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When we test a simple null hypothesis against a composite alternative, a critical region is said to be unbiased if the corresponding power function takes on its minimum value at the value of the parameter assumed under the null hypothesis. In other words, a critical region is unbiased if the probability of rejecting the null hypothesis is least when the null hypothesis is true. Given a single observation of the random variable X having the density
where -1 θ 1, show that the critical region x α provides an unbiased critical region of size α for testing the null hypothesis θ = 0 against the alternative hypothesis θ 0.
Given following financing project being considered by venture film, determine critical path probability of completion by 17 weeks.
Comparison of paired and unpaired samples test - Identify which of the two tests (Independent samples and Paired samples) test is the preferred test and justify your choice.
suppose that 14 individuals take a two-day course that is supposed to improve their knowledge of web page design which
test at the 0.01 level, was the mean time for the Delta visits significantly less than that for the British Airway visits? Identify and interpret the p-value for the test.
the probability of a roulette ball landing on black is approximately 47.4. find the probability that the ball lands on
The Palace Hotel believes it's customers may be waiting too long for room service. The hotel operations manager knows that the time for room service orders is normally distributed and he sampled 10 room service orders during a 3-day period
a producer of staplers has received a forecasted demand of 10000 staplers for the coming month. fixed costs are 11545
the citizens of a certain community were asked to choose their favorite pet. the pie chart below shows the distribution
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
customer arrives at a checkout counter in a department store have a poisson distribution with average of 4 arrivals
The following table presents data on political party affiliation and class level for sample of students in certain university: If the student is selected at random from sample, determine the probability that student is Republican.
What is the probability that a random sample of 49 different one-hour shopping periods will yield a sample mean between 441 and 446 shoppers?
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