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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.
Using α = 0.05, does this sample provide enough evidence to conclude that the average utility bill in Delaware was lower in the winter of 2011-2012 than it was in the winter of 2010-2011?
Here is a simple probability model for multiple-choice tests. Assume that each student has probability p of correctly answering the question chosen at random from universe of possible questions.
Students need a score of 60 points to pass the exam. What is the probability that a randomly selected student will pas the exam? (P(X ≥ 60))
The data below show the average daily high temperature for Chicago, Illinois, for twelve recent spring and summer months. Create a stem-and -leaf diagram for the data.
At the .05 significance level, can the developer conclude there is a difference in the mean income? Use the five-step hypothesis testing procedure.
Using Analysis of Variance (ANOVA) test at 5% level if there are important differences in mean sales calls made across the three branches.
1st a confidence interval is constructed without utilizing the finite population correction factor.
The Aloha Banking Co. is studying ATM use in suburban Honolulu. A sample of 30 ATM's showed they were used the following number of times yesterday.
Of the drivers who stop at a gas station, 92% purchase gasoline, and 6% purchase both gasoline and oil. A total of 7% purchase oil.
For adults 60 years or older, they found a mean daily intake of 721 mg with a standard deviation of 454 mg. Using these values for the mean μ and standard deviation σ for the U.S. population:
If you were designing a study which group, a population or a sample, would you gather data from and why? Provide an explanation regarding whether or not the standard deviation is a biased or unbiased estimate.
The standard deviation in cash bonuses is $15,618 and the standard deviation in annual pay is $28,077. The estimated slope of best fitting line relating x and y is?
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