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Suppose a simple random sample of size n=49 is obtained from a population with u=71 and o=21.
a) Describe the sampling distribution of x. (Distribution skewed right, left, normal, uniform, unknown, normal)
Find the mean and standard deviation of the sampling distribution of X.
b) What is P (x > 74)?
c) What is P (x less than or equal to 63.65)?
d) What is P (66.95 < x < 76.4)?
What percent of batteries have a life span that is more than 2560 hours? Would it be unusual for a battery to have a life span that is more than 2560 hours? Explain your reasoning
a and b flip coins. a starts and continues flipping until a tail occurs at which point b starts flipping and continues
1. using the data collected from the student data survey at the beginning of the course construct a
Suppose also that the mean score on test A is 85, and the standard deviation is 10; the mean score on test B is 90, and the standard deviation is 16; the scores on the two tests have a bivariate normal distribution; and the correlation of the two ..
Find the probability of getting all girls. Find the probability of getting at least one child of each sex. Find the probability of getting exactly two children of each sex.
A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sam..
The resulting equation for the line of best fit is given below, with x being observed for values between 10 and 200. If a production run was scheduled to produce 80 units, what would you predict the cost per unit to be in dollars?
When is it important to have matched pairs rather than two independent sets of data?
If the ball is red put it back into the urn. If the ball is black, replace it with a red ball. Let X be the number of picks needed to get the fourth black ball. Find E[X].
which of the following p-values would provide more evidence in support of the alternate hypothesis and against the null
A deck of cards contains 52 cards, 13 in each of four suits (hearts, diamonds, clubs and spades). Suppose you have been dealt five cards without replacement from a randomly shuffled deck of cards. Find the probability that al five cards are hearts..
Give an example of a null and alternative hypotheses. This can be a personal item or something at work. Additionally, identify the Type I and Type II Errors that could occur with your decision-making process.
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