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suppose that the mean and variance are 12 and 144, respectively. what is the probability that a sample of size 100 will yield a mean greater than 9?
A student wanted to test whether there was a difference in the mean daily hours of study for students living in four different dormitories. She selected a random sample of 50 students from each of
What is the forecast for July based on a three-month weighted moving average applied to the following past demand data and using the weights: 5, 3,and 2 (largest weight is for most recent data)? Sho
The barn does the snowball strikes the ground if it doesn't strike anything else while falling? (b) A man 1.9 m tall is standing 4 m from the edge of the barn. Will the snowball hit him?
Using a distribution approximation, calculate the probability that there are more than 10 faulty disks in a box of 500 disk
Using and s as point estimates of and , estimate the probability that a randomly selected jar will have a fill, x, that is out of specification. Assume that the process is in control and that the po
If the computer breaks down x times during t hours, it costs 50x2 dollars to fix it. How should the company select t in order to maximize the expected profit?
let X and Y be independent exponential random variables with a common parameter λ. Find the moment generating function associated with aX+Y, where a is a constant. Then find the probability d
An employer wants to set a time limit so that 80% of the employees will finish a job on time. Past history has shown that the time required to do the job is normally distributed and has a mean time
What is the value of sample mean? If the interval represents 90 % confidence interval, what would the 99 % confidence interval be?
A consumer agency has retained an independent testing firm to examine a television manufacturer's claim that its 25-inch console model consumes just 110 watts of electricity. Based on a preliminary
Printed circuit cards are placed in a functional test after being populated with semiconductor chips. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample
An accounting professor claims that no more than one-quarter of undergraduate business students will major in accounting. What is the probabillity that in a random sample of 1,200 undergraduate busi
At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds? Determine the p-value.
The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounces.
A manufacturing process produces itmes whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean
a large truckn firm, concerned about safety, wants to estmate the number of miles traveled per day by its driver.a sample of 64 drivers gave a sample mean of 268 miles traveled per day, and a sample
A standard deviation of $150. Use the standard normal distribution to calculate the following: What is the probability that the income is between $1,000 and $1,800?
A box contains 1 black ball and 1 white ball. a ball is drawn at random, then replaced in the box with an additional ball of the same color. then a second ball is drawn at random from the three bal
The principal at Lakewood Elementary would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. How large a sample is needed if the princi
The terms in parentheses are standard errors of the OLSE's and the terms in square brackets are the corresponding t-statistics. Draw the regression line on a well-labeled graph, carefully labeling coe
A random sample of 25 computers drawn from United Health Center shows that the distribution is essentially normal with a mean repair cost of $120 and a standard deviation of $32. Construct a 98% con
The probability that a student passes mathematics is 2/3 and the probability that he passes biology is 4/9. If the probability of passing one course is 4/5, what is the probability that he will pas
A company ships computer components in boxes that contain 20 items. Assume that the probability of a defective computer component is 0.2. Find the probability that the first defecr is found in the f
Calculate the limits within which the weight of the packets should lie assuming that the machine is not been classified as faulty.