Mathematics Homework Solutions

Hypothesis test

Seven skulls... Use these statistics in a test of the hypothesis that these skulls belong to a race previously found nearby in which the average width if known to be 146mm. Assume a nearly normal population. Perform the test a=0.1. Please see attached.

Hypothesis test

Let X...Is the battery likely to last more than 5 years? Please see attached.

Hypothesis test

For a number of years... In the first year after the change, there were 56- survivors in a class of 800. Is this increase explainable as simply sampling variability? Test at a=0.01. Please see attached.

Hypothesis Testing, Test Statistics and Rejection Area

Let X... We observe X=9 out of n=15. Is the battery more likely to last more than 5 years? Please see the attached file for the fully formatted problems.

A Department store has the following credit terms the finance charge

A Department store has the following credit terms the finance charge. If any is based on the previous balance before payments or credits are deducted. The rates are 1.5% per month up to $1,000 and 1.25% per month on amounts in excess of 1,000. These are annual percentage rates of 18% and 15% respectively. Find the new balance fo ...continues

Combination Application Word Problems and Summations

Exercise # 1 A) How many nonnegative integer solutions are there to the pair of equations: And B) How many ways are there to distribute 20 toys to m children such that the first two children get the same number of toys if: 1- The toys are identical? 2- The toys are distinct? Exercise #2 ...continues

Combinations Application Word Problem

Suppose that 30 different computer games and 20 different toys are to be distributed among 3 different bags of Christmas presents. The first bag is to have 20 of the computer games. The second bag is to have 15 toys. The third bag is to have 15 presents, any mixture of games and toys. How many ways are there to distribute these ...continues

Approximations to n!, including Stirling's formula

The following are demonstrated: 1) ln(n!) = nlnn + O(n) 2) ln(n!) ~= nlnn - n 3) n! ~= sqrt(2*pi*n) * n^n * e^-n

Probability : Selection Without Replacement and Stirling's Formula

A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p that the balls selected contain n red and n white. Use Stirling's formula to obtain the approximation p ~ root(3/(2*pi*n))

Math applications for business

• Linda received $875 on an investment of $14,000 at 15% annual simple interest rate. How long was the money invested? • Freddy borrowed $10,000 for a car for 3 years and paid $1,500 in simple interest. What was the rate of interest? • Diana owns municipal bonds valued at $14,500, which is 12% of her total investments. Wha ...continues

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