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Accuracy of a laboratory scale
To assess the accuracy of a laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. The scale readings are Normally distributed with unknown mean (this mean is 10 grams if the scale has no bias). The standard deviation of the scale readings in the past has been 0.0002 gram.
(a) The weight is measured five times. The mean result is 10.0023 grams. Give a 98% confidence interval for the mean of repeated measurements of the weight.
(b) How many measurements must be averaged to get a margin of error of ±0.0001 with 98% confidence?
Determine whether the following definitions are stipulative, lexical, precising, theoretical, or persuasive.- "Gravity" means a force that results from the universal attraction that every particle of matter has for every other particle.
The amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lunches was $0.87. What is the test value?
In a certain desert region the number of persons who become seriously ill each year from eating a certain poisonous plant is a random variable having a Poisson distribution with λ = 5.2. Use Table II of "Statistical Tables" to find the probabiliti..
(a) Apply the preflow-push algorithm with initial prices p1 = 0, and pi = N -i for i = 2,...,N. Use two different methods to choose the node for iteration: (1) Select the node with highest price, and (2) Select the node with lowest price. Explain ..
let r be the region in the first quadrant bounded by the curves yx and yx5. a random point xy is selected from r. a
Determine her completion time so that only 10% of the students doing the test will take longer than her? For a set of 5 randomly selected tests (each with 10 questions), what is the probability that her mean completion time will be 14 minutes or mo..
The probabilities of these three events are estimated to be 0.4, 0.25, and 0.35, respectively.-Find the mean and standard deviation of the percentage change in salaries next year at Indiana University.
A manufacturer of car batteries claims that his batteries will last, on average, 3 years with a variance of 1 year. If 5 of these batteries have lifetimes of 1.9, 2.4, 3.0, 3.5, and 4.2 years
R2 000 is invested at 10% per annum compounded half-yearly. After three months, the interest rate changes to 12% per annum compounded monthly. Find the value of the investment after two years.
If she serves 6 times, what is the probability she gets all 6 serves in?- exactly 4 serves in?- at least 4 serves in?- no more than 4 serves in?
q1 both undergraduates and postgraduates can use the university cafeteria. each diner can choose between buying a meal
The mean height of a certain plant is 160 centimeters. Suppose a botanist wants to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 160. What is the null hypothesis and the al..
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