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Q1) Does lovastatin (a cholesterol-lowering drug) decrease risk of heart attack? In Texas study, researchers gave lovastatin to 2,325 people and inactive substitute to 2,081 people (average age 58). After 5 years, 57 of lovastatin group had suffered a heart attack, compared with 97 for the inactive pill.
a) Mention the suitable hypotheses.
b) Get a test statistic and p-value. Interpret results at α = .01.
c) Is normality assured?
d) Is the dissimilarity large enough to be significant?
e) What else would medical researchers require to know before prescribing this drug widely?
Would the null hypothesis be accepted or rejected in this case?
Suppose these data represent whole population. Determine the population mean and population standard deviation.
In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken.
Findout the variance also standard deviation for the 2 distributions above. Evalute the variation of the data sets.
A company tracked the number of complaints it received during the first 6 months of last year, as shown in the following table:
What is the probability there will be between 10 and 14 calls inclusive arriving at the company in the next 15 minutes?
What is the P-value of the test, assume the standard deviation is 3 years, a 95% confidence interval for the average time
What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence?
At the .05 significance level, can we conclude that the guideline is still reasonable?
Assuming we can verify that the data set is approximately normally distributed, what percentage of times will the server be down less than 24 minutes?
Find the probability of failure of system for any 4 hours of operation?
Supposing that the entire $10,000 can be spent on tires (ignoring other costs), and that the true fraction that will fail is approximately .05, can NHTSA attain its goal while staying within the budget? Describe.
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