Question

Assume that you are purchasing an input for which the "requirement" is that the value be greater than 50, with n=64. The variance of the population is estimated to be 100. Use alpha=.05.

T/F The null hypothesis for this test is Ho: mu<=50 and the alternative is H1: mu>50.

You observe a value of 51.5. What is the probability of observing a value greater than 51.5 when the true mean is 50?

T/F The value of xbar = 51.5 leads to the acceptance of the alternative hypothesis.

At the 95% level of confidence, right-tail test, what is the critical value of xbar that would lead to rejection of the null hypothesis?

Answer 1

T/F The null hypothesis for this test is Ho: mu<=50 and the alternative is H1: mu>50.

True because alterbative hypothesis is the value be greater than 50,

You observe a value of 51.5. What is the probability of observing a value greater than 51.5 when the true mean is 50?

P(x > 51.5)
z = (xbar - mu)/(sigma/sqrt(n))
= (51.5 - 50)/(10/sqrt(64))
= 1.20

P(z > 1.20) = 0.1151

T/F The value of xbar = 51.5 leads to the acceptance of the alternative hypothesis.

False

At the 95% level of confidence, right-tail test, what is the critical value of xbar that would lead to rejection of the null hypothesis?

Criical value = 1.645