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Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
What value of k makes this a valid probability density function: f(x) = kx^2 for 1 < x < 3. Answer to 4 decimal places. Using your answer to part (i), what is the mean of X? Answer to THREE deci
A newspaper finds that the mean number of typographical errors per page is three. Find the probability that:?
Rework problem 22 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 13 board members: 9 females, and 4 males including Larry.
Soybean meal is 16% protein, cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320 lbs mixture that is 13% protein? How many lbs of cornmeal should be in the m
Two cards are chosen at random from a deck of 52 cards without replacement. What is the probability of choosing a king and the other is a queen?
Edgar and Andrew are playing a card game with a deck of equally likely cards. The rule of the game is: Edgar draws 5 cards randomly from a deck. If his hand contains a pair, he wins. If not, then i
A heavy-equipment salesperson can contact either one or two customers per day with probability of 1 and 2 , respectively. Each contact will result in either no sale or a $50,000 33 sale, with the p
Find the probability that on the next sample he concludes the process mean has shifted purely due to random chance. What did you assume in order to find this probability?
It is known that diskettes produced by a certain company will be defective with probability 0.02, independently of each other. The company sells the diskettes in packages of size 12 and offers a mo
Of the microprocessors manufactured by a certain process, 20% are defective. Five microprocessors are chosen at random. Assume they function independently.
The US Army Corps of Engineers' study on the DDT contamination of fish in the Tennessee River (Alabama) revealed the following: 52 percent of the fish are found between 275 and 300 miles, 39% are fo
A bag contains 3 coins, one of which has a tail on both sides while the other two coins are normal (one head and one tail). A coin is chosen at random from the bag and tossed 3 times. Let X be the n
Suppose that the computer rating service is to choose the top three from the group of 10, but is not to rank the three? In how many different ways can the rating service choose the three to be desig
Consider the same information as part c and assume the rating service makes its choice by chance. Say there is a company (company X) that has two brands in the group of 10. What is the probability t
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop after the end of a run. Suppose that the main chute deploys with probability 0.99, and that if
One concern in the evaluation of research results is that the subjects in one treatment condition may be substantially different (older, smarter, and so on) than the subjects in another condition. H
The actual number of surveyed graduates who stayed at their first job less than two years is _________.
The estimated standard error for the independent-measures t statistic provides a measure of how much difference should exist, on average, between two sample means for samples selected from the same
The prior probabilities for events A1 and A2 are P(A1) = .40 and P(A2) = .60. It is also known that P(A1 A2) = 0. Suppose P(B | A1) = .20 and P(B | A2) = .05.
A researcher computes the pooled variance for two samples and obtains a value of 120. If one of the samples has n = 5 scores and the second has n = 10 scores, then what is the value of the estimated
Which set of characteristics is most likely to produce a significant difference for an independent-measures t test? Please explain your response.
The numerator of the repeated-measures t formula measures how much difference there is between the sample mean and the hypothesized population mean. Explain your response.
64% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consi