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Let X represent the SAT score of an entering freshman at University X. The random variable X is known to have a N(1200, 90) distribution. Let Y represent the SAT score of an entering freshman at University Y. The random variable Y is known to have a N(1215, 110) distribution. A random sample of 100 freshmen is obtained from each university. Let = the sample mean of the 100 scores from University X, and = the sample mean of the 100 scores from University Y.
What is the probability that will x be greater than y?
Dr. H wants to conduct a statistical test that will show her new medication to be effective in decreasing violence in criminals. What is the null hypothesis? What is the alternate hypothesis?
Which of the following studies used a participant observer approach?
A building contractor pays $500 to bid on a contract. If he gets the contract, the probability of which he estimates to be 0.70, he will make a profit of $50,000.
Suppose the horses in a large stable have a mean weight of 1464 lbs, and a standard deviation of 111. What is the probability that the mean weight of the sample horses would differ from the population mean by less than 11 lbs if 34 horses are samp..
At a large department store, the amount a shopper spent and the shopper's gender (male or female) were recorded. To determine if gender is useful in explaining the amount of money a shopper spends at the store we could
It was reported that 20 readers responded and 87% said "no" whiles 13% said "yes". Identify four major flaws of the situation. Explain why you chose them.
Suppose we wish to test the hypothesis H0: = µ2 vs. H1: = µ≠2 We find a two sided p-value of .03 and a 95% CI for µ of (1.5, 4.0) Are these two results possibly compatible? Why or why not?
A quality engineer in a light bulb manufacturing factory is planning a study to estimate the average life of a large shipment of light bulbs.
Given that this sample is extremely large, can the responses be considered to be representative of the population of the United States? Explain.
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean + 3 Standard Deviation) of having enough seating ther..
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9000.
Explain the purpose of the critical value in a hypothesis test, how do you find the critical value and what purpose does it play?
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