WorksheetsProbability and Statistics Final Exam Review
Total questions: 40
Worksheet time: 1hrs 28mins
Which of the following is the correct definition of the placebo effect?
After research, a new drug and an old drug show the same results, showing that there is no difference in the two drugs.
Dogs are randomly assigned in to two different groups. One group of dogs tries a new joint hip supplement while the other dogs receive nothing.
A new exercise routine shows improvement over the old program in 21 out of 40 subjects.
People who are told they are taking a new drug show signs of improvement, but they were actually given a sugar pill.
In a random sample of eight people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.2 minutes. Calculate a 95% confidence interval to estimate the true commute time to work.
(30.667, 40.323)
(29.481, 41.519)
(26.592, 44.408)
(27.447, 43..553)
License plates in the state of Florida have the following guidelines: there are 8 characters total, with the first 3 of them being letters and the remaining 5 of them being numbers. What is the probability a randomly selected license plate will begin with the letter Z?
0.038
0.01
0.0.0000000006
0.000000032
50 birds are currently in the pet store. Of the 50 birds, 12 of them have both blue and red feathers, 25 of them have just red feathers, and 17 of them have just blue feathers. What is the probability of randomly selected a bird that had blue or red feathers?
0.58
0.84
0.6
0.39
You roll a die and get a 5. You roll the same die again and get a 4. Are these 2 events independent of each other?
Yes because rolling a 5 doesn't have an affect on rolling a 4
Yes because rolling a 5 has an affect on rolling a 4
No because rolling a 5 doesn't have an affect on rolling a 4
No because rolling a 5 has an affect on rolling a 4
A spinner has six different colors that can be spun: red, yellow, orange, blue, green, and purple. On the spinner each color space is the same size. Does this histogram match the distribution of a fair spinner. (Please ignore the labels on the axes).
No, the distribution should be skewed to the left
No, the distribution should be uniform
Yes, it should be following a right skewed distribtuion
Yes, it could be either right of left skewed
Skittles candy come in 5 different colors: 10% of them are red, 20% of them are orange, 30% of them are yellow, 20% are green and 20% of them are purple. Using a 2-digit assignment, starting with red from 00-09, ending with purple 80-99, utilizing the random digit list above. What would the colors of the first fifteen candies selected be?
0 red, 1 orange, 4 yellow, 6 green, 4 purple
1 red, 2 orange, 5 yellow, 5 green, 2 purple
0 red, 2 orange, 4 yellow, 6 green, 3 purple
1 red, 1 orange, 7 yellow, 3 green 3 purple
What affect would removing the outlier at x=51 have on the slope and the y-intercept of the line of best fit?
Slope increases, y-intercept increases
Slope increases, y-intercept decreases
Slope decreases, y-intercept decreases
Slope decreases, y-intercept increases
Thirty randomly selected students took the calculus final. If the sample mean was 92 and the standard deviation was 9.4, construct a 99 percent confidence interval for the mean score of all students from which the sample was gathered.
89.08 < μ < 94.92
87.27 < μ < 96.73
87.29 < μ < 96.71
87.77 < μ < 96.23
An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?
0.962
0.132
0.831
0.250
The probability that you have homework today and tomorrow is 0.15. The probability that you have homework today is twice as likely as the probability you will have homework tomorrow. If the probability that you will have homework today or tomorrow is 0.45, what is the probability that you will have homework today?
0.2
0.4
0.1
0.5
The probability that you get struck by lightning is 0.3. The probability you win the lottery is 0.15. The probability you get struck by lightning and win the lottery is 0.045. Are these two events independent?
Yes, because P(lightning ∩ Lottery) ≠ P(Lightning)*P(Lottery)
Yes, because P(lightning ∩ Lottery) = P(Lightning)*P(Lottery)
No, because P(lightning ∩ Lottery) ≠ P(Lightning)*P(Lottery)
No, because P(lightning ∩ Lottery) = P(Lightning)*P(Lottery)
A company wants to randomly select different people to ask whether or not they are happy with the benefits the company offers. The employer has 800 different employees they could sample from. If everyone is numbered 001-800, who would be the first 5 people selected?
999, 822, 760, 162, 686
99, 98, 22, 76, 01
22, 76, 01, 62, 69
760, 162, 686, 447, 118
If you were to spin the following spinner 500 times, how many times would you expected the spinner to land on blue?
