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An orange juice producer buys only one kind of oranges. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce. If a sample of 100 oranges is selected:
(a) What is the probability that the average juice squeezed is less than 4.15 ounces?
(b) What is the probability that the average juice squeezed is more than 4.3 ounces?
(c) What is the probability that the average juice squeezed is between 4.15 ounces and 4.3 ounces?
(d) Do we need the Central Limit Theorem to solve (a) and (b)? Why or why not? Explain.
How does the bell-shaped curve for the sampling distribution of sample means for samples of size n = 100 compare to the bell-shaped curve for sampling distribution of sample means for samples of size n = 60.
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
Explain what the coefficient of determination, R^2 (R-squared), measures. How is it related to the sample correlation coefficient?
The first three digits of a university telphone exchange are 452. if all the sequences of the remaining four digits are equally likely, what is the probability that a randomly selected universtiy phone number contains seven distinct digits?
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For a sample with standard deviation of 10, a score of X = 44 corresponds to z-score of 0.50. Based on this info, determine the sample mean?
What is the probability that the mean life-span of a sample of 64 randomly selected bulbs will exceed 727 hours?
A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall re..
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A marketing firm asked a random set of married and single men as to how much they were willing to spend for a vacation. At *alpha*= .05, is a difference in the two amounts?
She then uses the mean and standard deviation of these values to estimate the mean value for all parts the operator is making. Construct a 95% confidence interval for the mean value assuming a normal distribution.
One sample has SS = 48 and a second sample has SS = 32. When both samples have n =5, what is each sample variance and computed pooled variance?
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