UNIT 4 TESTPLEASE DO NOT WRITE ON THIS TEST

Thompson, Spring 2011(unless otherwise directed to do so)

  1. In Salem, 82% of the households have cable television and Internet access and 90% of houses have cable television. What is the probability that a house has Internet access given that is has cable television?

  1. 8%
  2. 67%
  3. 90%
  4. 91%

  1. A 2cm shaded square is painted on a triangle with a base of 6cm and a height of 7cm. A dot will be randomly placed in the triangle. What is the probability that the dot will be placed outside of the square?
  2. 19%
  3. 67%
  4. 81%
  5. 90%

  1. The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the range the closest to the range of the population?
  2. Shift 1
  3. Shift 2
  4. Shift 3
  5. Shift 4

  1. Jamie wants to find out how many students at her school go to the movies at least twice a week. She interviews 175 students and records their gender and a yes if they go at least twice a week and a no if they go less than twice a week. She displays the results in the table. What is the probability that a male goes to the movies at least twice a week? (Round to the nearest thousandth.)

  1. 0.200
  2. 0.343
  3. 0.438
  4. 1.040
  1. The owners of a water park are taking a survey to determine how many trips to the park kids in the area take during the summer. They take a survey of kids entering the park on a Monday. Is this a good sampling method?
  2. Yes, by surveying kids at the entrance this will ensure that they get a large number of responses.
  3. No, they should have surveyed kids on Friday and Saturday when more people come to the park.
  4. No, many kids may not come to the water park, they need a random sample of area kids.
  5. No, they should have surveyed kids at the local high school.
  1. Coach Woods made a comparison of Geometry quiz scores in his 2nd and 4th period classes:

What can Coach Woods conclude about the comparison of scores?

  1. The average score was lower for 4th period.
  2. The average score was greater for 4th period.
  3. There was less variation in scores 4th period.
  4. There was more variation in scores for 4th period.

  1. The summary statistics for all students that took the SAT at Jones High School are shown. Four sample groups of 10 students are shown. Which sample group has a median less than that of the population?
  2. Group A
  3. Group B
  4. Group C
  5. Group D

  1. The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
  2. 5.49
  3. 17.1
  4. 54.9
  5. 170.8

  1. Sally is choosing what classes to take next year. She must take a math, a science, a fine arts, and a foreign language. If there are 4 math classes, 3 science classes, 5 fine arts classes, and 2 foreign language classes, how many schedules can she have?

  1. 14
  2. 49
  3. 70
  4. 120

  1. If you have a new deck of shuffled cards (52 cards, no jokers). What is the probability that you will choose an Ace?

  1. 1/13
  2. 1/2
  3. 1/4
  4. 1/6

  1. A golf tournament has 100 players and awards prizes to the first 10 places, as shown. What is the expected value for a player in the tournament?
  2. $2.25
  3. $22.50
  4. $225
  5. $22,500
  1. An ice cream shop owner wants to find out what new flavor of ice cream he should sell in his shop. Which method would be BEST way for the owner to do this?

  1. Determine which flavor is the best-selling now.
  2. Visit all the other ice cream store and see what flavors they sell.
  3. Have the computer randomly generate 100 customers from his database and survey them.
  4. Serve every flavor the owner does not sell now for three weeks and see which sells the best.

  1. Hank spins the fair spinner shown in the diagram 30 times. His results are as follows:

Yellow: 4Green: 6

Blue: 7Orange: 3

Red: 5Purple: 5

What is the theoretical probability of landing on yellow?

  1. 1/3c. 1/8
  2. 1/6d. 2/15
  1. Twenty-five students are competing in a Science Fair. I how many ways can 3 students win first, second, and third place?

  1. 2.6 * 1024
  2. 3.9 * 1025
  3. 13,800
  4. 19,656

  1. There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these assignments be made?

  1. 12
  2. 16
  3. 20
  4. 24

  1. Seven students in a small class made the same score on a test, as shown in the table. What was the mean absolute deviation for the class?
  2. 0
  3. m
  4. 8m
  5. Undefined
  1. Heidi is doing a study for her statistics class, and she needs to obtain a random sample of students from a local college. [The arrangement at the college is summarized in the table shown.]

  1. Select 50 students from a new student orientation session.
  2. Select 50 students from participants in a career day presentation.
  3. Select 50 students from the stadium homestands during a football game.
  4. Select 50 students from a graduation rehearsal being held is the stadium.
  1. What is sample space for spinning a square spinner labeled A, B, C, D?

  1. {F}
  2. {A, B}
  3. {A, C, D}
  4. {A, B, C, D}

  1. Mr. Miller teachers a class with 15 boys and 5 girls. If he randomly chooses a student from the class, what is the probability that the student chosen is NOT a boy?

