Name the Procedure
Mrs. Garcia found the National mean score for the AP Stats exam to be a 2.89. She wants to know if the ATHS mean score on the AP Statistics exam is different than the national mean.
What is a 1-Mean T-Test/ 2:T-Test?
Two events that have no outcomes in common.
What are disjoint events?
A local TV news station has a daily poll that they ask their viewers. Every day at 5:00 PM they put up a QR code on the screen and anyone who is watching and would like to respond may do so and answer the question.
What is voluntary response bias?
A biochemist is trying to analyze data derived from a large sample of bacterial cultures. She realized that she measurements that were taken were off by a factor of 8. If she multiplied each value in the data set by the constant of 8, which of the following summary statistics would change? (can be more than 1 answer)
I. the mean
II. the median
III. the IQR
What is I, II, and III?
The measure of center that is resistant.
What is the median?
Employees at an office were surveyed about what types of hot beverages they drank that day. It was found that 50% of them drank coffee and 25% drank tea. The survey showed that 10% of the employees drank both coffee and tea.
Find the probability that a randomly selected person from this group drank coffee OR drank tea.
What is 0.65?
Mr. Jackson bought a jumbo bag of skittles and is curious to see if his ratio of green, red, yellow, brown and blue skittles matches the ratio described on the skittles website. He counts out the amount of each color he has and decides to run a ________ Test to see if it matches the historical ratio.
What is a Chi Squared Goodness of Fit Test?
The effects of two variables on the response cannot be distinguished from each other.
What is confounding?
An airline company wants to survey its customers one day, so they randomly select 5 flights that day and survey every passenger on those flights.
What type of sample is this?
What is a cluster random sample?
Besides SOCS what must I include in the description of a distribution?
What is CONTEXT?
Stem plots, histograms, box plots, bar graphs, dot plots and scatter plots can be used to display this kind of data.
What is quantitative data?
Jillian surveyed students at her school and found out the following probabilities:
P(freshman) = 0.30
P(plays instrument) = 0.20
P(freshman and instrument) = 0.10
Find the probability that a student plays an instrument given they are a freshman.
What is .1/.3 = 0.33?
A hospital reported 5 c-section births out of 89 patients under the age of 38. The same hospital reported 9 c-section births out of 56 patients over the age of 38. What test should be used to see if there is a difference between the 2 groups?
What is a 2 proportion Z Test/ 6:2-PropZTest?
P(A)=P(A|B) and P(B)=P(B|A)
What are independent events?
A television reporter wants to determine if Maryland residents would be interested in renovating Camden Yards, Baltimore's baseball field. The reporter asks baseball game attendees at Camden Yards if they support the idea.
What is convenience sampling?
A sleep time of 15.9 hours per day for a newborn baby is at the 10th percentile of the distribution of sleep times for all newborn babies. Assuming the distribution is normal with standard deviation 0.5 hour, approximately what is the mean sleep time, in hours per day, for newborn babies?
What is 16.5 hours?
Researchers working for a certain airline are investigating the weight of carry-on bags. The researchers will use the mean weight of a random sample of 800 carry-on bags to estimate the mean weight of all carry-on bags for the airline. Will bias and variance increase, decrease, or stay the same if the researchers increase the sample size to 1,300? State an answer for each.
What is bias remains the same and variance decreases?
Maya is playing a trivia game with multiple choice questions. Each question has 2 correct answers among 5 answer choices.
Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random.
What is the probability that Maya's first guess is CORRECT and her second guess is INCORRECT?
What is 0.3?
ATHS track Coach Hawkins wants to see if her training is leading to improvement in her sprinter. She has them all run a 100m at the beginning of the year and records their times. Then, after a full season of training, she has them run the 100m again in the same conditions (same track, same weather, etc.). She then records their new times. She runs a test to see if there is a statistically significant difference between their times at the beginning of the season, pre-training, and at the end of the season.
