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Suppose bolts are being manufactured using a process so that it is known that the length of the bolts follows a normal distribution with standard deviation 50 mm. The manufacturer wants to check that the mean length of their bolts is 160 mm, and so takes a sample of 50 bolts and uses a one tail test with ? = .01 (i.e. H0: µ ? 160). What is the probability of a type II error if the actual mean length is 162.5?. Draw the power curve.
Calculate the test statistic for testing the null hypothesis. The slass mean will be not be signfically different from the population mean. What is your decision about the null hypothesis?"
A raincoat manufacturer wants to know whether customers prefer any specific color over other colors in raincoats. He selects a random sample of 50 raincoats sold and notes the colors. At a = 0.10, is there a color preference for the raincoats?
What are the assumptions underlying a normal distribution? What are the assumptions underlying a binomial distribution? Why do we want to assume that our sample data represent a population distribution?
Use multiplication of Taylor series to find the quartic Taylor polynomial about 0 for the function h(x)=(cosx)ln(1+x) evaluating the cefficients
Laura wanted to build a multiple regression model based on advertising expenditures and Coffee Time's price index. Based on the selection of all normal values, she obtained the following:
Indicate your hypotheses, decision rule, statistical decision and management conclusion using the critical value and then find the p-value and state your decision rule, statistical decision and management conclusion using this method.
The probability of occurrence (P(X)). Compute the Expected Value (Mean), The Variance, and The Standard Deviation for this random variable.
Reading highway signs is not always easy, especially if your vision is imperfect. Vision in general tends to deteriorate with age. Two researchers conducted a study to determine if the distance at which a standard highway sign could be recognized ..
What is the probability you pick a plum and Which of the following is a legitimate probability distribution for this situation
A medical doctor wishes to test the claim that the standard deviation of the systolic blood pressure of deep sea divers is less than 450. To do so, she selected a random sample of 20 divers and found s = 432.
How large should n be so that the standard deviation of is no more than 0.01 and sampling distribution
Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians. What is the test statistic for this hypothesis test?
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