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In: Statistics and Probability

data=(1,7,3,4,5,6,2,8,9,10,11,12,13,14,15,16,17,18,19,20) Suppose your dataset is a sample collected from some population with variance = 10. Use...

data=(1,7,3,4,5,6,2,8,9,10,11,12,13,14,15,16,17,18,19,20)

Suppose your dataset is a sample collected from some population with variance = 10. Use R to solve the problems

(b) (2pts) Determine a (96)% confidence interval for the population mean.

(d) (3pts) Conduct a (92)% confidence level hypothesis test to test if the population mean is larger than 5 using Pvalue.

(g) (2pts) Determine the probability of Type II Error for the test in (d) if the population mean is actually 10.

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