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WorksheetsQUIZIZ Battle (Statistics and Probability)
Total questions: 100
Worksheet time: 1hrs 8mins
A nutritionist started studying about ketogenic diet comparing the most feasible amount of carbohydrates, protein, and fats. What is the most appropriate continuous random variable that she should consider?
percentage of food intake
frequency of meals in a day
daily count of tablespoons of sugar
number of laps covered on a running exercise
If tossing a coin has two possible outcomes, a pair has four, three coins has 8, and four coins has 16, how many possible outcomes are there when three dice are rolled?
6
36
18
216
Which of the following is TRUE about dependent events?
Dependent events are always mutually exclusive.
The experiments are conducted without replacement.
The probability of dependent events can be less than zero.
The probability of an event happening is not affected by the previous.
A probability experiment is conducted. Which of these can be considered a probability outcome?
–0.5
120%
4/3
0.65
A college president wants to find out which courses are popular with students. What procedure would be most appropriate for obtaining an unbiased sample of students?
Survey a random sample of students from the English department
Survey the first hundred students from an alphabetical listing.
Survey a random sample of students from a list of the entire student body
Have students voluntarily mail in their preference.
The graph shows the yearly average temperature from 1980 to 1985. What is the difference between the highest and lowest average yearly temperatures?
73oF
77oF
1oF
4oF
Students are asked to rank 4 instructors from best to worst. How many different ways can the four instructors be ranked?
1
4
24
64
Alpha airline has 3 flights from Florida to Atlanta and 6 flights from Atlanta to New York. In how many ways can you fly Alpha from Florida to New York stopping in Atlanta?
36
720
18
4320
A customer can order a hamburger with or without each of the following condiments: onions, mustard, catsup, pickle, and mayonnaise. How many different combinations of these options are available?
1
8
16
32
A survey at a particular college indicated that 90% of the students taking the Essay portion of the class passed. If only 70% of those taking the Math portion passed, what is the probability that a randomly selected student at this college will FAIL both the Essay and the Math portion of the class?
63/100
1/100
3/100
63/1000
If μ = 12 and σ = 5, what is the range of scores within 3σ from the mean?
[12,27]
[-3,27]
[-3,12]
[3,12]
Which of the following properties is NOT true about a normal curve?
The total area under the curve is 1.
The curve touches the x-axis at a certain point.
The mean, median, and mode are equal.
It is symmetric about the mean.
A bag of cookies is underweight if it weighs less than 500 grams. The filling process dispenses cookies with the weight that follows a normal distribution with mean 510 grams and the standard deviation of 4 grams. What is the percentage that a randomly selected bag is underweight?
0.62%
0.04%
0.57%
0.13%
The profits realized by Jackie's Place over a period of time are as shown. Which statement best describes the trend in profits?
There is an increasing trend in profits from 1990 to 1995.
Profits began to stabilize in 1991.
There is no trend in profits
Profits are steadily declining into the 1990's.
The vice-president of ABC corporation needs to estimate the average over-time pay per person in any given week. What procedure would be most appropriate for obtaining a statistically unbiased sample of the corporation's employees?
Have employees voluntarily list their over-time hours on a bulletin board.
Select the largest department in the corporation and survey a random sample of its employees.
Randomly select a sample from all employees.
Survey all the newest employees.
The scores on the Mathematics Placement Examination have been scaled with the scores listed corresponding to the indicated percentile ranks. What percent of the students taking the test scored between 15 and 20?
72
50
20
8
In how many different ways can four persons be lined up at the check-out counter at the supermarket?
4
10
16
24
If tossing a coin has two possible outcomes, a pair has four, three coins has 8, and four coins has 16, how many possible outcomes are there when three dice are rolled?
6
36
18
216
Let X be the number of red non-face cards in a standard deck. If seven cards are to be drawn without replacement, what are the possible realizations of x?
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{1, 2, 3, 4, 5, 6, 7}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{0, 1, 2, 3, 4, 5, 6, 7}
Which of the following is NOT a probability mass function?
P(z)=5, if 0<z<5
P(y)={0.5, 0.7 , if y=0, if y=1}
P(x)=65x, if x = 1, 2, 3, ...
P(a)= a3(21)a, if a=0, 1, 2, 3
What is one of the distinctions between a population parameter and a sample statistic?
A population parameter is only based on conceptual measurements, but a sample statistic is based on a combination of real and conceptual measurements.
