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A class has 2n (a large number) students The students are separated into two groups A and B each with n students. Group A students take exam A and earn iid scores X1,..., Xn. Group B students take exam B, earning iid scores Y1,..., Yn. The two exams are similar but different; however, the exams were designed so that a student's score X on exam A or Y on exam B have the same mean and variance σ2 = 100. For each exam, we form the sample mean statistic
Based on the statistic D = MA - MB, use the central limit theorem to design a significance test at significance level α = 0.05 for the hypothesis H0 that a students score on the two exams has the same mean µ and variance σ2 = 100. What is the rejection region if n = 100? Make sure to specify any additional assumptions that you need to make; however, try to make as few additional assumptions as possible
The given data show the age distribution of top 14 doctors in emergency faculty of local hospital.
A manufacturer of executive jet aircraft is concerned with its profit picture over the short run. It produces two different models of planes, x1 and x2. Its profits are $30,000 for each x1 and $20,000 for each x2. There are two major constraints o..
consider the experiment of selecting a playing card from a deck of 52 playing cards. each card corresponds to a sample
Based on the sample data, and using the 0.025 level of significance, can we conclude that the new exhibit has increased the average contribution of exhibit patrons? Identify and interpret the p-value for the test.
1. a basketball player makes 60 of her free throws. she takes 7 free throws in a game. if the shots are independent of
State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
the input signal at the antenna input of a digital radio receiver is 1 microvolt rms. assume the receiver input
If circuit switching is utilized, how many user can this access link support?
A federal report find that a lie detector test given to truthful persons have a probability of 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants to take a lie detect test. Suppose that all 12 applicants answer truthfull..
The results for college x was a mean of 5 hours and an estimated population variance of 2 hours: for college y, m= 4, s 2 =1.5; and for college Z, M= 6, s 2 =2.5 what should you conclude? Use the .5 level.
Perform the chisquare test for a uniform distribution. At α = .05, does this sample contradict the assumption that sales are the same for each beverage?
Calculate η 2 , the percentage of variance accounted for by treatment.
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