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Waiting times for n = 105 people are independently observed. It was found that 25 peoplewaited less than 2 minutes, 30 people waited between 2 and 9 minutes, and 50 people waitedmore than 9 minutes. A manager is interested in testing whether waiting the time X isexponentially distributed. Recall that the exponential cdf is F(x) = 1 - e -x/λ with mean λ. (a) Under H0 that X is exponential, what is the estimated expected number of people towait less than 2 minutes? Between 2 and 9 minutes? More than 9 minutes? (b) What is the chi-square test statistic for H0? What are the degrees of freedom? (c) With a significance level of 0.05, what is the manager's conclusion? In a study on desired heights, 50 randomly sampled college students were asked to reportactual height and ideal height. The difference between the two variables (ideal minus actual)was also recorded. Summary statistics are shown in the table below.mean stddev actual 63.1 4.1 ideal 65.6 3.9 difference 2.5 2.2 Is there significant evidence that all college students would on average rather be taller? Answer with the appropriate hypothesis test with α = .05.
The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns.
What is the probability that separates the bottom 25 percent from the rest of the distribution.
Suppose a bookie will give you $6 for every $1 you risk if you pick the winner in 3 ballgames. For every $1 bet, you either lose $1 or gain $6. What is the bookies expected earnings per dollar wagered?
Write out expressions for all sums of squares (in terms of the temperatures yijk m , using the dot-and-bar notation), including the (corrected) total sum of squares and error sum of squares.
A sociologist claims that the success of students in college (measured by their GPA) is related to their family's income. For a sample of 20 students, the coefficient of correlation is 0.40. Using the 0.01 significance level
What is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander?
A researcher predicts that the percentage of people who do no watch TV is higher now than before the advent of the Internet. Let the p1 denote the population proportion of American adults in 1975 who reported watching no TV. Let p2 denote the corresp..
Standard deviation of 12 ounces. Find the probability of randomly selecting a newborn child whose weight is less than 107 ounces.
On opening day one season, 10 major league baseball games were played and they lasted the following numbers of minutes. Find the sample variance.
If 1000 men and 1000 women are to be interviewed, how accurately could you estimate the difference in the proportions who think that the performance of their atheltics teams has a positive impact on the perceived prestige of the institutions? Find..
Use the relative frequency approach to construct a probability distribution for the number of tests taken.
Has the average community level of suspended particles for the month of August exceeded 30u/m3?
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