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Confidence Interval
The interval estimate or a 'confidence interval' consists of a range as an upper confidence limit and lower confidence limit whether we are confident that a population parameter lies and we assign a probability that this interval includes the true population value
The confidence limits are the outer limits to a confidence interval. Confidence interval is the interval among the confidence limits. The higher the confidence level the greater the confidence interval. For illustration:
A normal distribution has the given characteristic as:
i. Sample mean ± 1.960 σ contains 95 percent of the population
ii. Sample mean ± 2.575 σ contains 99 percent of the population
If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans: TanA + SinA = m TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2
A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?
1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di
Prove that, the complement of each element in a Boolean algebra B is unique. Ans: Proof: Let I and 0 are the unit and zero elements of B correspondingly. Suppose b and c b
10p=100
in a sale a clothes shop reduces its prices by 30% a shirt usually costs £38 how much is it in the sale
(-2x^2y4)(10xy^2)^3
Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is
Find out the linear approximation for at x =8 . Utilizes the linear approximation to approximate the value of and Solution Since it is just the tangent line there
Determine whether each equation is a linear equation. If yes, write the equation in standard form. y=2x+5
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