Question

1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ? > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean?

a.) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10

b.) 9 ≤ ? ≤ 13

c.) No statement can be made

d.) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero.

2. If we know the population standard deviation and we use the t-test instead of the Z-test,

a.) We will increase the probability of type II error

b.) We will increase the probability of type I error.

c.) We will have the same conclusion

d.) None of the above

3.) The chi-square goodness-of-fit test can be used to test for:

a.) significance of sample statistics

b.) difference between population means

c.) normality

d.) probability

Answer 1

Solution:-

(1) Option (c) No statement can be made.

(2) Option (c) We will have the same conclusion.

(3) Option (c) normality is correct

Explanationn: The goodness of fit test is a statistical hypothesis test to see how well sample data fit a distribution from a population with a normal distribution.