A golfer claims that his average golf score at the course he plays regularly is less than 90. A Type I error would occur if the golfer concludes that the average score is _____________________________
_____.
A) 90 or more when, in reality, the average score is less than 90
B) more than 90 when, in reality, the average score is equal to 90
C) less than 90 when, in reality, the average score is 90 or more
D) 90 or less when, in reality, the average score is equal to 90
Q. 2The ________ states that if there are k1 choices for the first event, choices for the second event, . . ., and choices for the nth event, then the total number of possible outcomes are .
A) law of large numbers
B) fundamental counting principle
C) addition rule
D) empirical rule
Q. 3The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using = 0.05 with the following data:
Men Women
Sample mean 64.5 years 63.6 years
Sample size 35 39
Population standard deviation 3.0 years 3.5 years
If Population 1 is defined as men and Population 2 is defined as women, the critical value for this hypothesis test would be ________.
A) 1.28
B) 1.645
C) 1.96
D) 2.33
Q. 4A survey conducted last year asked employed adults from age 25 to 70 if they plan to keep a foot in the working world after retirement. Thirty-three percent of the respondents answered very likely.
A random sample of 75 adults from this age group was asked the same question. Using the normal approximation to the binomial distribution, what is the probability that more than 18 adults from this sample would very likely plan to keep a foot in the working world after retirement?A) 0.5557
B) 0.6772
C) 0.8413
D) 0.9370
Q. 5A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes.
A random sample of 40 students was selected and the number of minutes needed to complete the exam was recorded. Assume that the standard deviation for the population of students taking the exam is 5.7 minutes and the true population mean for taking an exam is 45.8 minutes. Using = 0.05, beta equals ________.A) 0.1987
B) 0.4215
C) 0.6670
D) 0.8577
Q. 6One-way ANOVA uses a one-tail hypothesis test while two-way ANOVA uses a two-tail hypothesis test.
Indicate whether the statement is true or false