Math Answers

ne 1: 80 81 82 78 83

Mine 2: 77 76 78 80 76 78

Use 0.05 level of significance to test whether the difference between the means of these two samples is significant.

Find the inverse Laplace Transform of {1/s^3(s^2+1)}

For the function f(x)= x^2-2 defined over[1,6],

Verify L(P,f)≤U(P,f) where is the partition which divide [1,6] into five equal intervals

The score of the students who took a scholarship qualifying examination is normally distributed with a standard deviation of 17. If only those who have a scores 25 more than mean will be given scholarship grant.

a) What must be mean that qualify Tessa to get scholarship if her score is 350?

b) What will qualify Jana to get a scholarship if her score is 400?

c) What will qualify Adam to get scholarship if his score is 200?

find the approximate value of ∛127

X and Y are dependent random variable with E(X)=1, E(Y)=6, Var(X)=2, and Var(Y)=2 find the following:

a. E(X-6)

b. E(XY)

c. E(X+Y)

Two independent experiments are run in which two different types of paint are compared. Eighteen specimens are painted using type A, and the drying time, hours, is recorded for each. The same is done with type B. The population standard deviations are both known to be 1.0. Assuming that the mean drying time is equal for the two types of paint, if someone did the experiment 10,000 times under such condition, in how many of those 10,000 experiments would there be a difference overline X A - overline X B that was as large as (or larger than) 1.0? Note overline X A and overline X B are average drying times for samples of size = n=18.

Determine wheter 4 is the element of each of the following sets

A: P={1,2,3,4,5}

B: R={prime numbers}

Teenage suicide is a serious problem in the United States. The family economic status of a sample of 38 teenage who committed suicide was distributed as follows:

ClassUpperUpper MiddleLower MiddleLowerNumber of Suicides141086

Is there statistical evidence that the proportions in the classes differ at alpha 0.05?

1. Formulate the H₀ and H₁
2. C.V. at alpha 0.05 level of significance
3. Compute the test value: Chi-square X²
4. Decision
5. Interpretation

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x=79

minute, and their standard deviation is s = 23.9 beats per minute.

a. What is the difference between the pulse rate of 35 beats per minute and the mean pulse rate of the females?

b. How many standard deviations is that [the difference found in part (a)?

c. Convert the pulse rate of 35 beats per minutes to a z score.

d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 35 beats

significant?