Search & Filtering
Find the probability of the consignment by using the technique of Binomial probability distribution that the consignment is: i) Accepted ii) Rejected
Calculate coefficient of correlation for the following data and interpret the result.
Corn Yield (Y) 10, 15, 30, 35, 25, 30, 50, 45
Fertilizer (X) 0.3, 0.6, 0.9, 1.2, 1.5, 1.8, 2.1, 2.4
Given the following set of values,
Corn Yield (Y) 10, 15, 30, 35, 25, 30, 50, 45
Fertilizer (X) 0.3, 0.6, 0.9, 1.2, 1.5, 1.8, 2.1, 2.4
Determine the equation of least square regression line.
defectives by means of a sampling system. Ten components are
examined and the lot is to be rejected if two or more are found
to be defective. If a consignments contains exactly 10%
defectives.
Find the probability of the consignment by using the technique
of Binomial probability distribution that the consignment is:
i) Accepted
ii) Rejected
Patients of a clinic are tested for a particular desease. For each patient, the result of the test – ‘infected’/’not infected’ – is correct with the probability 0.8. Suppose that 20% of the patients are infected. What is the probability that a given patient is indeed infected if his/her test result shows ‘infected’?
- A statistics practitioner wants to test the following hypotheses. H0: mu = 0.70 H1: mu greater than 0.70 A random sample of 100 produced p = 0.73. Calculate the p-value of the test.
The amount of time a bank teller spends with each customer has a population mean of 3.10 minutes and a standard deviation of 0.40 minutes. Suppose a random sample of 16 customers is selected.
a. What is the distribution of the mean amount of time for the samples?
b. What is the probability that the average time spent per customer will be at least 3 minutes?
c. There is an 85% chance that the sample mean will be below how many minutes?
d. If a random sample of 64 customers is selected, there is an 85% chance that the sample mean will be below how many minutes?
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for college admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that qualifies for the scholarship?
According to a dietician, adult South African men are on average more than 10kg overweight. To test this statement, twenty South African men are chosen at random. Their weights (kg) are measured and their respective ideal weights subtracted. The results are:
8 11.5 9 20.5 11 9 11.5 9 11 7.5
9 17.5 8 7.5 8.5 9.5 11.5 7.5 8 13
It follows that x =10:4kg and s = 3:3896kg. Investigate the statement of the dietician
(a) With a 95% confidence interval; write down the formula and calculate the realised interval estimate.
(b) Test the dietician’s claim at the 2:5% level of significance.
