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A marketing research firm wishes to estimate the proportion of adults who are planning to buy a new car in the next 6 months. A simple random sample of 100 adults led to 22 who were planning to buy a new car in the next 6 months.
a. Compute the 95% confidence interval for the proportion of adults who are planning to buy a new car in the next 6 months.
b. Interpret this confidence interval.
c. How large a sample size will need to be selected if we wish to have a 95% confidence interval that is accurate to within 1%.
If for a certain normal random variable X, P (X 650) = 0.0227, ?nd the standard deviation of X.
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Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
World grain demand. Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand.
Find the p-value for each of the following hypothesis testing situations.
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Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected.
Important information about Probability, Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
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