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Hardrock, a fine craft brewer, sells two brands of beers: T and D. Over the past several years, annual sales volumes of T have averaged 8,000 bottles with a standard deviation of 400 bottles, while annual sales volumes of D have averaged 1,000 bottles with a standard deviation of 300 bottles. The correlation between the sales volumes of the two brands is 0.4. T sells for $2.00 per bottle while D sells for $3.00 per bottle.
Let T and D denote the annual sales volumes for T and D respectively.
(a) What is the standard deviation of Hardrock's annual revenue from D? $___________
Compute the nonresponse rate for this study. Does this influence how you interpret these results? Write a short discussion of this issue.
a) What is the probability that 4 or more live in poverty? b) What is the probability that 3 live in poverty? c) What is the expected number (mean) that live in poverty
A sample of 49 pieces of cloth reveals a sample mean breaking strength of 69.1 pounds. State the null and alternative hypotheses.
A arbitrary sample of 8 students is selected. Illucidate the probability that among the students in the sample at least 7 are female.
Patients were instructed to record the number of panic attacks they experienced in the one-week period.
Let Y be the number of envelopes for which the machine fails to remove a check. Using the Central Limit Theorem to approximate P{Y≤10}.
The average shaft size for the E300 electric motor is .55 inch, with a standard deviation of .10 inch. It is normally distributed. What is the probability that a shaft selected at random will be between .55 and .65 inch?
The results of a survey that collected the current credit card balances for 36 undergraduate college students are given in the file "College Credit Card.'
Show that X\Y has the same cardinality as X, assuming that N has smaller cardinality than X \Y (which cannot be proved in general without the axiom of choice, to be treated in §1.5). Hint: Let B be a countably infinite subset of X \Y . Then B and ..
Suppose someone claims that students in higher years at school tend to earn more money, because they are older and have more work experience.
The manager of a sport fishing products company wants to test the null hypothesis that a certain lead fishing weights have a mean weight of 4.0 ounces. Under what conditions would the manager commit a Type 1 error?
A chemical reaction is run 12 times, and the temperature xi (in oC) and the yield yi (in percent of a theoretical maximum) is recorded each time. Compute the least-squares estimates and. Compute the error variance estimate s2. Find 95% confidence in..
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