# Math homework help

## A+ Answers

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. = 0.05 for a two-tailed test.

±2.575

1.764

±1.96

±1.645

Question 2

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. = 0.09 for a right-tailed test.

±1.96

1.34

±1.96

1.34

±1.34

1.96

Question 3

## A+ Answers

Show your work.

1. ou have a choice of either receiving $10,000 at the end of each year for the next 5 years or receiving $4000 per year for the next 10 years. If the current interest rate is 3 percent compounded annually, which is better?

2. Compute the monthly payment for a house loan of $325,000 to be financed over 30 years at an interest rate of 4.5 percent.

3. An amount of $2,500 is borrowed at a discount rate of 10 percent, find the proceeds if the length of the loan is 90 days.

## A+ Answers

Given that z is a standard normal random variable, compute the following probabilities:

1. P(-1.98 <= z <= .49)

2. P(.52 <= z <= 1.22)

True or False

3. A + A' always equals zero.

4. If the variance equals zero, the values of z must add up to zero (ex. 1,-1,2,-2)

5. The normal distribution curve does not have to be symmetric to zero.

## A+ Answers

The overhead reach distance of adult females are normally distributed with a mean of 204 cm and a standard deviation of 8.5.

A. Find the probability that an individual distance is greater than 216cm.

B. Find the probability that the mean for 23 randomly selected distance is greater than 202 cm.

C. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

## See the attached file for questioins

1. A graph of the function

## A+ Answers

Question 1

Convert each equation to standard form by completing the square on x or y. Then ﬁnd the vertex, focus, and directrix of the parabola.

x2 - 2x - 4y + 9 = 0

A. (x - 4)2 = 4(y - 2); vertex: (1, 4); focus: (1, 3) ; directrix: y = 1

B. (x - 2)2 = 4(y - 3); vertex: (1, 2); focus: (1, 3) ; directrix: y = 3

C. (x - 1)2 = 4(y - 2); vertex: (1, 2); focus: (1, 3) ; directrix: y = 1

D. (x - 1)2 = 2(y - 2); vertex: (1, 3); focus: (1, 2) ; directrix: y = 5

Question 2

## week 3

please transfer week 3 assigmnent 11- 15 on the excel sheet.. Thanks

and dont forget question #10