Q1)  In classical hypothesis testing, test statistic is to critical value what the

a) P-value is to alpha.

b) Critical value is to alpha.

c) Test statistic is to the p-value.

d) Level of significance is to the test statistic.

Q2) In two-tailed hypothesis test with α = .05, a test statistic of t = 1.813 with d.f. = 15 leads one to reject null hypothesis of statistical test.

i) True

ii) False

Q3) Power of a test is probability that test will reject a false null hypothesis.

i) True

ii) False

Q4) Mean number of unprovoked shark attacks per year in the USA is 36.33, with standard deviation of 13.16 and is believed to be normally distributed.  Though, in years 2000 and  2001, mean number of unprovoked shark attacks was 54.5.  Were years 2000 and 2001 unusually dangerous for those who use water for recreation?  (Note that sample size is two since there are 2 years.) Use information above to reply this question as well as next four questions. What set of hypotheses would you use to reply the question posed above?

i) H0:  μ < 54.5 attacks               H1:  μ > 54.5 attacks

ii) H0:  μ = 54.5 attacks               H1:  μ ≠ 54.5 attacks

iii) H0:  μ = 36.33 attacks             H1:  μ ≠ 36.33 attacks

iv) H0:  μ < 36.33 attacks             H1:  μ > 36.33 attacks

v) H0:  μ > 36.33 attacks              H1:  μ < 36.33 attacks

Q5) Test statistic for this hypothesis test must be

i) t = 1.95

ii) z = 1.95

iii) t = 1.38

iv) z = 1.38