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Q1. Find the 95% confidence interval for the standard deviation of the diameter of oranges if a sample of 47 oranges had a standard deviation of 0.18 inches.
Q2. Jimmy Stewart, Tucson's premier weather "guy", claims that the average of the highest temperatures in the U.S. is 93 degrees. A random sample of 35 cities that have high temperatures has an average of 95.8 degrees with a standard deviation of 4.2. Test Jimmy's claim at "alpha" = 0.05.
Q3. Nationwide, the average salary of college graduates is $39,000. A college placement officer feels that the average is higher for graduates at her college. She surveys 31 graduates and finds an average of $40,500 with a standard deviation of $4150. Can her claim be supported at "alpha" = 0.05? What about at "alpha" = 0.01?
Let R be a principal ideal domain and let M be a torsion R-module. Prove that M is irreducible iff M=Rm for any nonzero element m in M where the annihilator of m is a nonzero prime ideal (p)
Misery loves company. It is time for the PE (professional engineer's exam). The results of the national test were normally distributed around the mean score of 70.
How many independent network servers would be needed if each has 99 percent reliability? (b) If each has 90 percent reliability?
The Sony corporation produces a Walkman that requires two AA Batteries. The mean life of these batteries in this product is 35.0 hours. The distribtion of the battery lives closely follows the normal probability distribtion with a standard deviati..
Suppose a doctor uses the average x bar for two tests taken about a week apart. what is the probability of x bar less than 3500? C. Repeat part B for n = 3 tests taken a week apart.
A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard dev..
A grab bag comprises 11 $1 prizes, 7 $5 prizes, and 2 $20 prizes. Three prizes are selected at random. Determine the probability which exactly two $20 prizes are chosen?
A newspaper reports have 58 percent of farmers are planning to plant genetically modified crops presesnt year. The article adds that the poll is based on a random sample.
Multiple choice questions based on regression - dependent variable Y and an independent variable X is provided.
q1. two opponents a and b are to play a game which consists of two indenotpendent rounds. to win the game a player must
Assess the impact of an event on a population. I ran a survey before the event and then I ran the survey after the event. The collected responses matched between prior to the event and after. I used paired t-test to determine if the event had a posit..
Show that if Z1 and Z2 are independent standard normal random variables, then for all ρ (correlation), Z 1 and ρZ 1 +sqrt(1-ρ 2 )*Z 2 are standard normal with correlation ρ.
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