4. This data set: 14, 8, 1, 7, 8, 4, 5, 13, 5, 9 has sample mean 7.4 and sample standard deviation 3.978. (a) Use the given information to calculate the 90% confidence level of the population mean. Show the formulas and how they are used in your computation. (b) Explain whether or not this estimate is valid.

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A:

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A: b) Given series is

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A: Do the mathematical operations as shown below.

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A: The given equation is as follows.

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A: Apply integration by parts:

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A: Bernoulli differential equation

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A:

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A: Given x2 = 36

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A: We need to solve the inequality.

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A:

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A: Solution: The formulae for the combination is  nCr=n!r!×(n-r)!

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A: To determine the value of x.