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Company A faces the decision of buying a new flexible manufacturing system or keeping the current system.
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders.
In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
In a carnival game the players selects two coins from a bag containing two silver dollars and six slugs. Write down the probability distribution.
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis?
An archer has probability 0.3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
A personal director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer.
Explain the answer, and also prove it algebraically using the definitions of mutually-exclusive and independent events.
The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.1 mg, with a standard deviation of 3.2 mg
An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides.
Let F and M be the number of female and male driver who pass through this toll, respectively. We have N = F + M.
A student of the author surveyed her friends and found that among 20 males, 4 smoke and among 30 female friends, 6 smoke.
Constuct an unique pair of dice (6 sides) so that each of the sums 2 through 12 has an equal (nonzero i.e. cannot have two dice with all zero's).
The proportion of people aged 18-25 who currently use illicit drugs is equal to 0.20 (or 20%). Now, express the null hypothesis H0 and alternative hypothesis
A random sample of size 10 bulbs is selected from the storage room, what is the probability that exactly 4 of the bulbs will have a lifetime less than 16 days?
Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked as an exponential random variable
In playing the Lemonade Stand Game, Bob decreased his price per cup by two cents, from $.27 per cup to $.25 per cup.
Assuming boy and girl children are equally likely and births are independent, if parents have two children, what is the probability that at least one is a boy?
Researchers at the Cornell University Food and Brand Lab conducted an experiment at a fitness camp for adolescents (Wansink & van Ittersum, 2003)
For each of the following three scenarios, state which hypothesis test you would use from among the four introduced so far: the z test, the single-sample t test
Assume you are the manager of a paint manufacturing factory. Your company has received complaints from customers
Your opponent specifies 3 successives results of tosses of a coin, e.g. HHT. You then specify another such result, e.g. THT.
Numeric results for several independent-samples t tests are presented here. Decide whether each test is statistically significant
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3.