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The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter μ. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for μ.Number of absences012345678910Frequency147109753211[Hint: The mean and variance of a Poisson variable both equal μ, soZ = X − μμ/n has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement...
Statistics

The table below provides a frequency distribution for the winner of the Davis Cup during the period 1977-1994. Winner of Davis Cup FrequencyUnited States 6Germany 3Czechoslovakia 1Australia 3France 1Sweden 4Which measure of center, the mean, the median, or the mode is most appropriate here? Why?
Statistics

Scores on the quantitative Graduate Record Exam (GRE) have a mean of 584 and a standard deviation of 151. Assume the scores are normally distributed. Suppose agraduate school requires (among other qualifications) that applicants score at or above the 90th percentile on the GRE quantitative exam. What score is required? Besure to include a picture and the calculator sequence.

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Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 4 Colonials games are chosen at random, what is theprobability that exactly 2 of those games are won by the Colonials .Round your response to at least three decimal places
statistics

Provide an appropriate response.The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59.
statistics

A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve faxmessages, and consider a sample of 25 incoming calls. (Round your answers to three decimal places.)(a) What is the probability that at most 4 of the calls involve a fax message?(b) What is the probability that exactly 4 of the calls involve a fax message?(c) What is the probability that at least 4 of the calls involve a...

Statistics

A study on students drinking habits asks a random sample of 124"non-greek" UF students how many alcoholic beverages they haveconsumed in the past week. The samplereveals an average of 3.66alcoholic drinks, with a standard deviation of 2.82. Construct a90% confidence interval for the true average number of alcoholicdrinks all UF"non-greek" students have in a one week period.How does one do this?
statistics

A major hurricane is a hurricane with wund speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certaincountry's mainland per year was about .43. Find the probability that in a given year A exactly one major hurricane will strike the mainland, B at most one hurricanewill strike the mainland, C mor than one major hurricane will strike mainland
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Use the given data to find the best predicted value of the response variable.Based on the data from six students, the regression equation relating number of hours of preparation (x) and test score (y) is = 67.3 + 1.07x. The same data yieldr=0.224 and =75.2. What is the best predicted test score for a student who spent 4 hours preparing for the test?

Statistics

The mean is mu = 15.2 and the standard deviation is sigma = 0.9.Find the probability that X is between 14.3 and 16.1.