In: Statistics and Probability
Question 17 of 21
In a hypothesis test with hypotheses H0: mu=60 and H1: mu is not equal to 60, a random sample of 37 elements selected from the population produced a mean of 62.5. Assuming that sigma= 5.2 and the population is normally distributed, what is the approximate p-value for this test? (round your answer to four decimal places)
A. 0.0011
B. 0.0035
C. 0.0067
D. 0.0089
Question 18 of 21
We use the t distribution to perform a hypothesis test about the population mean when:
A. the population from which the sample is drawn is approximately normal and the population standard deviation is known
B. the population from which the sample is drawn is not approximately normal and the population standard deviation is known
C. the population from which the sample is drawn is approximately normal and the population standard deviation is unknown
D. the population from which the sample is drawn is not approximately normal and the population standard deviation is unknown
Question 19 of 21
The power of a hypothesis test is .96. Which of the following statements is true about this test?
A. The probability of a Type II error is .04.
B. The probability of a Type I error is .04.
C. The probability of a Type II error is .96.
D. The probability of a Type I error is .96.
Question 21 of 21
A chocolate manufacturing line, produces chocolate bars that have an average thickness of 0.21 inch. A recent sample of 11 chocolate bars had a variance of 0.01 inch. What is the 95% confidence interval for the population standard deviation?
A. [0.0031, 0.0246]
B. [0.0017, 0.0473].
C. [0.0049, 0.0308]
D. [0.0063, 0.0511]