Information The next two questions (7 and 8) refer to the following: Now suppose
ID: 3311198 • Letter: I
Question
Information The next two questions (7 and 8) refer to the following: Now suppose that IQs of adult Canadians follow a normal distribution with unknown standard deviation. Another researcher takes a different sample of 30 adult Canadians, who have a mean IQ of 112 and a standard deviation of 5 Question 7 (1 point) If the researcher believes that the true mean IQ of adult Canadians is greater than 110, then what is the P-value for the appropriate test of significance? O A) between 0.005 and 0.01 O B) between 0.01 and 0.02 OC) between 0.02 and 0.025 O D) between 0.02 and 0.04 OE) between 0.04 and 0.05 Save Question 8 (1 point) we would like to construct a 90% confidence interval for the true mean IQ of all adult Canadians, what is the critical value to be used in the confidence interval? Your Answer: Answer SaveExplanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 110
HA : > 110
Hypothesis test results:
Hence,
Answer - 7: p - value = 0.0183
So it would be between 0.01 and 0.02
Option B is correct.
Answer - 8: Degrees of freedom = n - 1 = 30 - 1 = 29
Hence,
For 90% confidence interval, critical value = 1.6991
Mean Sample Mean Std. Err. DF T-Stat P-value 112 0.91287093 29 2.1908902 0.0183