smriti2232
New Member
Hi, Can you please explain the solution to the following textbook question from hypothesis testing:
A data management group wants to test the null hypoth esis that observed data is N(0,1) distributed by evaluating the mean of a set of random draws. However, the actual underlying data is distributed as N(1, 2.25).
a. If the sample size is 10, what is the probability of a Type II error and the power of the test? Assume a 90% confidence level on a two-sided test.
b. How many samples would need to be taken to reduce the probability of a Type II error to less than 1%?
A data management group wants to test the null hypoth esis that observed data is N(0,1) distributed by evaluating the mean of a set of random draws. However, the actual underlying data is distributed as N(1, 2.25).
a. If the sample size is 10, what is the probability of a Type II error and the power of the test? Assume a 90% confidence level on a two-sided test.
b. How many samples would need to be taken to reduce the probability of a Type II error to less than 1%?
