Questions 4-7 refer to the following: Suppose that IQs of adult Canadians follow

Question

Questions 4-7 refer to the following: Suppose that IQs of adult Canadians follow a normal distribution with standard deviation 15. A random sample of 30 adult Canadians has a mean IQ of 112 Question 4 (1 point) The margin of error for a 93% confidence interval for the true mean IQ of adult Canadians is: Keep 4 decimal places in intermediate calculations and report your final answer to 2 decimal places. Your Answer: 4.05 Answer ave Question 5 (1 point) At the 7% level of significance, we would like to test whether the true mean IQ of all adult Canadians is less than 115 What is the P-value for the appropriate test of significance? Keep 4 decimal places in intermediate calculations and report your final answer to 4 decimal places. Your Answer: Answer ave Question 6 (1 point) Suppose we had instead used the critical value method to conduct the test in the previous question. We would reject HO if: z 2 1.81 or z S -1.81 O z 1.48 or z -1.48 O z 2 1.81 O z 2 1.48 O z s -1.48 O z s -1.81

Explanation / Answer

5) T = (112 -115)/(15/sqrt(30))

= -1.095445

Df = n-1 = 29

p-value = P( t < -1.095445) = 0.1412

6)

P(T <t ) = 0.07

T = -1.51

Option E) Z < -1.48 is correct

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