Question

Consider the following hypotheses:

H₀: μ = 10
H_A: μ ≠ 10

The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table)

9	15	7	12	9	7	14

a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 92% reliable. In other words, if an individual lies, there is a 0.92 probability that the test will detect a lie. Let there also be a 0.004 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions.

b. What is the probability of a Type I error? (Round your answer to 3 decimal places.)
  

c. What is the probability of a Type II error? (Round your answer to 2 decimal places.)
  

Answer 1

The solution should be as follows: