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There are 1000 natural numbers a1, a2,...., a1000. Prove that of the numbers 3a1, 3a2,...., 3a1000, there must be 56 of them which have the same remainder when divided by 19.(Hint: this is not a misprint. If the best you can do is prove the statement with 56 replaced by 53, then you're missing something.)
Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion?
Suppose that the National Labor Relations Board (NLRB) wishes to estimate the average hourly wage rate for a certain classification of skilled workers. It wishes to be 95% certain to get an estimate of sample mean within 0.05 of the truth.
Of these, 36 are seniors, 30 are chemistry majors, and 8 are neither. A student is selected at random from the class. What is the probability that the student is both a senior and a chemistry major?
Do these measures of central tendency agree? Explain. What could the measures of dispersion tell us about the results of the quiz?
In a random sample of 150 sports cars, 60 failed emissions on the first pass. Is there sufficient evidence to indicate that the percentage of first failure for sports cars is higher than the percentage for all passenger cars?
B is independent of C or not? Focus on probabilities assigned in the subsets, 0.05 is repeated in C, but 0.10 is repeated in B, so P(A∩C)=?
At the .01 significance level, is there a relationship between job pressure and age?
The probability that Pete will catch fish when he goes fishing is .8. Pete is going to fish three days next week. Define the random variable x to be the number of day Pete catches fish. (hint. binomial distribution)
research at a university indicates that 5 percent of the students change their major area of study after their first
Construct ogive cure and numerical measures for the discrete data.
A population with u=73 and o=9 is transformed into a new population with u=10 and o=2. What is the new value for each of the following scores in the population?
Write a short report dicussing the claim that average diastolic blood pressure in 1958 (variable dbp58) is the same for men who were alive in 1968 and for men who were not.
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