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Theoretical probability and Experimental Probability
Suppose you roll a 6 sided die 600 times and get a one 66 times, a two 150 times, a three 120 times, a four 78 times, a five 102 times, and a six 84 times.
a. State the sample space.
b. Find the experimental probability for each of the outcomes.
c. Find the theoretical probability for each of the outcomes of the experiment of rolling a 6 sided die.
d. Comparing the experimental and theoretical probabilities, can you say the die used in this experiment is a fair die? Why or why not?
Compare value of test statistics F obtained in part(2) with value of t 2 , square of test statistic for testing H 0 : β 1 =0 that was needed in test null hypothesis that true slope is 0. Interpret the results of this test.
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Test hypothesis that Site B is more successful in initiating acquaintances than Site A. Use alpha = .05.
One person's file is chosen at random. Find out probability that selected person will fall into following categories. Book keeping.
Can we conclude there is a difference in mean number of surgeries performed by hospital or by day of week?
Based on this sample, is Moe correct in his assertion? Write up formal commentary of results of your test.
Reading highway signs is not always easy, especially if your vision is imperfect. Vision in general tends to deteriorate with age. Two researchers conducted a study to determine if the distance at which a standard highway sign could be recognized ..
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that:
The manufacturer of a coffee dispensing machine claims the ounces per cup is normally distributed with population mean equal to 8 ounces and standard deviation equal to 0.9 ounces. If 50 cups of coffee were measured, what is the possibility that- ..
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