Complete the following mcq:
Q1. In chronological order, state the 5 steps of the standard procedure for hypothesis testing:
Q2. Which of the following could be a valid null hypotheses?
A. μ ≥ 27.9 B. μ < 27.9
Q3. Which of the following can be rejected by a statistical test?
A. Null hypothesis B. Alternate hypothesis
Q4. If sample size is 20, which can be used to test a hypothesis about the mean?
A. Z B. t C. Either
Q5. If sample size is 30, which can be used to test a hypothesis about the mean?
A. Z B. t C. Either
Q6. The level of significance is the probability of:
A. Rejecting a true null hypothesis B. Accepting a false null hypothesis
Q7. The probability of Type I error is denoted by which Greek letter?
A. μ B. σ; C. α D. β
Q8. Which kind of test is made for the null hypothesis "μ = 27.9"?
____ A. One-tailed test ____ B. Two-tailed test
Q9. In a two-tailed test, using Z as test statistic, if the significance level is 0.05, how much probability is in each of the two tails?
A. 1.0% B. 2.5% C. 5.0% D. 7.5%
We sample 100 light bulbs from a manufacturing plant to test the null hypothesis that the mean is 1,200 hours, using a significance level of
0.05. The sample average is 1,150 hours and the standard deviation is 500 hours.
Q10. What is the null hypothesis?
A. β = 1,200 hrs B. β ≠1,200 hrs C. β < 1,200 hrs D. β > 1,200 hrs
Q11. What is the alternate hypothesis?
A. β= 1,200 hrs B. β ≠1,200 hrs C. β< 1,200 hrs D. β > 1,200 hrs
Q12. What is the value of α?
A. 0.010 B. 0.025 C. 0.050 D. Unknown
Q13. Which statistic can properly be used in this hypothesis test?
A. Z B. t C. Either D. Neither
Q14. What are the approximate critical values of the test statistic? Indicate two values.
A. -3.0 B. -2.0 C. -1.0 D. +1.0 E. +2.0 F. +3.0
Q15. What is the value of the test statistic computed from the sample's descriptive statistics?
A. -3.0 B. -2.0 C. -1.0 D. +1.0 E. +2.0 F. +3.0
Q16. Is the null hypothesis rejected?
A. Yes B. No