A sample statistic changes each time you try to measure it, but a population parameter remains fixed.
A population parameter changes each time you try to measure it, but a sample statistic remains fixed across samples.
The true value of a sample statistic can never be known but the true value of a population parameter can be known.
A magazine printed a survey in its monthly issue and asked readers to fill it out and send it in. Over 1000 readers did so. This type of sample is called ________.
a cluster sample.
a self-selected sample.
a stratified sample.
a simple random sample
Which of the following would be most likely to produce selection bias in a survey?
Using questions with biased wording.
Only receiving responses from half of the people in the sample.
Conducting interviews by telephone instead of in person.
Using a random sample of students at a university to estimate the proportion of people who think the legal drinking age should be lowered.
A polling agency conducted a survey of 100 doctors on the question “Are you willing to treat women patients with the recently approved pill RU-486”? The conservative margin of error associated with the 95% confidence interval for the percent who say 'yes' is ________
50%
10%
5%
2%
Which one of these statistics is unaffected by outliers?
Mean
Interquartile range
Standard deviation
Range
A list of 5 pulse rates is: 70, 64, 80, 74, 92. What is the median for this list?
74
76
77
80
Which of the following would indicate that a data set is not bell-shaped?
The range is equal to 5 standard deviations.
The range is larger than the interquartile range.
The mean is much smaller than the median.
There are no outliers.
Which one of the following variables is not categorical?
Age of a person.
Gender of a person
Choice on a test item
Marital status of a person
Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A|B) is:
P(A) = 0.2
P(A)/P(B) = 0.2/0.4 = ½
P(A) × P(B) = (0.2) (0.4) = 0.08
None of the above.
Which of the following statements best describes the relationship between a parameter and a statistic?
A parameter has a sampling distribution with the statistic as its mean.
A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples.
A parameter is used to estimate a statistic.
A statistic is used to estimate a parameter.
A sampling distribution is the probability distribution for which of the following:
A sample
A sample statistic
A population
A population parameter
Which statement is NOT true about confidence intervals?
A confidence interval is an interval of values computed from sample data that is likely to include the true population value.
An approximate formula for a 95% confidence interval is sample estimate ± margin of error.
A confidence interval between 20% and 40% means that the population proportion lies between 20% and 40%.
A 99% confidence interval procedure has a higher probability of producing intervals that will include the population parameter than a 95% confidence interval procedure.
Which statement is not true about the 95% confidence level?
Confidence intervals computed by using the same procedure will include the true population value for 95% of all possible random samples taken from the population.
The procedure that is used to determine the confidence interval will provide an interval that includes the population parameter with probability of 0.95.
The probability that the true value of the population parameter falls between the bounds of an already computed confidence interval is roughly 95%.
If we consider all possible randomly selected samples of the same size from a population, the 95% is the percentage of those samples for which the confidence interval includes the population parameter.
Which of the following statements is correct about a parameter and a statistic associated with repeated random samples of the same size from the same population?
Values of a parameter will vary from sample to sample but values of a statistic will not.
Values of both a parameter and a statistic may vary from sample to sample.
Values of a parameter will vary according to the sampling distribution for that parameter.
Values of a statistic will vary according to the sampling distribution for that statistic
A randomly selected sample of 400 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent (46%) of the 400 students surveyed answered "yes." Which one of the following statements about the number 46% is correct?
It is a sample statistic.
It is a population parameter.
It is a margin of error.
It is a standard error.
The expected value of a random variable is the ____________.
value that has the highest probability of occurring.
mean value over an infinite number of observations of the variable.
largest value that will ever occur.
most common value over an infinite number of observations of the variable.
Which one of these variables is a continuous random variable?
The time it takes a randomly selected student to complete an exam.
The number of shoes a randomly selected person has.
The number of women taller than 68 inches in a random sample of 5 women.
The number of correct guesses on a multiple-choice test.
Which one of these variables is a binomial random variable?
time it takes a randomly selected student to complete a multiple-choice exam
number of textbooks a randomly selected student bought this term
number of women taller than 68 inches in a random sample of 5 women
number of CDs a randomly selected person owns
Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78?
Find the area to the left of z = 1 under a standard normal curve.
Find the area between z = −1 and z = 1 under a standard normal curve.
Find the area to the right of z =1 under a standard normal curve.
Find the area to the right of z = −1 under a standard normal curve.
