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For a hypothesis comparing two population means, what is the critical value for a one-tailed hypothesis test, using a 5% level of significance level, with both sample sizes equal to 13? Assume the population standard deviations are equal.
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A running shoe company wants to sponsor the fastest 3% of runners. You know that in this race, the running times are normally distributed with a mean of 6.8 minutes and a standard deviation of 0.37 minutes. How fast woul ...
The time spent (in days) waiting for a heart transplant can be approximated by a normal distribution. Day range of 60-200. u=129 o=20.2. (a) What is the shortest number of days spent that would put a patient in the top ...
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Let X be a random variable with range RX = {-1, 0, 1} and let P(X = 1) = P(X = -1) = p/2 for some p ∈ [0, 1]. a) Compute P(X = 0). b) Compute the expectation E[X] and variance Var(X) of X as a function of p, and determin ...
For an environmental group, it is known that 75% of their door-to-door solicitations result in a donation of some kind. Find the probability that... (Hint: first determine what is a 'success' and what is a 'failure' base ...
A normal distribution has a mean equal to 43. What is the standard deviation of this normal distribution if 2.5% of the proportion under the curve lies to the right of x = 46.92? (Round your answer to two decimal place ...
Rand Corporation has a 0.0 probability of a return of 0.6, a 0.3 probability of a rate of return of 0.05, and the remaining probability of a 0.92 rate of return. What is the expected rate of return of Rand Corporation?
In a club with 9 male and 10 female? members, a 4?-member committee will be randomly chosen. Find the probability that the committee contains at least 3 women.
A manufacturer obtains? clock-radios from three different? subcontractors: 10?% from? A, 30?% from? B, and 60?% from C. The defective rates for these subcontractors are 3?%, 2 %, and 5?% respectively. If a defective? clo ...
A new type of soft drink from Frackly Inc. is sold in 500 milliliter (ml) bottles. The mean volume of drink placed in a bottle is 490 ml with a standard deviation of 6.1 ml. Assuming a normal distribution of the data, wh ...
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