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Both undergraduates and postgraduates can use the university cafeteria. Each diner can choose between buying a meal or bringing a packed lunch. (Everyone has exactly one meal each, no more and no less). The cafeteria offers a daily choice between a hot meal or a cold meal. A survey of undergraduate diners finds that 40% of them bring their own food. Overall, only 25% of the diners bring their own food. Postgraduates make up one fifth of the diners in the cafeteria.
a) What is the probability that a diner is an undergraduate and has bought a meal?
b) What is the probability that someone who has bought a meal is a postgraduate?
c) Give two different examples from the question of mutually exclusive events.
Find a 99% confidence interval estimate of the proportion of people who say that they voted.
In a simple regression analysis, you notice that the R2 value is low (less than 0.4); however, the standard error is low. What does this tell you about the analysis?
The distribution of lifetimes for a certain type of light bulb is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the 33rd percentile of the distribution of lifetimes.
A suburban hotel derives its gross income from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant.
No, there is not sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -0.65 is inside the acceptance region (-1.96,1.96).
In some ways, ANOVA is like what communications engineers refer to as "signal-to-noise ratio". What could I possibly mean by that statement?
What is the importance of the null hypothesis? Why has it been the backbone of mainstream hypothesis testing for decades? What are its limitations?
The probability that it is a camper with Canadian license plates is 0.09. What is the probability that a camper entering the Luray Caverns has Canadian license plates?
Please describe and define what the chi-square analysis is, the conditions under which it is used, and how it compares to the Pearson Correlation.
Compute average daily rainfall in the week and for weekends. Get the average of weekdays' rainfalls and average of weekend's rainfalls.
A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. The player continues to confront opponents until defeated.
The number of smokers among 120 randomly selected students will vary from group to group. Explain why that number can be described wit a normal model.
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