Introduction to Stats./population”1) Define the terms “population”, “sample,”“parameter,” and “statistic,” and explainhow the terms are related to each other.2) Define the concept of “sampling error.”Mention “statistics” and “parameter”in your answer.3) Explain the difference between descriptive and inferential statistics.4) Name the independent and the dependent variables in each of the examples below:A researcher reports that people who survived one heart attack and were given daily doses of aspirin were significantly less likely to suffer a second heart attack than survivors who did not take aspirin.A recent report concludes that participants on an exercise regimen of running two miles each day had a lower percentage of body fat than participants on no exercise program.A researcher studying the effects of environment on mood asks participants to sit alone in a waiting room for 15 minutes at the beginning of an experiment. Half of the individuals are assigned to a room with dark blue walls. The other half are assigned to a room with bright yellow walls. After 15 minutes each person is brought to the lab and given a mood assessment questionnaire.5) Using the following data set, perform the functions below:X Y3 -24 65 72 1a) SXb) SY + 2c) SXYd)SX2e) (SY)2f) N6) Dr. Jones conducted a study examining the relationship between the quality of breakfast and academic performance for a sample of n = 20 first-grade students. The quality of breakfast was determined by interviewing each child’s parents, and academic performance was measured by each child’s most recent grades. Is this an example of a correlational or an experimental study? Explain your answer.7) The Health Study of Nord-TrÇ¿ndelag County of Norway (HUNT) surveyed more than 60,000 people in a Norwegian county and reported that “people who have gastrointestinal symptoms, such as nausea, are more likely to have anxiety disorders or depression than people who do not have such symptoms.”To what population do these findings generalize? (Choose one: Norway, the County, 60,000 people, or people with G.I. symptoms.) Explain your answer.8) Using the following data set (X), perform the functions below: 1, 5, 0, 4a) SXb) SX2c) S(X+1)d) SX/N9) Discrete variables do not make sense in fractions (such as # of children!). For each of the following examples state whether the variable is discrete or continuous.The capacity, in terms of songs, of an MP3 playerThe playing time of the songsThe number of posted reviews that a CD has on Amazon.comThe weight of MP3 playersName another variable to describe MP3 players, and state whether it is discrete or continuous.List one song in your MP3 player.10) For each of the following examples regarding the Kentucky Derby, identify the scale of measurement identified in the underlined variables. The variable is named for you in parentheses.:Age……..The Kentucky Derby is a stakes race for three-year-old Thoroughbred horses.Weight……Colts and geldings carry 126 pounds (57.2 kg) and fillies 21 pounds (54.9 kg).Order/yr……The first Kentucky Derby was run in 1875.#races………The Kentucky Derby has been run 135 times.Zip code……..The zip code for Churchill Downs (the Kentucky Derby racetrack) is 40208.#people………10,000 people attended the first race.Order……In 2005, Giacomo placed first, Closing Argument placed second, and Afleet Alex came in third.Time, sec…..Giacomo won in 2 minutes, 2.75 seconds.clock…..In 2009, the race started at 6:04 p.m.Money……A dollar bet on Giacomo paid $51.30.Ethnicity….Of the first 28 Kentucky Derby winners, 15 of them were ridden by African American jockeys.Gender…..Three fillies have won the Kentucky Derby. The others were all colts or geldings.Money…..In 2008, Big Brown won the Derby. His winnings totaled $2,000,000.\