Imagine that a study of prostate cancer was initiated in Des Moines, Iowa. A total of 1,000 men, 55-64 years of age, with no prior evidence of prostate cancer were enrolled in the study. Each year during the study, the men being observed were examined and tested for presence of prostate cancer.  The results of annual examinations revealed: 10 cases confirmed at 1st exam                15 additional cases at 2nd exam                20 additional cases at 3rd exam                25 additional cases at 4th (final) exam                What is incidence density of prostate cancer in this group?

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Q: How many different simple random samples of size 5 can be obtained from a population whose size is…

A: Provided information is: Population size is 33. Random sample of size 5 is considered.

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A: Given μd=3 n=8 d= Post-test-Initial-test  α=0.01Find p-value

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Q: Suppose researchers do an epidemiologic investigation of people entering a sexually transmitted…

A: O E (O-E)^2 (O-E)^2/E 160 137.7049 497.0707 3.60968 50 72.29508 497.0707 6.875581 40 62.29508…

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Q: The Human Society of South Africa reports that there are approximately 77.5 million dogs owned in…

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A: Suppose we select 2 students randomly from a class of 20 students. Total number of students = 20 The…

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Q: To find out whether a new drug will reduce the spread of cancer, 9 mice which have all reached an…

A: Given data, s.no Treatment No treatment 1 2.4 1.9 2 5.3 0.8 3 1.4 2.8 4 4.6 3.7 5 0.9…

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Q: Based on past surveys over several years, a small business believes that 85% of their customers are…

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Q: Women: 53 patients had high blood pressure Required: Test Value Only the final answer should be…

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Q: Suppose we identify 50 women 50 to 54 years of age who have both a mother and a sister with a…

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A: Where p is the proportion of defective parts

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Q: A certain birth defect occurs in one in every 1000 live births, according to long-term data. The…

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Q: How many different simple random samples of size 5 can be obtained from a population whose size is…

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Q: 1. For a certain disease, a new test is proposed based on the occurrence of a specific protein X in…

A: Given:-

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Q: 8. To find whether a new serum will arrest leukemia, 9 mice, all with advanced stage of the disease,…

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Q: Based on these findings, can we reject the company's claim that the drug is equally effective for…

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Q: Suppose the researcher theorizes that 75% of physics students are male. He surveys a random sample…

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Q: A group of doctors published an article in the New England Journal of Medicine. In the article they…

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Q: Suppose that 3000 drivers in Wakanda were randomly breath-tested on 21 April 2019 and 116 were above…

A: Suppose that 3000 drivers in Wakanda were randomly breath-tested on 21 April 2019 and 116 were above…

Q: A researcher takes a sample of 50 individuals and administers a background check to identify the…

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Q: How many different simple random samples of size 5 can be obtained from a population whose size is…

A: Reviewing information, Sample size=n=5 Population size=N=38

Q: A researcher wishes to test the claim that, on average, more juveniles than adult are classified as…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!