Exploring Data 1- A researcher wants to measure physical height in as much detail as possible. Which level of measurement does s/he employ? Explain your answer. 2- Ten students completed an exam....

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Exploring Data 1- A researcher wants to measure physical height in as much detail as possible. Which level of measurement does s/he employ? Explain your answer.  2- Ten students completed an exam. Their scores were: 5, 7, 2, 1, 3, 4, 8, 8, 6, 6. What is the interquartile range (IQR)?  3- You conduct a study on eye color, and you question 550 people. 110 of them have brown eyes and 44% of them have blue eyes. What percentage of the people you questioned has blue or brown eyes? 4- The city mileages of 12 gasoline-powered midsize cars are: 18,15,16,19, 20,21,22,21,24,21,27,20. (a) Find if there are any outliers. (b) Find the five-number summary. That is max and min which are not outliers, first and third quartiles and Median. (c) Graph the boxplot. 5- A researcher wants to know what people in New York think of football. He asks ten people to rate their attitude towards football on a scale from 0 (do not like football at all) to 10 (like football a lot). The ratings are as follows: 1, 10, 6, 9, 2, 5, 6, 6, 5, 10. What is the standard deviation?  3- For each of the following, determine whether the group is a sample or a population. a. The participants in a study of a new cholesterol drug. b. The drivers who received a speeding ticket in Kansas City last month. c. People on welfare in Cook County (Chicago), Illinois. d. The 30 stocks that make up the Dow Jones Industrial Average. Probability 1- Imagine you're at the beach. You are thirsty and decide to go to a beach stand to get some coke. When you arrive, you see there is a queue consisting of two girls and one boy. Unfortunately, the stand has only one coke left. You've learned that three in ten girls drink coke and 60 percent of boys drink coke. How likely is it that you will get the coke? 2- Twenty people take a statistics exam. Jonas scored five out of ten and Emma scored eight out of ten. Every score (1 to 10) is equally likely. What is the chance of a random person out of the people that took the exam scoring higher than Jonas, but lower than Emma? 3- You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. You decide to draw 5 balls from the pot without replacement (i.e. you don't put a ball back in the pot once it has been taken out). What is the probability of drawing five blue balls? (Give your answer to 3 decimal places).  4- A 52-card deck contains 13 cards from each of the four suits: clubs ♣, diamonds ♦, hearts ♥, and spades ♠. You deal four cards without replacement from a well shuffled deck. What is the probability that all 4 cards are clubs? 5- (a) How many different initials can be formed with 3 letters of the English alphabet? (b) How large must be the alphabet be in order that one million people can be identified by 3- letter initials. 6- (a) In how many ways can a committee of three be chosen from 20m people? (b) In how many ways can a president, a secretary and a treasurer be chosen? 7- If six dice are rolled, what is the probability that all show different faces? 8- Imagine you are at the beach. You are thirsty and decide to go to a beach stand to get some coke. When you arrive, you see there is a queue consisting of two girls and one boy. Unfortunately, the stand has only one coke left. You have learned that three in ten girls drink coke and 60 percent of boys’ drink coke. 9- You ask a couple of people at the beach what they think about the seagulls. You propose them the statement: Seagulls are annoying. Their responses are as follows:   20% strongly agree, 13% agree, 12% neutral, 50% disagree, 5% strongly disagree.  What is the chance of a random person responding with 'agree' given that he/she is not neutral?  9- The chance that the front light on your bike will fail is 0.2, the chance that your rear light will fail is 0.1 and the chance that both will fail is 0.04. What is the chance that both lights will work? (Give your answer to two decimal places.)  10- The following table shows the activities in a YMCA club.      Swimming  Basketball  Soccer  Total  Kids  120  40  60  220  Adults  100  20  30  150  Total  220  60  90  370      Find the following probabilities: (15 points)      a. P(person is an adult|person is swimming               b. P(person is swimming|person is an adult),      c. P(person is playing soccer| person is a kid).