One
A random survey was conducted about peoples' favorite sport. The two-way frequency table below displays the survey data for a person's age and favorite sport. How many of those surveyed said Tennis was their favorite sport? (12)
95
Is the following statement an accurate method to collect a simple random sample?
General Frannie wants to show how fast soldiers in her division can run. Instead of timing all the soldiers, she decides to time a sample of 483 soldiers. She assigns a unique number to each soldier in her division. Then she uses a random number generator to select 483 soldiers for the sample.
Yes, This is a Simple Random Sample
A standard coin is flipped in order to decide how a game starts. What is the probability that the coin lands on heads?
Submit your answer as an exact fraction, as well as a decimal and percentage, both rounded to the hundredths place.
1/2; 0.5; 50%
Is the following statement an accurate method to collect a cluster sample?
Governor Alayna wants to know what percentage of residents in her state support a new education law. Instead of asking all of the state's residents, she decides to survey a sample of 312 residents. She assigns a unique number to each resident. Then she uses a random number generator to select 312 residents for the sample.
No, This is not a Cluster Sample
ay that a card is drawn from a standard deck of cards with no jokers. This deck has 4 suits (diamonds, spades, hearts, clubs), with 13 cards per suit (numbers 2 through 10, jack, queen, king, ace), which add up to 52 cards in total. What is the probability that the card drawn has clubs as its suit?
Submit your answer as an exact fraction, as well as a decimal and percentage, both rounded to the hundredths place.
1/4; 0.25; 25%
The following set of chips is placed inside a bag. Then, without looking, a chip is pulled out of the bag. What is the probability that the chip chosen will contain a filled-in triangle?
Submit your answer as an exact fraction, as well as a decimal and percentage, both rounded to the hundredths place. (7)
2/5; 0.4; 40%
Determine whether or not the following scenario contains bias and if so, identify the type of bias present:
A company asks its employees in an email to take an anonymous optional survey about their job satisfaction.
A. Sampling Bias
B. Non-Response Bias
C. Response Bias
D. Measurement Bias
E. No Bias
B. Non-Response Bias
Determine if the following question has any of the biases listed below. If so, determine the type of bias.
"Why do you like statistics?"
A. Biased - Leading Question
B. Biased - Double-Barreled Question
C. Biased - Loaded Question
D. None of the above
C. Biased Question
The two-way table displays the relationship between a student's gender identity and the sport they play. Assume each student plays exactly one sport. Fill in the missing cells of the table. (13)
43 41 84
43 30 73
86 71 157
The eighth grade class at Middleton Middle School has 167 students total. Of those students, 120 are in band and the rest are in general music. Of the students in band, 94 like pineapple pizza. 106 eighth grade students like pineapple pizza. (5)
94 12 106
26 35 61
120 47 167
The two-way table below displays data for students at Hillview Middle School. Of those who like egg nog, what percentage of students do not like fruit cake? Round to two decimal places if necessary. (14)
50%
A meteorologist reports that there is a 0.49 probability that it will rain tomorrow. Interpret this statement.
A. It is unlikely that it will rain tomorrow
B. The chances are about even that it will rain tomorrow
C. It is likely that it will rain tomorrow
B. The chances are about even that it will rain tomorrow
A track race consists of 9 runners. In how many ways can the podium of the top 3 runners be ordered? Answer by determining if the given situation is a permutation or combination.
Permutation
Find P(A∣B).
P(A∩B)=0.48
P(B)=0.59
48/59
Suppose that in a year of 365 days, it rains on 80 days. There is lightning on 16 days. There is both lightning and rain on 14 days.
Compare the chance that a rainy day has lightning to the chance that a day with lightning has rain.
P(lightning | rain)=
P(rain | lightning)=
P(lightning | rain)= 14/80=7/40
P(rain | lightning)= 14/16=7/8
Students at Lakeview Middle School were surveyed about their favorite color. The results are shown in the two-way table below. Choose the correct interpretation(s). (6)
None of the above
A survey of employed Americans is sent out. The survey asks them whether or not they work from home, as well as whether or not they own a truck. The data is shown in the two-way column relative frequency table below.
Choose all of the following conclusions that we are able to draw from this table. (15)
A person that claims they don't own a truck is more likely to say they work away from home than work from home.
Match each event to its likelihood. Use the diagram below. (17)
C - Flipping Coin
L - Pulling Blue Marble
EC - Question with 2 Choices
U - Rolling 4
I - Spinning Less Than 1
Calculate the number of permutations of 9 objects taken 5 at a time.
15,120
Calculate the number of combinations of 4 objects taken 3 at a time.
4