Applied Statistics Challenge 1.2

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Applied Statistics Challenge 1.2 1. Sampling A researcher is interested in researching weekly earnings in large cities across the country. A survey was conducted among 100 residents in a city to determine their weekly earnings. Which statement is true? a.) The surveyed residents are the sample. b.) The residents in the city are the sample. c.) The residents in the city are the population. d.) The surveyed residents are the population. A dealership is trying to understand its customers better. A survey was conducted among 100 customers to determine their favorite color for a sedan. Which statement is true? a.) The 100 people surveyed represent the sample. b.) All people who purchased a car from the car dealer last year represent the population. c.) All people who purchased a car from the car dealer represent the sample. d.) The 100 people surveyed represent the population. 2- Random & Probability Sampling Which of these random samples qualifies as a representative sample if studying the opinion of the attendees to a business seminar? a.) 35 people from the company that organized the seminar b.) 35 people who spoke at the seminar c.)
35 people who attended the seminar d.) 35 people whose businesses are related to the topics discussed at the seminar c.) Correct. For the sample to be representative, it should be regarding those who attended the seminar since the purpose of the study is to understand the opinion of those who attended the seminar. So the 35 people whose opinions are gathered and who attended the seminar are a representative sample. 3 — Simple Random and Systematic Random Sampling Which of these is an example of systematic random sample? a.) Picking out the telephone number of every 20th person from a directory. b.) Picking out 10 names from a group of 50 students. c.) Selecting one card from a deck of 52 well-shuffled cards. d.) Choosing 10 marbles from a jar containing 40 marbles. Which of these is an example of a systematic random sample? a.) Picking out 10 names from a bag containing names of 50 students. b.) Selecting every 20th person in a line of 200 moviegoers. c.) Selecting 4 balls from a bag containing 20 balls.
d.) Selecting all the students in a class of 30. 4 — Stratified Random and Cluster Sampling Which of these statements best explains cluster sampling? a.) The cluster sampling method is a combination of random sampling techniques. b.) In the cluster sampling method, population is broken into groups and then elements are randomly selected in proportion from each group. c.) In the cluster sampling method, total population is roughly divided into groups based on location and a simple random sample of the groups is taken. d.) In the cluster sampling method, elements are randomly selected from the total population. 5 — Multi-Stage Sampling Which of these is an example of multi-stage sampling? a.) Choosing New York as a sample, then selecting a sample of zip codes within New York, then sampling the names of people living in those zip codes. b.) Dividing the population of New York into groups and then making simple random samples from those groups. c.) Dividing the total population of New York into groups and then selecting people in proportion from these groups. d.) Randomly selecting elements from the entire population of New York
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