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Question 1. There is a new drug that is used to treat leukemia. The following data represents the remission time in weeks for a random sample of 21 patients using the drug.
State the Test Statistic of: Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01?
Question 2: We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.
Compute an F-statistic for each linear construct and determine its significance.
What percent of the sample means will be greater than 162 seconds? What percent of the sample means will be greater than 153 but less than 162 seconds?
What is the distinction between distribution-free methods and nonparametric methods?
To determine whether there exists mean difference among the groups:
A deck of cards is shuffled and then divided into two piles of 26 cards each. We say that a suit is unsplit if all 13 cards of that suit are in the same pile. Compute the probability that at least one suit will be unsplit.
Equally likely chances of (1) increasing in value, (2) decreasing in value, or (3) remaining the same value. Calculate the probability at least one of the stocks increase in value.
Suppose the federal government proposes to give a substantial tax break to automakers producing midsize cars that get a mean mileage exceeding 31 mpg.
Looking at sample distribution from part b, find out how big treatment effect is. Specifically, determine the distance between sample mean and original population mean?
A random sample of size 70 is drawn from population. Determine probability that mean annual salary is between $32,000 and $32,500?
A square yard of carpet is examined for surface defects. Currently, the process produces an average of 2.4 defects per square yard. What is the probability of finding 2 or more surface defects in the sample.
Set up hypotheses and carry out all relevant tests. Describe all results and implications which you have discovered.
What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 90.8 inches?
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