Homework SourseA certain population follows a normal distribution with mean
A certain population follows a normal distribution with mean ? and standard deviation ? = 2.5. You collect data in order to test the hypotheses H0: ? = 1, Ha: ? ? 1.
You obtain a P-value of 0.022. Which of the following is true?
A.) A 95% confidence interval for ? will include the value 1.
B.) A 95% confidence interval for ? will include the value 0.
C.) A 99% confidence interval for ? will include the value 1.
D.) A 99% confidence interval for ? will include the value 0.
Solution
A certain population follows a normal distribution with mean ? and standard deviation ? = 2.5. You collect data in order to test the hypotheses H0: ? = 1, Ha: ? ? 1.
You obtain a P-value of 0.022. Which of the following is true?
A.) A 95% confidence interval for ? will include the value 1.
B.) A 95% confidence interval for ? will include the value 0.
C.) A 99% confidence interval for ? will include the value 1.
D.) A 99% confidence interval for ? will include the value 0.
At 99% confidence level, the null hypothesis is not rejected, P=0.022 > 0.01. There fore the population mean will fall in the interval.
