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1. Assume that the standard deviation of college student IQ's is 10. A random sample of 100 students from a college showed an average IQ of 110. Compute a 95% confidence interval for the mean IQ of students attending this college.
2. In the Idaho State Home for Runaway Girls, 25 residents were polled as to what age they ran away from home. The sample mean was 16 year old and the sample deviation was 1.9 years. Compute a 95% confidence interval for the mean age at which runaway girls leave home in Idaho.
3. The nicotine content of five cigarettes of a brand measured in milligrams are 21,19,23,19,24. Compute a 0.99 confidence interval for the average nicotine content of the brand.
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
An orchard contains 60 peach trees with each tree yielding an average of 57 peaches. For each 5 additional trees planted, the average yield per tree decreases by 3 peaches. How many trees should be planted to maximize the total yield of the orchar..
The solution to minimization, The ABC small-scale industry has production facilities for two different products. Each of the products requires three different operations
Find the fundamental matrix for differential equation.
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
if it takes a day and a half for a chicken and a half to lay an egg and a half how much does a quarter half pound of cheese weigh?
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
in a cricket match there was $32000 in prizes money to be shared among the first three teams.the first place winner gets $10000 more than the second place winner.the second place winner gets $2000. more than third place winner. calculate how much ..
A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 1,500 ft2, find the dimensions of the garden that mi..
The mass of Saturn is about 5.688 10^23 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Saturn is the mass of the sun?
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
A number is divisible by 2 if the last digit is divisible by 2. A number is divisible by 4 if the last two digits form a number divisible by 4. A number is divisible by 8 if the last three digits for a number divisible by 8.
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