  1. .25
  2. .33
  3. .50
  4. .75

  1. Kara is playing a game where she flips a coin 3 times. She wins and loses different amounts of money based on the outcomes. What is the EXPECTED VALUE for the game?
  2. $0
  3. $2.13
  4. $3.29
  5. $4.14
  1. In a game, a player draws and replaces a card from a deck 2 times. The possible outcomes and payouts are shown. If Jim plays the game 50 times, what is his expected value for all of the games combined?

  1. $3
  2. $50
  3. $120
  4. $150
  1. Kyle has three short straws, four medium straws, and six long straws. If he randomly draws two straws, one at a time without replacement, what is the probability that both are short straws?

  1. 1/26
  2. 3/52
  3. 6/169
  4. 9/169

  1. At Heard High School, the probability that a student takes Advanced Weight Training and Advanced Spanish is 0.0999. The probability that a student takes Advanced Weight Training is 0.71. What is the probability that a student is taking Advance Spanish if the same student is taking Advanced Weight Training?

  1. 7%
  2. 14%
  3. 50%
  4. 71%

  1. Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
  2. The mean for team 1 is greater than the mean for team 2.
  3. The median for team 1 in greater than the median for team 2.
  4. The median for team 2 is greater than the median for team 1.
  5. The value for Q1 for team 1 is greater than the value of Q1 for team 2.

  1. The summary statistics for household incomes of all of the houses on Church Street are shown. Four sample groups were taken from houses on the street. Which sample group has a mean greater than that of the population?
  1. Group 1
  2. Group 2
  3. Group 3
  4. Group 4

  1. Mrs. Cox and Mr. Jones are in charge of the work-study program for Oak High School. Each teacher is in charge of supervising 10 students. They are comparing statistics for the two groups of students based on the hours worked per week. Which statement is true?
  2. The mean for Mrs. Cox is greater than the mean for Mr. Jones.
  3. The median for Mrs. Cox is greater than the median for Mr. Jones.
  4. The Interquartile Range for Mrs. Cox is less than the Interquartile Range for Mr. Jones.
  5. The Interquartile Range for Mrs. Cox is greater than the Interquartile Range for Mr. Jones.
  1. A coin is tossed, then a die is rolled, and the results are recorded. The number of possible outcomes for this event is

  1. 6.
  2. 12.
  3. 18.
  4. 24.

  1. Mr. Hauseman has 17 students in his class, three of which are freshman and the others are sophomores and juniors. He is going to randomly draw two students to be partners. He calculates the probability of drawing a junior and a freshman to be 9 . How many juniors are in the class?

136

  1. 6
  2. 7
  3. 8
  4. 9

  1. How many ways can the letters be arranged?

TJKL

  1. 10 ways
  2. 16 ways
  3. 18 ways
  4. 24 ways

  1. Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?
  2. 2
  3. 4
  4. 6
  5. 8
  1. For which year is the mean the BEST measure of central tendency? (See chart to the left)
  2. 2005
  3. 2006
  4. 2007
  5. 2008

  1. Kristen wants to hang three wedding pictures in the hallway of her home. She is choosing 3 pictures from a total of 10. If the order in which she hangs the pictures is not important, how many different ways can Kristen choose 3 pictures and hang them on the wall?

  1. 5,040
  2. 120
  3. 360
  4. 604,800

  1. Erica rolls a die twice. What is the probability that she rolls an odd number and then a number less than 3.

  1. 1/6
  2. 1/5
  3. 1/4
  4. 1/3

  1. Jack is running for city mayor. He stops the first 10 people on the street and asks them what their biggest concern for the city is. Six of the people say higher taxes are their biggest concern. Jack concludes that most people in the town think higher taxes are the biggest concern. Jack’s conclusion is…
  2. invalid. Jack did not ask enough people
  3. incorrect. Six of ten is not a majority.
  4. bias. Jack does not want to raise taxes and is looking for support.
  5. valid. More than half of the people asked said higher taxes are their biggest concern.

  1. If a point in randomly chosen on the regular hexagon shown to the right, what is the probability that it will be a green section of the figure?
  2. 1/6
  3. 1/3
  4. 1/2
  5. 3/4
  1. You win $4 if you flip a coin twice and get tails both times. For any other outcome, you get nothing. The table below shows the sample space for this event. Use this information to find the expected value.

  1. $0.25
  2. $0.50
  3. $0.75
  4. $1.00
  1. Five students in a small class made the test scores shown in the table to the right. What was the mean absolute deviation for the class?
  2. 10.96
  3. 35.44
  4. 52.87
  5. 79.80
  1. A pizza shop runs a special where you can buy a large pizza with one cheese, one veggie, and one meat for $7.00. You have a choice of 6 cheeses, 14 veggies, and 5 meats. Additionally, you have a choice of 5 different crusts and 3 sauces. How many different variations of the pizza special are possible?
  2. 33 different pizzas
  3. 32 different pizzas
  4. 6300 different pizzas
  5. 2100 different pizzas