The probability is p = 0.80 that a patient with a certain disease will be successfully treated with a new medical treatment. Suppose that the treatment is used on 40 patients. What is the "expected value" of the number of patients who are successfully treated?
40
20
32
8
The measure of location which is the most likely to be influenced by extreme values in the data set is called:
range
median
mode
mean
A numerical description of the outcome of an experiment is called:
descriptive statistic
probability function
variance
random variable
Convenience sampling is an example of __________.
random sampling
stratified sampling
non random sampling
cluster sampling
In hypothesis testing, the hypothesis tentatively assumed to be true is ___________.
the alternative hypothesis
the null hypothesis
either the null or the alternative
None of these alternatives is correct
Which of the following is TRUE about dependent events?
Dependent events are always mutually exclusive.
The experiments are conducted without replacement.
The probability of dependent events can be less than zero.
The probability of an event happening is not affected by the previous.
A nutritionist started studying about ketogenic diet comparing the most feasible amount of carbohydrates, protein, and fats. What is the most appropriate continuous random variable that she should consider?
percentage of food intake
frequency of meals in a day
daily count of tablespoons of sugar
number of laps covered on a running exercise
A commercial brand of medicine claims that their brand is 70% effective to treat patients with fever. To check the validity of the claim, a group of medical doctors sampled 15 patients. If 10 or more patients relieve from fever, then the claim is valid. Let Y be the number of patients out of 10, who were successfully cured using the medicine. What type of discrete probability distribution does Y have?
Binomial
Negative Binomial
Hypergeometric
Poisson
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. In this problem the 0.22 is _______
a parameter
a statistic
the standard error of the mean
the average content of colognes in the long run
Whenever using the t distribution in estimation, we must assume that _______________________.
the sample size is at least 30
the sampling distribution is approximately normal
the population is approximately normal
the finite population correction factor is necessary
Which of the following best describes the form of the sampling distribution of sample proportion?
When standardized, it is exactly the standard normal distribution
When standardized, it is the t-distribution
It is approximately normal as long as n > 30.
It is approximately normal as long as
np > 5 and nq > 5.
The total area under the normal curve is equal to 1.
Always True
Sometimes True
Never True
A distribution with mean = 0 and sd = 1 is a standard normal distribution.
Always True
Sometimes True
Never True
A continuous distribution is symmetric, that is the data are equally distributed about the mean.
Always True
Sometimes True
Never True
If the data follows a normal distribution then the random variable is continuous.
Always True
Sometimes True
Never True
A normal distribution is an example of a discrete distribution.
Always True
Sometimes True
Never True
In an approximately normal distribution, the mean and the median are greater than the mode.
Always True
Sometimes True
Never True
If the z-score is not positive, then the given random value is less than zero
Always True
Sometimes True
Never True
A bag of cookies is underweight if it weighs less than 500 grams. The filling process dispenses cookies with the weight that follows a normal distribution with mean 510 grams and the standard deviation of 4 grams. What is the percentage that a randomly selected bag is underweight?
0.62%
0.04%
0.57%
0.13%
At a large publishing company, the mean age of proofreaders is 40.5 years, and the standard deviation is 2.9 years. Assume the variable is normally distributed. A proof reader can retire early if his/her age belongs to top 15%. A proofreader’s age is 55. She can retire early.
Always True
Sometimes True
Never True
A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 85 km/hr and a standard deviation of 12 km/hr. Sanctions will be given to a motorist travelling faster than 85% of the distribution. A motorist is travelling at a speed of 135 km/hr. He will NOT be apprehended.
Always True
Sometimes True
Never True
Which of the following is a discrete probability distribution?
The average amount of electricity consumed
The amount of paint used in repainting a building
The number of patients in a hospital
The average weight of female athletes
If two coins are tossed, which is not a possible value of the random variable for the number of heads?
0
1
2
3
Which of the following is not a true statement?
The value of a random variable could be zero.
Random variables can only have one value.
The probability of the value of a random variable could be zero.
The sum of all the probabilities in a probability distribution is always equal to one.
It is a characteristic that can assume different values.
probability distribution
variable
discrete
nominal
It consist of the values of the random variable can assume and the corresponding probabilities.
Probability
Frequency Distribution
Probability Distribution
Distribution
Variables that are expressed as a whole and is countable.
Discrete
Continuous
Nominal
Ordinal
Which of the following best describes the continuous variable?
