I could use some help with the following. Could you please explain how you get the answer to the following questions in detail please so I can compare them to mine? I do not understand my book very well and I want to make sure I understand them correctly before I turn them in. Thank you

My first question is;

The mean starting salary for college graduates in the spring of 2004 was $36,280.
I am asking to assume the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300.

What percentage of the graduates has starting salaries?

a) Between $35,000 and 45,000
b) More than $45,000
c) Between $40,000 and 45,000

My second question is;

I am ask to assume a binomialprobability distribution with n=40 and (pi) =.55 and compute the following
a) The mean and standard deviation of random variable
b) The probability that X is 25 or greater
c) The probability that X is 15 or less
d) The probability that X is between 15 and 25 inclusive

My third question;

A recent study by the Greater Los Angeles Taxi Drivers Association showed that the mean fare charged for service from Hermosa Beach to the Los Angeles International Airport is $18.00 and the standard deviation is $3.50.

I am ask to select a sample of 15 fares and answer a and b. Please explain how you got your answer so I can compare it to mine.

a) What is the likelihood that the sample mean is btw $17.00 and 20.00?
b) What must you assume to make the above calculation?

My last question;
Dr. Patton is a Professor of English. Recently he counted the number of misspelled words in a group of student's essays. For his class of 40 students, the mean number of misspelled words was 6.05 and the standard deviation 2.44 per essay.

I need help constructing a 95 percent confidence interval for the mean number of misspelled words in the population of student essays.

Solution Summary

This solution provides a thorough walk-through of the listed problems.

Use the empirical rule of statistics to explain the percentage of data values in a normal distribution that fall within:
a) 1 standard deviation of the mean
b) 2 standarddeviations of the mean
c) 3 standarddeviations of the mean

For a normal distribution curve with a mean of 19 and a standard deviation of 6, which range of the variable defines an area under the curve corresponding to a probability of approximately 99.7%?
a. from 1 to 37
b. from 13 to 25
c. from 19 to 31
d. from 7 to 31

(a) Find the following for variables A and B: mean, median, mode and standard deviation.
(b) Create a histogram for variables A and B and create a scattergram between variables A and B
(c) Compute the coefficient correlation between variables A and B
Variable A: Variable B:

10. and 11. For a population with mean of 14 and standard deviation of 2.5 ...
How many standarddeviations is 16.5 from the mean?
What number is -3.1 standarddeviations from the mean?
12. Find the cumulative area under a standard normal curve that corresponds to a z-score of 2.25.

How does the Empirical Rule work and how does it relate to the bell curve as illustrated in Figure 3.14 (a)? Then, explain Chebyshev's Theorem and how it is different from the Empirical Rule. Give a specific example of a population with which the Empirical Rule might be most effective and one with which Chebyshev's Theorem might

A psychologist interested in political behavior measured the square footage of the desks in the official office of four US governors and of four chief executive officers (CEOs) of major US corporations. The figures for the governors were 44, 36, 52, and 40 square feet. The figures for the CEOs were 32, 60, 48, and 36 square feet

Assume the weight of a product is normally distributed with a mean of 1.5 and a variance of 0.2.
What percentage of products will have weights within +/- 3 standarddeviations?
What are the lower and upper limits bounding 50% of product weights?
Determine the weight where no more than 1% of all products will exceed that amoun

A psychologist interested in political behavior measured the square footage of the desks in the official office of four U.S. governors and of four chief executive officers (CEOs) of major U.S. corporations. The figures for the governors were 44, 36, 52, and 40 square feet. The figures for the CEOs were 32, 60, 48, and 36 square

Standard deviation calculations similar to what is described in the following link.
Chart number 2 and 3 reflect the following:
The key numbers to focus on are the columns titled 'STDEV from 50 Day and STDEV from 200 Day'. The figures show how many standarddeviations various stock market indices are above the moving ave

Hello,
This is my assignment for Statistics, I answered the question but I want to make sure is well answered and If I am answering right both "explain the empirical rule" and the "when can it be used?". Please feel free to do any changes. Thank you very much.
-Explain the empirical rule. When can it be used?
The Empiric