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In 2017 Pew Research Center polled 3930 adults in the United States and found that \(43 \%\) reported playing video games often on some kind of electronic device. a. Identify the population and the sample. b. What is the parameter of interest? What is the statistic?

Bob Ross hosted a weekly television show, The Joy of Painting, on PBS in which he taught viewers how to paint. During each episode, he produced a complete painting while teaching viewers how they could produce a similar painting. Ross completed 30,000 paintings in his lifetime. Although it was an art instruction show, PBS estimated that only \(10 \%\) of viewers painted along with Ross during his show based on surveys of viewers. For each of the following, also identify the population and explain your choice. a. Is the number 30,000 a parameter or a statistic? b. Is the number \(10 \%\) a parameter or a statistic?

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.

Two symbols are used for the mean: \(\mu\) and \(\bar{x}\). a. Which represents a parameter, and which a statistic? b. In determining the mean age of all students at your school, you survey 30 students and find the mean of their ages. Is this mean \(\bar{x}\) or \(\mu\) ?

Two symbols are used for the standard deviation: \(\sigma\) and s. a. Which represents a parameter, and which represents a statistic? b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was \(13.9\) minutes. Is this standard deviation \(\sigma\) or s?

The standard deviation of all professional NBA basketball players is \(29.9\) pounds. A sample of 50 professional basketball players has a standard deviation of \(26.7\) pounds. which number is \(\sigma\), and which number is \(s ?\)

The city of San Francisco provides an open data set of commercial building energy use. Each row of the data set represents a commercial building. A sample of 100 buildings from the data set had a mean floor area of 32,470 square feet. Of the sample, \(28 \%\) were office buildings. a. What is the correct notation for the value 32,470 ? b. What is the correct notation for the value \(28 \%\) ?

Chapman University conducts an annual Survey of American Fears. One of the objectives of this survey is to collect annual data on the fears, worries, and concerns of Americans. In 2017 the survey sampled 1207 participants. One of the survey findings was that \(16 \%\) believe that Bigfoot is a real creature. Identify the sample and population. Is the value \(16 \%\) a parameter or a statistic? What symbol would be use for this value?

The Centers for Disease Control and Prevention (CDC) conducts an annual Youth Risk Behavior Survey, surveying over 15,000 high school students. The 2015 survey reported that, while cigarette use among high school youth had declined to its lowest levels, \(24 \%\) of those surveyed reported using e-cigarettes. Identify the sample and population. Is the value \(24 \%\) a parameter or a statistic? What symbol would we use for this value?

Explain the difference between sampling with replacement and sampling without replacement. Suppose you have the names of 10 students, each written on a 3 -inch by 5 -inch notecard, and want to select two names. Describe both procedures.