The average length of time for students to register for summer classes at a certain college has been 50 minutes. A new registration procedure using modern computing machines is being tried. If a random sample of 35 students had an average registration time of 42 minutes with a standard deviation of 11.9 minutes under the new system, test the hypothesis that the population mean is now less than 50 minutes, using a level of signficance of 0.01. (critical value = +/- 2.33)
7. Calculate P40 of the judges’ scores.
M. 8.12 A. 8.42 T. 8.75 H. 9.10
The scores of Miss San Quintin candidates from seven judges were recorded as follows: 8.12, 9.10, 8.42, 9.14, 8.75, 9.17, and 8. 37
For numbers 4 – 6, refer to the given data above.
4. Find the 50th percentile or P50 of the judges’ scores.
M. 9.14 A. 8.75 T. 8.42 H. 8.12
5. What is the P30 of the judges’ scores?
M. 9.10 A. 8.75 T. 8.42 H. 8.37
6. Determine the 70th percentile of the judges’ scores.
M. 9.14 A. 9.10 T. 8.42 H. 8.12
1. Which of the following is the same as the median score? M. 2 nd quartile T. 25th percentile A. 6 th decile H. 75th percentile
2. What do you call the ninety-nine score points which divide a distribution into one hundred equal parts? M. decile T. percentile A. median H. quartile
3. The set of scores: 15, 14, 12, 10, 9, 11, 17, 15, and 19, find the median score. M. 9 T. 11 A. 10 H. 14
A recent study by the American Accounting Association revealed among 30 graduates in accounting 20 students graduating with a major in accounting select public accounting. Suppose we select a sample of 15 recent graduates.
A. What is the probability that exactly two select public accounting?
B. What is the probability that exactly five select public accounting?
Determine the formula for the nth term of the sequence:
a) -2, 1, 7, 25, 79, ....
b) 0, 1, 3, 7, 15, ....
Evaluate
a) sin (alpha), given that sec (alpha)= -3, and that alpha is an obtuse angle.
b) cot(beta), given that tan(beta)=1/(√2) and that beta is an acute angle.
A
child plays with a pair of scissors and
a piece of string 10 cm long. He cuts the string
into two at a randomly chosen place.
What is the probability that the piece of string to the left
of the pair of scissors is less than 4 cm long?
A hog raiser in a certain province uses two methods of pig-farming: intensive pig farming, where pigs are housed indoors in group housing or straw-lined sheds; and extensive pig farming, where pigs are allowed to wander around the farm or fence. Test the hypothesis whether or not the mean weight of pigs in intensive farming is better than the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a one-tailed test at x = 1%. Find the computed value of the test statistics.
Intensive farming: x₁=85 kg s = 10 kg
Extensive farming: x2= 79 kg s2 = 6 kg
ni 55
n2=45
Many things can contaminate urban storm water, including discarded batteries. When these batteries rupture, they discharge elements that are harmful to the environment. The sample mean zinc mass of 27 Panasonic AAA batteries was examined and found that it was 2.06g, with a sample standard deviation of 0.141g. Does this data provide compelling evidence for concluding that the population mean zinc mass exceeds 2.0g? Use a significance level α=0.05 to test the hypotheses.