Statistics Review 1

8 September 2022
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14 test answers

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question
A contestant's final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base amount, the contestant randomly selects one of four cards, where two cards are marked $1,000, one card is marked $2,000, and one card is marked $5,000.
answer
0.400
question
A florist wanted to investigate whether a new powder added to the water of cut flowers helps to keep the flowers fresh longer that just water alone. Which of the following is the best description of the method used by the florist?
answer
an experiment with a completely randomized design
question
A large store has a customer service department where customers can go to ask for help with store-related issues. Based on the approximation, what is the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item?
answer
1-(3/4)^4
question
A newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. Which of the following methods will achieve the desired sampling design?
answer
select a random sample for each voting district based on the proportion of city residents in the district so that a total of 500 is obtained
question
A program that was intended to cure a person's fear of spiders was offered at a local zoo. Volunteers with a fear of spiders participated in the program, which included holding a spider for 15 minutes. Based on the description of the program, which of the following statements is true?
answer
because the participants were self-selected, a person's desire to be cured could be a confounding variable
question
A study was conducted to evaluate the impact of taking a nutritional supplement on a person's reaction time. One hundred volunteers were placed into one of three groups according to their athletic ability: low, moderate, high. Which of the following is the best description of the study?
answer
a randomized block design
question
A tropical storm is classified as a major if it has sustained winds greater than 110 per hour. Based on data from the past two decades, a meteorologist estimated the following percentages about future storms. Based on the meteorologist's estimates, approximately what is the probability that a future tropical storm will originate in the pacific ocean and be classified as major?
answer
0.170
question
An agricultural scientist wanted to compare the effect of a new fertilizer to that of three older fertilizers—C, Y, and Z— on the growth of vegetables typically grown in small gardens. Why is the scientist's conclusion not appropriate?
answer
the experiment only included green beans, so the results cannot be generalized to all vegetables
question
I'm a certain school, students can choose whether to eat in the school's cafeteria. A reporter working for the school's newspaper polled students on their reactions to changes in the menu at the cafeteria. Which of the following statements is true?
answer
because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school
question
Publishers of a magazine wish to determine what proportion of the magazine's 50,000 subscribers are pleased with their subscription. The publishers intend to mail a survey to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more. Which of the following would best eliminate selection bias?
answer
mail surveys to 1,000 subscribers randomly selected from all subscribers
question
Researchers wanted to investigate whether babies have a sense of right and wrong. They showed each of 60 babies a puppet show in which a red puppet was trying to open a heavy box lid. Which of the following is the most important reason for the random assignment of color to role in the study?
answer
if the same role is played by the same color puppet, the babies might show a preference for the color instead of a preference for the role.
question
Some contact lens wearers report problems with dryness in their eyes. A study was conducted to evaluate the effectiveness of a new eye-drop solution to relieve dryness for contact lens wearers. Which of the following best explains why the study does not support such a conclusion?
answer
The study had no control group
question
The number of points obtained in one game is independent of the number of points obtained in a second game. If Y represents the sampling distribution of the sum of the scores when the game is played twice, for which value of Y will the probability be greatest?
answer
2
question
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that—. If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
answer
Event A and event B are NOT mutually exclusive and ARE