1 variable data
2 variable data
Probability
Miscellaneous
Final Jeopardy
100
Describe the distribution for...
Skewed left, median at approximately 75, range of approximately 60 (IQR of approximately 20), and no clear unusual features.
100
The point (5.1, 105) is what type of outlier?
Leverage Point
100
A bag contains 13 balls; 3 red, 5 blue, and 5 yellow. If you start taking out balls randomly one at a time (without putting them back in), what is the probability of selecting a yellow ball three times in a row?
60/1716 = 5/143 = 0.0350
100
What is Mr. Wright's favorite basketball team?
Sacramento Kings
100
Researchers are trying to determine sleep habits from high school students. They are not able to survey everyone in the school, so they are trying to decide between two sampling methods shown below. Describe what type of sampling method is being described for A and B. How do you know?
Sampling strategy A is a stratified random sample because it is divided into homogenous groups of grade level, then a simple random sample is taken out of each group.
Sampling strategy B is a random cluster sample because it is divided into heterogeneous groups of homerooms, then a simple random sample is taken to get a certain number of homerooms then everyone is sampled inside.
200
Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. According to the model, what percent of individuals scored above 500 on the GMAT?
59.5 percent
200
The correlation coefficient is found to be -0.98 between x = minutes in the bathroom and y = test grade. Interpret this correlation coefficient in context.
There is a strong and negative association between minutes in the bathroom and test score. This means that as a student spends more time in the bathroom, their test score tends to decrease.
200
Suppose the probability that a U.S. resident has traveled to Canada is 0.18, to Mexico is 0.09, and to both countries is 0.04.
What’s the probability that the resident has traveled to Mexico or Canada?
.23
200
Mr. Wright has two daughters. How old are they?
Zoey is 2 and Emma is 5.
300
The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a standard deviation of 16 days. What length of time marks the shortest 70% of all pregnancies?
274.39 days
300
Regression output done for x = rainfall (cm), y = plant growth (cm). How would you interpret the value .15 in context?
Growth is expected to increase by 0.15 cm when rainfall increases by 1 cm.
300
A check of dorm rooms on a large college campus revealed that 38% had refrigerators. Out of the rooms that had refrigerators 36% had TVs, and out of the rooms that did not have a fridge 50% had a TV. What’s the probability that a randomly selected dorm with a TV also had a refrigerator?
0.31
300
4th and 5th: How many students have a first name starting with A in this class?
6th: How many students have a first name starting with K in this class?
4th: 4 (Ava, Austin, Aidan, Angelina)
5th: 7 (Arman, Arav, Aunish, Arjun, Amber, Alex, Anna)
6th: 5 (Katherine, Kai, Kana, Kristen, Kyle)
400
Based on the summary statistics are there any outliers? Where?
Yes, at least one at 474.
Upper fence: 292 + 1.5(292 - 174) = 469
474 > 469
400
A company was measuring the amounts of Carbon-14 remaining in a sample. Based on previous measurements, an equation was found to be:
loghaty=2.00143-0.000055x
With x = years after 1900 and y = grams of Carbon-14 remaining.
How much would be left in the year 9400 (7500 years after 1900)?
38.8 grams
400
Six out of 18 cats at the shelter are male. Eight out of 24 dogs at the shelter are male. There are a total of 42 cats and dogs at the shelter. Is the gender of the animal independent from the species of the animal? Explain.
Yes (6/18 = 14/42, 6/14 = 18/42, (18/42)(14/42) = 6/42).
400
What elementary school did Mr. Wright go to?
Valley Oak