4. Suppose the true parameters of a discrete uniform distribution is =0 and =12. Suppose you sample from this distribution 10 observations. Use the R command sample1 <- round(runif(10, min = 0, max =12)) . Suppose you sample another 10 observations from another uniform population with =0 and =10. Test the hypothesis that the mean of your first sample is higher than the mean of the second sample at 0.05 level of significance. Report the result and the p-value. What is the type I error? Now, calculate also type II error for this test. Now assume that these samples were taken from a vaccine trial where the first sample showed the number of people out of 10 who developed immunity against the disease for each trial and the second group were given a placebo. Would you introduce this vaccine?

Q: The reading test scores for the population of fifth graders is normally distributed with a mean of…

A: Given: X~Normalμ=55,σ2=82

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A: Solution-: Let, X= the population of IQ scores in the town Given: We find mean and standard…

Q: A professor of statistics noticed that the marks in his course are normally distributed. He has also…

A: μ1=0.78, σ1=0.15μ2=0.74, σ2=0.13

Q: A sample of n=5 scores has a mean of x=9. what is Ex for this sample?

A: Mean = 9 n = 5

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A:

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A:

Q: If the number of dust particles in a square meter on a surface follows a Poisson distribution with a…

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Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…

A: Determine the distribution of ΣX.   The distribution of ΣX is determined below as follows :

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A: Given: Mean=800 Standard deviation, σ=100 Sample Size, n=15

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A: Given: n = 50 X = 56 years σ = 6 μ = 52 Formula Used: Test-statistic Z = X-μσn

Q: The standard error of the mean (Qx) is a(n)

A:

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Q: A simple random sample of 64 observations was taken from a large population.  The sample mean and…

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A:

Q: Assume the scores on a standardized test are known to follow a bell-shaped distribution with a mean…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.