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a. What is the difference in appearance between a t-distribution and a z-distribution? Why do they have slightly different appearances?
b. When do we use a t-distribution rather than a z-distribution?
A manufacturer claims that he makes light bulbs each of which has a 0.9 probability of operating successfully when plugged in.
Find the probability distribution for X defined as the number of defective items drawn (Hint: You have to find P(X=0), P(X=1) and P(X=2). You may have to use both multiplicative and additive rules to find P (X=1)).
What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example?
Assume that the following four examines were tested as part of a large group that had a normally curved distribution.
Construct a time series plot. What type of pattern exists in the data? Compute the exponential smoothing forecasts for a = .2.
Healthcare issues are receiving much attention in both academic and political arenas. Compute the arithmetic mean age of the uninsured senior citizens to the nearest hundredth of a year.
According to Chebyshev's Theorem, how many students scored between 23 and 95?
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location.
Compute the z-score corresponding to each of the following values of x: What is the 50th percentile of a quantitative data set called?
A jar contains 2 black marbles and 8 white marbles. If you randomly pick 2 marbles without replacement, what is the probability that you get one marble of each color?
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