In a test of the hypothesis H0: μ = 50 versus HA: μ > 50 a sample of n = 40 observations was found to have mean &#119909

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In a test of the hypothesis H0: μ = 50 versus HA: μ > 50 a
sample of n = 40 observations was found to have mean 𝑥̅ = 58 and
standard deviation s = 25.
PLEASE PROVIDE FORMULAS
a. Give the definition of a p-value.
b. Calculate the p-value for this test.
c. Can you reject the null hypothesis at the 10% level of
significance? at the 5% level of significance? at the 1% level of
significance? Explain the criterion you use. Illustrate your answer
with a graph.