32. The P-an incentive for a right-followed test is P=0.042. Which of coming up next is INCORRECT?

a) The P-an incentive for a two-followed test dependent on a similar example would be P=0.084

b) The P-an incentive for a left-followed test dependent on a similar example would be P=-0.042

c) The z-score test measurement is roughly z=1.73

d) We would dismiss H0 at "=0.05, however not at "=0.01

e) We would dismiss H0 at "=0.1, however not at "=0.04

33. To look at the normal measure of time that Canadians and Americans spend driving, a

scientist gathers an example of 50 Canadians and 60 Americans. The Canadians spend an

normal of 4.6 hours seven days driving, with standard deviation 2.9 hours. The mean and

standard deviation for the example of Americans is 5.2 hours and 1.3 hours, separately.

The standard mistake of the distinction of test implies is

a) 2.314

b) 1.023

c) 0.443

d) 0.196

e) Cannot be processed as the example sizes are unique.

34. Which of the accompanying assertions about theory tests is INCORRECT?

a) H0 should consistently incorporate equity.

b) In a one-followed test, H1 includes either ">" or "

c) If the test measurement lies in the dismissal locale, we reject the case.

d) The case can be either H0 or H1.

e) The basic worth shows the beginning of the dismissal area.

35. A specialist wishes to look at the extent of people who casted a ballot in the last

government political decision. Which of the accompanying end couldn't be drawn as the consequence of

any speculation test. "At the given degree of importance, we have evidence..."

a) "... that the extent of men who casted a ballot is bigger than the extent of ladies who

casted a ballot."

b) "... that the extent of men who casted a ballot contrasts from the extent of ladies who

casted a ballot."

c) "... that the extent of men who casted a ballot doesn't contrast from the extent of ladies

who casted a ballot."

d) "... that the extent of men who casted a ballot is more modest than the extent of ladies who

casted a ballot."

e) None of the abovementioned (every assertion a-d is a potential end).

2 1. Given the matrix A = 8 i) Calculate the eigenvalues X, and A2 together with the associated eigenvectors x, and x2 ii) determine the spectral decomposition of A iii) find A-1 2. Given the following 3 x 3 symmetric matrix A, A = - 2 1 i) find the eigenvalues and the associated normalized eigenvectors of A. ii) find tr( A) and [A | and show that tr(A) = )., A, and JA| = II, A. ili) write the matrix A in its spectral decomposition form.9. (Emmell) A human birth rate of 50 live births annually per 1,000 population is considered very high. In 1971, several countries in Africa had birth rates of 52 per 1,000. A low birth rate today is about 15 per 1,000; in 1971, Sweden and Luxembourg had the world's lowest birth rates of 13.5 per 1,000. Current death rates range Own from 5 deaths per 1,000 to 30 per 1,000. On a world- nu- wide basis, the annual birth rate in 1971 was 34 per on. 1,000 and annual death rate was 14 per 1,000. What is the annual rate of increase of the world's population?A high-production operation manufactures a part for the automotive indus- try. Starting material cost = $1.75, and cycle time = 2.20 min. Equipment cost rate = $42.00/hr, and labor cost rate = $24.00/hr, including overhead costs in both cases, Availability of the production machine in this job = 97%, and the scrap rate of parts produced = 5%. Because this is a long-running job, setup time is ignored, and there is no tooling cost to be considered. (a) Determine the production rate and finished part cost in this operation. (b) If availability could be increased to 100% and scrap rate could be reduced to 0, what would be the production rate and finished part cost?Of a random sample of 172 elementary school educators, 118 said that parental support was the most important source of a child's success. Test the hypothesis that parental support is the most important source of a child's success for at least 75% of elementary school educators. Use a = 0.05. (a) Determine the null and alternative hypothesis. (b) Find the test statistics and P-value. (c) What is the conclusion? 4. The mean age at first marriage for married men in a New England community was 28 in 1790. For a random sample of 40 married men in that community in 1990, the sample mean and sample standard deviation of age at first marriage were 26 and 9 respectively. (a) State the hypotheses, and find the test statistics and P -value for testing whether the mean has changed. Interpret. (b) Make a decision using (c) If the decision in (b) is an error, what type of error is it, Type I of Type