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Passengers enter a train station according to a Poisson process of rate 4. A train departs the station at a random time uniformly distributed between 0 and 5, and a second train departs at time 5.
(a) Find the expected number of passengers who wait for 1 unit of time or less.
(b) Find P ( at least three who wait more than 1 unit of time).
If the z score is less than 0, what can be said of the corresponding raw score?
A telephone survey utilized a sampling frame of 2000 numbers, and had a response rate of 25%. A question asked respondents if they preferred Brand 1, Brand 2, or Brand 3.
Determine the probability, P(Z
Of all 3 - 5 year old children, 71% are enrolled in school. If a sample of 400 children are randomly selected, what is the probability that at least 300 will be enrolled in school.
A IRS auditor randomly selects 3 tax returns from 48 returns of which 9 contain errors. What is the probability that she selects none of those containing errors? Round to four decimal places.
A teacher wants to know if students in her biology class did significantly better on an exam after instruction using authentic learning. The scores pre and post test are listed below. Based on an α = .05, what can the teacher conclude?
Test at 1% significance level that there exists a difference in proportion between men and women drivers who always use seat belts.
The KW water is provided to approximately 750,000 people, who are served through more than 362,000 accounts. All accounts are metered and billed monthly.
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph.
A statistics practitioner conducted a two-factor analysis of variance experiment with a =4, b = 3, and r = 8. The sum of squares are listed here:
At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations? State your null and alternative hypotheses. (Note: while the small sample size could justify use of the non- parametric Kruskal-W..
Which of the following statements is not true of the null hypothesis? A) It is your theory B) It is what you would expect by chance alone C) Assumes things to be equal D) None of the above
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