7. Refer back to the previous problem, what is the p-value? 8. A sample of nine measurements, randomly selected from a normally distributed population, resulted in the following summary statistics = 32.5, s = 2.7. At a = 0.10, test the claim that the mean u is less than 32.3 0: μ = 16.2 Ha:u < 16.2 9. Test the hypothesis on the following data: 12, 15, 16, 10, 21, 23. Use a 1%.

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Q: Could you explain how to find the formulas ?

A: Apply integration by parts:

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A: let  H=sec(t)-tan(t)

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A: Explained below

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A:

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A: Formula used:

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A: Please see the below answer.

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A: According to guidelines we can solve only one question.

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A:

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.