Suppose that five studies were conducted on the same exposure-disease relationship. Assume that there is no bias and confounding in these studies. The following results were seen: 95% CI p-value Relative Risk Sample Size Study 0.8-4.2 O.10 2.0 100 A 0.9-3.3 O.06 2.0 500 B 2.6-4.5 O.02 3.5 1000 2.2-3.5 O.015 3.0 2000 2.8-3.6 O.001 3.2 2500 E Describe the relationship between sample size and confidence interval width: There is no association between sample size and width of the corresponding confidence interval The smaller the sample size; the smaller the confidence interval width The larger the sample size; the smaller the confidence interval width The larger the sample size; the larger the confidence interval width

Q: Can this be done by a person ?

A: Given f(t)=2t3Find Laplace transform of f(t) .

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A: F(s)=(-4s-2) /(s2-2s+26)

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A: We have to use standard Laplace transform.

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A: To find a positive value of  such that the average value of  over the interval  is 20.

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A: Solution To find the decision we will use t Test for equal variances.