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A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 15 per hour. It takes an average of two minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed.
a. Find the probability that the employee is idle.
b. Find the proportion of time that the employee is busy.
c. Find the average number of people receiving and waiting to receive information.
d. Find the average number of people waiting in line to get information.
e. Find the average time a person seeking information spends at the desk.
f. Find the expected time a person spends waiting in line to have his question answered.
Would it be reasonable to conclude that the population mean is 63 pounds?
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Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance and determine the p-value and interpret its meaning.
If p denotes the p -value of the corresponding hypothesis test, which of the following is true?
Can we conclude at the 5% significance level that the population mean weight of athletic men is lower than the population mean weight of non-athletic men?
Get a test statistic and p -value. Interpret results at α = .01.
Using symbols state hypotheses (H 0 and H 1 ) for two-tailed test. Sketch suitable distribution and locate critical region for a = 0.05.
would this prove that they are exceeding their goal, using α = 0.025?
Find the probability using the Poisson distribution.
A human factors psychologist studied three computer keyboard designs.
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P(A 1 )= .20, P(A 2 ), and P(A 3 )= .40. P(B 1 I A 1 ) = .25. P(B 1 I A 2 ) = .05. P(B 1 I A 3 )=.10. Use Bayes' theorem to determine P(A 3 I B 1 )
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