What is a Matched Pairs T-Test/ 2:T-Test? (must say matched pairs to get credit)
Write in words how you would find the probability of a female given that they are an AP Stats student.
What is P(Female|AP Stats Student) = P(Female AP Stats Student)/P(AP Stats Student)?
A survey was sent out on a new phone app to try to get information about all people in the United States. However, mainly younger Americans (aged 14-30) have this app on their phone. This is an example of ___.
What is undercoverage bias?
This is the expected value equation.
What is E(X) = ∑(xi)*P(xi)?
How can you find whether or not a data point is an outlier mathematically?
What is
> Q3 + 1.5(IQR)
< Q1 - 1.5(IQR)
The probability that Sue purchases a dress is 3/5. If she does buy a dress, the probability that she buys shoes is 5/8. If she does not buy a dress, the probability that she buys shoes is 1/4. If you learn Sue bought shoes, what is the probability that she bought a dress?
What is 15/19 = 0.789?
Mr. Paulson has noticed that a couple of his students are taking AP Calculus BC at the same time as they are taking AP Statistics. He wonders if there is a correlation between taking BC Calculus at the same time and good performance on the AP Statistics tests. He separates students into 3 groups: Students taking AB Cal and Statistics, students taking BC Calc and statistics, and students only taking Statistics. Then he looks at how many students in each group have a grade of A or B, C or D, and finally E and below. Based on the results of his test, he will be able to determine whether the proportion of students who perform well in the class differs between which/how many math courses they are taking.
What is Chi Squared Test for Independence?
An airport screens bags for forbidden items, and an alarm is supposed to be triggered when a forbidden item is detected. Suppose 5% of bags contain forbidden items. If a bag contains a forbidden item, there is a 98% chance that it triggers the alarm. If a bag does not contain a forbidden item, there is an 8% chance that it triggers the alarm.
Given a randomly chosen bag triggers the alarm, what is the probability that it contains a forbidden item?
What is 0.392?
Given the null hypothesis that all children sleep 8 hours, write a claim that would be a Type I error in context.
What is claiming all children do not sleep 8 hours when in fact, they do?
SD(X) = 3
SD(Y) = 5
SD(X-Y)= ?
What is
sqrt(3^2+5^2 = 5.831
Research indicates that the standard deviation of typical human body temperature is 0.4 degree Celsius (C). What is the standard deviation of typical human body temperature in degrees Fahrenheit (F), where
F=9/5C+32?
What is (9/5)(0.4) = 0.72?
Events D and E are independent, with P(D)= 0.6 and P(D and E)= 0.18. Which of the following is true?
A. P(E) = 0.12
B. P(E) = 0.4
C. P(D or E)= 0.28
D. P(D or E) = 0.72
E. P(D or E) = 0.9
What is D. P(D or E) = 0.72?
Researchers want to estimate the difference in # of text messages sent each day by boys and girls. They find that 200 girls had an average of 220 w/ a SD of 50 and boys had an average of 110 w/ a SD of 35. What type of statistical analysis should be used?
What is confidence interval for difference means / 2 sample confidence interval for means?
Staff members of a high school newspaper want to obtain an estimate of the average number of years teachers in the state have been teaching. At an educational conference attended by many teachers in the state, the staff members randomly selected 50 conference attendees and asked the attendees how long they have been teaching. What is the largest population to which it would be most reasonable for the staff members to generalize the results?
Who is all conference attendees?
A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing. What type of sample is this?
What is a stratified random sample?
What is the main difference between a t-distribution and the standard normal distribution?
What is the t-distribution is based off degrees of freedom?
A grocer wants to determine the proportion of milk cartons that have expired within 0.05 of the true proportion with a 95% confidence interval. What is the minimum required sample size?
What is 385?
Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a president at random (there can be repeats) for their creative writing assignments.
What is the probability that at least one of the students select a president who died in office?
What is 0.98?