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Translating research questions into hypotheses
Translate each of the following research questions into appropriate H0 and Ha.
(a) Census Bureau data show that the mean household income in the area served by a shopping mall is $62,500 per year. A market research ?rm questions shoppers at the mall to ?nd out whether the mean household income of mall shoppers is higher than that of the general population.
(b) Last year, your company's service technicians took an average of 2.6 hours to respond to trouble calls from business customers who had purchased service contracts. Do this year's data show a different average response time?
Let α be a stopping time and τ (n) a nondecreasing sequence of bounded stopping times, both for a martingale {Xn, Bn }n≥1. Show that α is also a stopping time for the martingale {Xτ (n), Bτ (n)}n≥1, in the sense that {α ≤ τ (n)}∈ Bτ (n) for each n..
suppose that you are trying to estimate average iq and its standard deviation. you know that iqs are distributed
Based on this survey, what conclusions can you reach about the use of the Internet at work.
let x be a continuous distribution with probability density function fx2 x32 if x??2 and fx0 otherwiselet yx2.
What is the expected value and variance of daily revenue (Y) from the machine, if X, the number of cans sold per day has E(X)=125, and Var(X)=50?
If the rods' lengths produced by your line are normally distributed, with a mean equal to the target of 0.2 meters, and a standard deviation of 0.015m, what percentage of rods will be scrapped?
According to the historical data, the life expectancy in Argentina is equal to the life expectancy in Bolivia. A new study has been made to see whether this has changed.
an industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. the lower and upper
a store is running a promotion during which customers have two options for payment. option one is to pay 90 of the
an urn contains nine white balls and 11 black balls. a ball is drawn and replaced. if the ball is white your opponent
Have your program repeat this experiment a number of times to estimate the expected number of selections necessary in order that the sum of the chosen numbers first exceeds 1. On the basis of your experiments, what is your estimate for this number..
Estimate u with an approximate 95% confidence interval. Estimate p, the proportion of measurements in the population that are greater than 30, with an approximate 95% confidence interval.
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