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.

(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:

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

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

Suppose we have set of blood pressure with a mean of 80 Diastolic, and a sample standard deviation of 10 points. If we assume a normal distribution of Diastolic blood pressures, between what two values can we be assured 99.7% of all Diastolic blood pressures will lie?

I need assistance I keep getting 2.53333 as an answer
=(10-8.1)/0.75=2.53333
The problem is as follows:
A pizza franchise specifies that the amount of cheese on a large pizza should be on average 10 ounces with a standard deviation of 0.75 ounces. An inspector measures the amount of cheese on a large pizza and finds the a

(See attached file for full problem description)
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3. A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six observations from the second population resulted in a standard deviation of 7. At the .02 significance level, is there a difference in the vari

1.Suppose a normal distribution has u =1.4,and o =0.2, calculate the z -score f or x= 3.5
2.What is the mode of the data set 23, 44, 22, 23, 23, 44, 23, 55?
3. Give the following data set
50, 40, 33, 37, 60
a. Find the mean, median and mode
b. Find the standard deviation

Please help with the following problem.
A) When does the t-statistic approximate the z-statistic? Please ask yourself this question before answering: for a probability level of 0.975 on a one-tailed probability distribution, what is z-score and what is t-statistic? Then ask yourself, when does the t-statistic approximates

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean be considered unusual.
For a sample of n=65, find the probability of a sample mean being greater than 228 if μ =227 and σ = 3.9 .
For a sample of n=65, find the probability of a sampl

The true length of boards cut at a mill with a listed length of 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch. What proportion of the boards will be over 125 inches in length?