Quantitative Methods Answers

A and B are two non- mutually exclusive and independent events.

P (A) = 0.50

P (B) = 0.60

what is the probability that neither event A nor event B will occur?

For a binomial distribution, the probability of success on any trial is 35 and 240 trials were carried out. What is the standard deviation of the distribution of number of points?

In a hypothesis test, the probability of accepting a false null hypothesis is

a) type 2 error

b) type 1 error

c) beta

d) confidence level

e) None of the above

Bayes theorem is used to calculate

a) posterior probability

b) central tendency

c) prior probability

d) dispersion

e) Marginal probability

Every hour a quality control manager records the temperature ( in degree centigrade) in the laboratory. these temperatures are an example of what level of data?

a) nominal

b) ordinal

c) interval

d) ratio

e) exponential

Fresh and farms company wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizer, A and B. The mixture is to contain at least 45 units of phosphate at least 36 units of nitrate at least 40 units of ammonium. Fertilizer A costs the shop Rs 50.00 per kg and fertilizer b cost the shop Rs 65 per kg. Fertilizer A contains 10 units of phosphate and 4 units of nitrate and 4 units of ammonium while fertilizer B contains 5 units of phosphate and 6 units of nitrate and 10 units of ammonium. How many units of each fertilizer should the firm use in order to minimize their cost? Use graphical method to solve the linear programming problem.

It was proposed that a study be conducted on the number of start- ups and annual number of business bankruptcies. Data collected was six year period. Develop regression equation and forecast the bankruptcy numbers given the start ups for the forthcoming year to be 60. Interpret the significance of predictor through R Square

Business Bankruptcies Start ups

(in 1000)

34.3 58.1

35 55.4

38.5 57

40.1 58.5

35.5 57.4

37.9 58

It was believed ( from past data) that professionals across a particular city had an average net income was Rs 54000 per month with a standard deviation of Rs12000. A researcher wanted to determine whether the net income has changed over a period of time. He took a survey of 100 professionals and found that the average net income is Rs 56000. Test at 1% level of significance.

social class VS. number of children in the family is tabulated below: find the probabilities.

No of children lower middle upper

0 7 18 6

1 9 38 23

2 34 97 58

3 37 31 30

1. P ( 3 children)
2. P ( Lower or 2 children)
3. P ( Middle and 1 child)
4. P ( lower / 2 children)
5. P ( 0 child / Middle)

In a weightlifting competition, the amount that the competitors can lift is normally distributed with mean = 196 kg and standard deviation = 11 kg. only the top 20% of all competitors will be able to advance to the next phase of the competition. What amount must a competitor lift in order to move into the next phase of the competition?