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The Poisson distribution can be a reasonable approximation of the binomial distribution. Explain why this may/may not be true.
Describe a scenario where you believe a binomial distribution would be appropriate. Describe a scenario where you believe a geometric distribution would be appropriate. Explain your reasoning for bo
Calculate the correlation coefficient, r, for the data below
The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management beliveves that due to a new production process, the life expectancy of its tires has incre
A factory produces computer chips, and the proportion of defective chips is 0.01, i.e., p=0.01. Suppose you take a sample with 25 chips, and 1 out of them is defective. And let X be the number of de
Sixty-four randomly selected fuses were subjected to a twenty percent overload, and the time to failure was recorded. It was found that the sample average and standard deviation were x bar = 8.5 and
Now the group is 4500 people and 1000 of them are left-handed. As before, eight of them are selected and X - the number of left-handed among 8 - is recorded.
From these data, estimate the average height of all adults and calculate a bound on the error of estimation (assume that approximately 50% of adults are male).
A simple random sample of 102 engineering students was taken from a population of 750 engineering majors. It was found that out of these 102 students, 4 were civil engineering majors and 53 were ele
Every statement about a confidence interval contains two parts: the level of confidence and the interval. Suppose that an insurance agent estimating the mean loss claimed by clients after home burgl
Quality are reliability are becoming important aspects of computer hardware and software. Past experience shows that the probabiltiy of failure during the first 1000 hours of operation for 16-kbit d
Data are drawn from a relatively symmetric and bell-shaped distribution with a mean of 35 and a standard deviation of 2.
What is distribution variability and how is it linked to accuracy of statistical inference?
The assembly line that produces satellite radios has historically resulted in a 3% defective rate. A random sample of 1000 radios is drawn. What is the probability that the defective rate is great
There are 20 questions on the test. Responces are A,B, C and D. Each question is 5 points and only one response is correct. Suppose The guesses of a student are independant. If the student needs at
The expected life of refrigerators produced by the KeepItCool Company are normally distributed with a mean of 240 months and a standard deviation of 15 months. If the manufacturer wants to have to
Suppose the scores for a particular test are normally distributed with mean 76 and standard deviation 6. The probability that a student will score 89 or higher is:
The average age of vehicles registered in the United States is 96 months. Assume the population is NORMALLY DISTRIBUTED with a standard deviation of 15 months.
The number of available research personnel is 27, and Infocomp would like to avoid obtaining extra researchers. The company would like the expected future annual sales from the implemented projects to
Based on a random sampleof 25 units of a product, the sample mean is 102 pounds, with a standard deviation of 10 pounds. We want to know if there is enough evidence to establish that the average wei
Last year, a soft drink manufacturer had 21% of the market. In an effort to increase their portion of the market, the manufacturer has introduced a new flavor in their soft drinks.
Consider a hypothesis test on a mean of a normally distributed population where the hypothesis are H0: (mean)=10. H1: (mean) > 10 and the characteristicts are n=25, Standard Dev= 2, Alpha =.05 Wh
If you eat a jar of peanut butter in one week what is the probability of consuming 10 rodent hairs from the peanut butter during that week? Assume the number of rodent hairs follow a Poisson distrib
A random sample of 160 commercial customers of PayMor Lumber revealed that 32 had paid their accounts within a month of billing. Can normality be assumed for the sample proportion?
Suppose a sample of 10 observations is taken from a population with a normal distribution. The sample mean is calculated to be xmean=6 with a sample standard deviation of s=1.5. What is the upper t