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If a group of 81 Chinese people are chosen at random, determine the probability that the average egg consumption of this group will be between 190 and 194 eggs?
The following is a payoff table giving profits for various situations. The probabilities for states of nature A, B, and C are 0.3, 0.5, and 0.2, respectively. If a perfect forecast of the future were
Test the claim that the flexibility before exercise program is less than the flexibility after exercise program at the significance level of 0.02. Note: the data is approximately normal with no outl
A normal population has mean of 75 and standard deviation of 5. You choose a sample of 40. Calculate the probability the sample mean is:
Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each and every type should be employed? How many people will this reach? Determine the solu
The following is a payoff table giving profits for various situations.
Which of the following is fact about the expected value of perfect information?
In the normal distribution what percentage of the population can be expected to be found within +/-2 standard deviation from the mean?
In a normal distribution what percentage of the population can be expected to be found within +/-3 standard deviations from the mean?
A vehicle operates a system to detect the object close to vehicle when backing up which consists of n sensors which are inspected once a month as well as repaired if necessary.
When personal computers were introduced to the market, the computer hard drive failed 10 percent of the time. Although the hard drives were inspected, only 80 percent of all defective drives were di
Assume that for a five year old automobile, the probability the engine will need repair in year 6 is 0.3, while the probability that the tires need replacing in year 6 is 0.8. The probability that b
Let X be normally distributed with the mean, μ, and standard deviation, σ=μ. Also assume Pr(-5<x<17) = 0.43. Find out the value of the mean μ.
To determine the medical charges for appendectomy, Blue Star Insurance has data from random sample of 70 patients. The sample mean cost is $510, with sample standard deviation of $70. Develop a 95%
Due to variability in the manufacturing process, the actual yielding point of sample of mild steel subjected to rising stress will usually differ from the theoretical yielding point. Let p denote tr
Let test statistic Z have a standard normal distribution when H0 : μ= μ0 is true. Compute the p-value for each of the following situations:
The cards in the well shuffled deck will be turned over one at time till the entire deck has been revealed. Approximate the probability that two cards of same rank (e.g., two sevens or two queens) w
The heights of a random sample of 50 college students yielded a sample mean of 174.5 cm, and a sample standard deviation of 6.9cm. Construct 95% UPPER and LOWER confidence intervals for the mean hei
A normal distribution has mean of µ = 100 with ? = 20. If one score is randomly chosen from this distribution, determine the probability that the score will have value between X = 90 and X = 1
Assume that you're to plan a survey of starting salaries for recent liberal arts major graduates from Penn State. From a pilot study you estimate that the standard deviation is about $8,000. What sa
The central limit theorem says if X1...Xn are random sample from unknown distribution with the mean u and variance σ^2, then X(bar) has approximately normal distribution with ( ) mean and
Assume X1...Xn is a random sample from normal ditribution with mean u and variance (sigma)^2=2.3. If we wish to find out u with accuarcy of +/-.01 with 95% of confidence, then what is the sample siz
The value of the z-score in a hypothesis test is affected by a variety of factors. Supposing that all other variables are held constant, discuss how the value of z is influenced by each of the follo
The Horizontal scale of a histogram determines the frequencies of the classes, and verticle scale measures the quantitative.