season.

Step by step solution

01

Understand the context

We first need to understand the context of the problem. We have data from a website that collected information on all 5,341 NCAA basketball players for the 2017 season. The mean (average) height of these players was found to be 77 inches.
02

Define 'Parameter' and 'Statistic'

A parameter is a numerical measurement that describes a characteristic of a population. In other words, when data is collected from every member of the population, what we calculate from this data are parameters. Conversely, a statistic is a numerical measurement describing a characteristic of a sample (a subset of the population). In the instance where data is collected from a smaller group (a sample), what we calculate from this data are statistics.
03

Identify Parameter or Statistic

The mean height of 77 inches was calculated from data that included all NCAA basketball players for the 2017 season - it's a complete set of data from that population. Therefore, the number 77 is a parameter as it is a numerical measure that describes the characteristic (height) of the entire population (all NCAA basketball players for the 2017 season).
04

Identify the Population

The population in this research study is the complete set of individuals (or objects) that we are interested in. In this case, since the website collected data for all the NCAA basketball players for the season of 2017, the population here would be all the NCAA basketball players for the 2017 season.

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Most popular questions from this chapter

A recent Monmouth University poll found that 675 out of 1008 randomly selected people in the United States felt that college and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for using the CLT were met, use the Minitab output provided to answer these questions. $$\begin{aligned}&\text { Descriptive Statistics }\\\&\begin{array}{rrrr}\mathrm{N} & \text { Event } & \text { Sample p } & 95 \% \mathrm{Cl} \text { for } \mathrm{p} \\\\\hline 1008 & 675 & 0.669643 & (0.639648,0.698643)\end{array}\end{aligned}$$ a. Complete this sentence: I am \(95 \%\) confident that the population proportion believing that colleges and universities with big sports programs place too much emphasis on athletics over academics is between _____ and _______. Report each number as a percentage rounded to one decimal place. b. Suppose a sports blogger wrote an article claiming that the majority of Americans believe that colleges and university with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning.

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Is simple random sampling usually done with or without replacement?

Ondansetron (Zofran) is a drug used by some pregnant women for nausea. There was some concern that it might cause trouble with pregnancies. An observational study was done of women in Denmark (Pasternak et al. 2013). An analysis of 1849 exposed women and 7376 unexposed women showed that \(2.1 \%\) of the women exposed to ondansetron and \(5.8 \%\) of the unexposed women had miscarriages during weeks 7 to 22 of their pregnancies. a. Was the rate of miscarriages higher with Zofron, as feared? b. Which of the conditions for finding the confidence interval do not hold?

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