Family Feud Review Math 2200: Elementary Statistics

April 28, 2011

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Question 1

State the five pieces of information that make the five number summary.

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Answer 1

Answer Minimum, Q1, Median, Q3, Maximum

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Question 2

Suppose you roll a fair six-sided die. What is the probability of rolling an odd number?

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Answer 2

Answer 3 1 P({1, 3, 5}) = = 6 2

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Question 3

State two types of graphs that can be used to represent a categorical variable.

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Answer 3

Answer Pie chart and bar graph

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Question 4

Assume the probability of the event E occurring is 0.15. What is the probability that the event E does not occur?

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Answer 4

Answer P(not E) = 1 − P(E ) = 1 − 0.15 = 0.85

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Question 5 y 14

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Question: What is a good estimate for the linear correlation in this scatterplot? r =1

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Question 5 y 14

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Question: What is a good estimate for the linear correlation in this scatterplot? r =1 r = 0.161432343

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Question: What is a good estimate for the linear correlation in this scatterplot? r =1 r = 0.161432343 r = −0.161432343

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Question: What is a good estimate for the linear correlation in this scatterplot? r =1 r = 0.161432343 r = −0.161432343 r = 0.8218403732

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Question: What is a good estimate for the linear correlation in this scatterplot? r =1 r = 0.161432343 r = −0.161432343 r = 0.8218403732 r = −.8218403732 Moore

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Answer 5

Answer r = −.8218403732

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Question 6

Assume the confidence interval for a population mean is given by (−1, 7). What is the sample mean for this given interval?

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Answer 6

Helpful Information The confidence interval is given by x ± Margin of Error Answer 3

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Question 7

Suppose P(A ∩ B) = 0.3, P(A) = 0.6, and P(B) = 0.9. What is P(A|B)?

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Answer 7

Answer 0.3 1 P(A ∩ B) = = P(A|B) = P(B) 0.9 3

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Question 8

The following stemplot gives the monthly salaries of a radiologist over the past twelve months with the leaves representing hundreds. 4 668 5 00011445 6 5 What is the median?

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Answer 8

Answer $5050

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Question 9

Creators of the game show Jeopardy claim that the winner averages $24000. During the last 15 episodes of Jeopardy the winner of each show had the dollar amounts listed below. 32100 41300 13700

12000 28275 48500

19200 23000 17700

20250 16775 18900

5005 3001 19750

With this information, you believe the creators have overestimated the average winnings. State the null and alternative hypothesis.

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Answer 9

Answer H0 : µ = 24000 H1 : µ < 24000

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Question 10

Four six-sided dice are rolled and the numbers appearing face up are added together. What is the sample space for this experiment?

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Answer 10

Answer {4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}

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Question 11

State which of the following distributions involve degrees of freedom. Normal distribution

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Question 11

State which of the following distributions involve degrees of freedom. Normal distribution t-distribution

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Question 11

State which of the following distributions involve degrees of freedom. Normal distribution t-distribution Uniform distribution

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Question 11

State which of the following distributions involve degrees of freedom. Normal distribution t-distribution Uniform distribution Chi-square distribution

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Answer 11

Answer t-distribution and Chi-square distribution

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Question 12

The following table displays the marital status and occupation of female professionals in the Savannah area.

Single Married Divorced Widowed Total

Lawyer 1128 684 1527 42 3381

Doctor 521 1001 842 67 2431

Actuary 1025 547 103 9 1684

Teacher 478 2072 97 192 2839

Total 3152 4304 2569 310 10335

How many female professionals in Savannah are either married or an actuary?

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Answer 12

Answer 4304+1684-547=5441

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Question 13

Suppose we draw two cards from a standard deck of 52 cards. What is the probability that the second card is a king given the first card drawn is the ace of hearts.

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Answer 13

Answer 4 51

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Question 14

State the two rules necessary for a function to be a density curve.

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Answer 14

Answer The function is always on or above the x-axis. The area between the function and the x-axis equals 1.

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Question 15

The amount of time it takes a student to complete a statistics exam is uniformly distributed between 30 and 55 minutes. Determine the probability that a student completes the statistics exam in 35 minutes or less.

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Answer 15

Answer 5 1 35 − 30 = = 55 − 30 25 5

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