Question

Consider the hypotheses shown below. Given that

x overbarxequals=49,

sigmaσequals=13,

nequals=33​,

alphaαequals=0.01complete parts a and b.

Upper H 0​: muμless than or equals≤47

Upper H 1​: muμgreater than>47

a. What conclusion should be​ drawn?

b. Determine the​ p-value for this test.

a. The​ z-test statistic is

Answer 1

a) Test statistic

                        

                         = 0.88

b) P-value = P(Z > 0.88) = 1 - P(Z < 0.88) = 1 - 0.8106 = 0.1894

Since p-value is not less than 0.01, we should not reject the null hypothesis.

conclusion: Do not reject null hypothesis