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Consider the following summary statistics for data obtained in a simple linear regression analysis.

β^{^}₀ = -34.38

n = 18

MSE = 103.27

β^{^}₁ = 3.38

x^‾ = 15.367

S_xx = 138.14

a. Conduct a hypothesis test to determine whether there is any evidence that the true mean value of Y for x = 16.2 is greater than 20. Use a significance level of 0.05.

b. Conduct a hypothesis test to determine whether there is any evidence that the true mean value of Y for x = 11.5 is different from 5. Use a significance level of 0.01.

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