Search & Filtering
12 entries in a painting competition were ranked by two judges , Judge I : 5, 2, 3, 4, 1, 6, 8, 7, 10, 9, 12, 11 and byJudge II: 4, 5, 2, 1, 6, 7, 10, 9, 11, 12, 3, 8. Calculate Spearman's rank correlation coefficient.
A manufacturer claims that only 4% of his products supplied by him are defective. A random sample of 600 products contains 36 defectives. Test the claim of the manufacturer.
Use inductive reasoning to predict the most probable next number in each of the following lists.
A.5, 10, 15, 20, 25, ? (?)
A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of observations obtained the following results : n=25, ∑ X= 125, ∑ X^2=650, ∑ Y=100, ∑ Y^2= 460, ∑ XY =508. If was, however, later discovered at the time of checking that he had copied down two pairs as (X,Y)= (6,14),(8,6) while the correct values were (X,Y)=(8,12),(6,8).
Obtain the correct value of correlation co-efficient.
Fit the parabola is Y=a X^2+bX+c for the data x: 1, 3, 4 , 6 ,8 ,9, 11, 14 and y: 1,2, 4, 4, 5, 7, 8, 9.
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 97 people in the 18-21 age bracket and finds that 82 of them respond and 15 refuse to respond. When 260 people in the 22-29 age bracket are contacted, 240 respond and 20 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respond.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
P(22-29 or refused) =
State the null hypothesis ? and alternative hypothesis ?д for the following experiments.
2. Does fresh fruit juice have effect on colds in the group who regularly drink it compared to the group who do not?
A researcher is testing the hypothesis that all teenagers spend an average of 8 hours on their computers during the weekends. He knows that the standard deviation is 0.3 hour. He selects a sample of 144 teenagers and decides to reject the null hypothesis when the sample mean is 8.5 hours or less.
A. What us the probability of that the researcher commits a type I error?
B. If the true population mean is 7 hours, what is the probability that the he commits a type II error?
C. Determine the power of test.
Determine the truth value of each of the statement below if the domain consists of all real numbers.
∀x(2x > x)
3. Prove that A space curve is a helix if and only if the ratio of the curvature to the torsion is
constant at all points