187.5
125
62.5
155.5
Which of the following is a marginal frequency from the table?
35
21
80
44
What is the shape of this bar graph? What measure of central tendency should be used?
Skewed Right, Mean
Skewed right, Median
Skewed Left, Mean
Skewed Left, Median
What does the slope mean in the context of the problem?
For every 1 dollar increase in the cost, the number of toppings increases by 1.4.
For every 1.4 dollar increase in the cost, the number of toppings increases by 1.
For every 1 additional topping, the cost of the hamburger increases by $1.40
For every 1.4 additional toppings, the cost of the hamburger increases by $1.00.
The manufacturer of a refrigeration system for wine produces refrigerators that are supposed to maintain a true mean temperature, μ, of 43°F, ideal for a certain type of French wine. The owner of the Je T'Aime Vin winery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
H0: μ ≠ 43 Ha: μ = 43 claim
H0: μ ≤ 43 Ha: μ > 43 claim
H0: μ ≥ 43 claim Ha: μ < 43
H0: μ = 43 claim Ha: μ ≠ 43
A city school board claims that the mean number of school days missed due to illness by the city’s schoolteachers is 5 per year. The teacher’s union thinks it actual mean is lower than that. A random sample of 28 city school teachers missed an average of 4.5 days last year, with a sample standard deviation of 0.9 days. The distribution of the number of days missed in the sample is roughly symmetric with no outliers. A test of H0 : μ = 5 and Ha : μ < 5 produces a P-value in which of the following intervals?
Between 0.0025 and 0.005.
Between 0.001 and 0.0025.
Between 0.005 and 0.01.
The probability that Tom will go to school today and tomorrow is 0.22. If the probability that Tom will go to school today is 0.5, what is the probability that Tom will go to school tomorrow given that he goes to school today?
0.44
0.11
0.72
0.56
The probability that Kayla will brush her teeth daily is 0.45, and the probability that Kayla will get a cavity given she brushes her teeth daily is 0.05. What is the probability that Kayla will brush her teeth each day and get a cavity?
0.4
0.50
0.11
0.02
Find the mean (expected value) of the probability distribution.
85
83.2
87.1
84.4
Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. the city plans to pay for the structure through parking fees. During a two-month period (44 weekdays), daily fees collected averaged $126, with a standard deviation of $15. How many days' worth of data should they collect to have 95% confidence of estimating the true mean to within $3?
97
85
76
101
Which of the following is a true statement?
The chess club has the youngest member
The chess club has a larger range than the checkers club
The chess club has a larger IQR than the Checkers club
Close to 75% of the chess clubs ages are larger than 50% of the checkers club ages.
A survey was taken and students were asked what their favorite primary color is. How many students are upper classmen and picked blue?
17
15
21
19
y= 40x+100, where x is number of weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
A student wants to determine whether or not there is evidence that students spend less than an average of 2 hours of homework each week. Which of the following tests should be used?
A one-tailed test, in which the rejection region is in the lower tail
A one-tailed test, in which the rejection region is in the upper tail
A two tailed test
Either a one or two tailed test
A researcher wants to know if a new fertilizer is more effective with plant growth. They put the old fertilizer on 25 plants and the new fertilizer on 25 different plants. This is an example of what?
Experiment
Observational Study
Simulation
Survey
The probability that a person likes blue given they are a women is 0.35. The probability of selecting a women is 0.58. What is the probability of selecting a woman who also likes the color blue?
P(Woman and Blue)=0.603
P(Woman and Blue)=0.23
P(Woman and Blue)=1.657
P(Woman and Blue)=0.203
You draw a card from a deck. If you get a red card, you win nothing. If you get a spade, you win $5. For any club, you win $10 plus an extra $20 for the ace of clubs. To play this game it costs $5.00 to play the game. What is the expected profit for this game if you played it 10 times?
-$0.87
-$8.65
$1.06
$10.58
You wish to estimate, with 90% confidence, the population proportion of U.S. adults who are confident in the stability of the U.S. banking system. Your estimate must be accurate within 3% of the population proportion. Find the minimum sample size needed if no preliminary estimate is available.
752
1306
1068
2195