Expressed as a whole
Countable
weight
Uncountable
It is the list of all possible outcomes.
probability distribution
discrete variable
possible outcomes
sample space
It is the most appearing number.
mean
median
mode
variance
Process of collecting, analyzing, interpreting and presenting data.
probability
statistics
variable
none of the above
Assume that in your History class you have earned test scores of 78, 82, 56, and 72. Only 1 test remains. If you need a mean score of 75 to earn a C in the class, what must you score on the final test?
75
87
12
57
Given a normal distribution, what percentage of all values fall within 1 standard deviation from the mean?
34%
68%
95%
13.5%
Which of the following describes a stratified sample?
Divide the population into groups and randomly select some people from each group
Divide the population into groups, randomly select a few groups, and select everyone in those groups
Randomly choose some people from the population
Randomly choose one person from the population and then select every 10th person after that.
A/an________________________ is when the outcome of one event does not affect the outcome of another event.
Independent Event
Sample Space
Dependent Event
Compound Event
Which number represents all possible outcomes for combinations with 35 flavors of ice cream, one, two, or three scoops, and a sugar or waffle cone.
210
140
70
35
Which term uses a number between 0 and 1 to describe the chance that an event will occur?
Simple Event
Likehood
Probability
Experiment
A box-and-whisker plot is divided into four sections that each represent 50% of the data.
Always True
Sometimes True
Never True
Which of the following statements are examples of a random sample?
All of the students in your Math class.
Every 5th person who enters the building.
Names from a computer-generated list
The students who are on your bus.
What type of data display uses the median, quartiles, and extreme values?
Histogram
Bar Graph
Box-and-Whisker Plot
Scatter Plot
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
15
80
10
40
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
32
192
40,320
51,200
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.
4/121
8/121
3/121
6/121
A principal recorded the number of students that attended each football game for six games. Her data is shown below.
75, 102, 64, 62, 93, 50
What is the interquartile range of her data?
25
31
36
52
Marianne wanted to know students' opinion on the new schedule at school. She places students' names in a container and randomly picks out 20 names.
Convenience Sampling
Systematic Sampling
Random Sampling
Self-Selected Sampling
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
to randomly ask 8th grade students who went on a field trip last year
to ask all 7th grade teachers and administrators for a location
to randomly choose some 7th grade students to select a location
to ask the parents of all students to select a location.
The number of accidents a week at a company has a mean of 6.4 and a standard deviation of 1.4. What proportion of weeks would you expect to have less than 5 accidents?
0.135
0.025
0.16
0.84
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's score on the test is 118, what was her z-score on the test?
10.3
0.8
-1.2
1.2
Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches. The z score corresponding to a woman with a height is 2.56. How tall is the woman?
24.42 in
28 in
70 in
68.6 in
A radio station asks its listeners to dial one of two numbers to indicate their preference for one of two candidates in an upcoming election. Of the responses received, 76% favored candidate A. If there are 1,500 registered voters, how many will vote for candidate A?
1,140
1,974
6
100
What is the interquartile range (IQR)?
4
60
64
8
It is a numerical description of a population characteristic.
Data
People
Statistics
Parameter
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
82
88
100
118
If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?
-1.25
+1.25
+1.20
+1.02
The multiplication rule in statistics states that...
to find the probability of one event happening, you can use the general multiplication rule formula of P(A ∩ B) = P(A)
to find the probability of two events happening at the same time, you can use the general multiplication rule formula of P(A ∩ B) = P(A) P(B)
to find the probability of two events happening at the same time, you can use the general multiplication rule formula of P(A ∩ B) = P(A) / P(B)
to find the probability of two events happening at the same time, you can use the general multiplication rule formula of P(A ∩ B) = P(A)+ P(B)
The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?
1/2
20/15
8/15
6/8
What does a z-score of 0 mean?
The score is equal to the mean
The score is 0 points.
There is no data.
You can't tell unless you know the data is normal.
There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. What is the probability that the coin is a nickle both times?
36/169
5/16
6/13
3/19
The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?
92.4%
16%
10.5%
7.6%
Is this a probability distribution?
Yes, the sum p(x) is 1.
No, all p(x) are not between 0 and 1.
Yes, all p(x) are between 0 and 1.
No, the sum of p(x) does not equal 1.
Your math grades are 90, 85, 0, 90, 80, 100, and 90. Which grade is the outlier?
90
100
85
0
