Probability
You flip two independent honest coins, what is the probability that you get an outcome of two heads?
What is 0.25? (0.5)(0.5)
According to the Law School Admission Council, in the fall of 2007 66% of law school applicants were accepted. A law school training program claims that 163 of the 240 students trained in 2006 were admitted to law school. These trainees are representative of the population of law school applicants. Does the P-value support if this training program has demonstrated a real improvement over the national average?
What is no? P = 0.26. 1-propZtest HO = 0.66 HA is greater than 0.66
What is the formula for Z*?
What is invNorm((1+c)/2)?
What is the 10% rule for Bernoulli trials?
What is the necessity of using only 10% of all samples in the population when drawing without replacement in order to keep trials acting independent within a finite population?
A study collects salaries of a random sample of CEOs in their city. Are they working with categorical or quantitative data?
What is quantitative?
If you draw a card at random from a well-shuffled deck, is getting an ace independent of suit?
What is yes?
(Ace) = 4/52, (Ace given any suit) = 1/13
Wildlife experts inspect 153 deer and find that 32 of them are crying ticks that test positive for Lyme disease. Create a 90% confidence interval for the percentage of of deer that may carry such ticks.
What is 1-propZInt (0.15507,0.26323)?
What is the formula for the probability of A given B?
What is P(AlB) = (P(A or B))/P(B)?
The EPA estimates a mean of 24.8 mpg and standard deviation of 6.2 mpg for highway driving. What percent of cars get more than 31 mpg?
What is about 16% or .16? normalcdf(31, 1E99, 24.8, 6.2)
What is an alternative hypothesis?
What is the hypothesis that states a population parameter does not equal the value specified by the null hypothesis?
Suppose that 25% of people own a dog, 29% own a cat, and 12% own both. What is the probability that a randomly drawn person owns a dog or a cat?
What is 0.42? 0.25 + 0.29 - 0.12 = 0.42
A Vermont study published by the American Academy of Pediatrics examined parental influence on teenager's decision to smoke. Students were asked how their parents felt about smoking and were asked 2 years later of they had become smokers. 54 of the 284 students whose parents were against smoking had become smokers. 11 of the 41 students who initially said their parents were lenient about smoking had become smokers. If the null is that parental influence does effect teenager's decisions to smoke, do you reject or fail to reject the null?
What is fail to reject? 2-propZtest P = 0.2422
What is the formula for a Z score?
What is (x-μ)/σ?
A basketball player makes 80% of his free throws. Assuming his shots are independent, what is the probability that he misses for the first time on his 5th attempt?
What is 0.0819? (0.8)4 (0.2) OR geometpdf(0.2, 5)
What is the definition of extrapolation?
Travis's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 1% of those. Betty and Chuck each wash 30% of the dishes, but Betty breaks 1% of hers and Chuck breaks 3% of his. You hear a dish break while at dinner, what is the probability Chuck is on the job?
What is 0.563?
A man commutes to work every day, someone that used to live there said that route A averages 5 minutes faster than route B. Each day the man flips a coin to decide which route to take, driving each route 20 times. Route A averages 40 minutes with a SD of 3 minsutes, route B averages 43 minutes with a SD of 2 minutes. Find a 95% confidence interval for the difference in average commute times for the two routes.
What is 2-SampleTInt (1.36, 4.64)
What is the formula for chi squared?
What is Σ (obs. - exp.)2/exp.
A is Tennis player makes makes a successful serve 70% of the time. Assume that each shot is independent, if she serves 6 times what is the probability that she gets exactly 4 serves in?
What is 0.324? binompdf(6,0.7,4)
What is a discrete random variable?
What is a variable in which the outcomes can be counted and each outcome has a measurable and positive probability?
A company's records indicate that on any given day about 1% of day shift and 2% of night shift employees will miss work. 60% of employees work the day shift. what percent of employees are absent on any given day?
What is 1.4%?
A company says its nut mixture contains 10% Brazil nuts, 20% cashews, 20% almonds, 10% hazelnuts and the rest are peanuts. After buying a large can and separating the nuts, you find there are 112g of Brazil nuts, 183g of cashews, 207g of almonds, 71g of hazelnuts, and 446g of peanuts. Does your mix differ significantly from what the company advertises?
What is you cannot compute a goodness-of-fit test because weights are quantitative, not counts?
What is the formula for the standard deviation of a binomial distribution, x, with parameters n and p?
What is σx = √np(1 - p)?
Estimate the P-value for the absolute value of t is greater than 1.78 with 22 degrees of freedom?
What is 0.0889? 2tcdf(1.78, 1E99, 22)
Which vocabulary word is defined by its ability to measure the percentage of variation in a dependent variable explained by one or more independent variables?
What is the coefficient of determination OR r2?