Math Answers

Find the domain and range of the function (x,x/|x|).

in a graduate college,the average lenght of registration time during a semester is 120 minutes with a standard deviation of 25 minutes .with the introduction of a new registration procedure,a random sample of 50 students system took an average of 80 minutes sith a standard devation of 12 minutes

The average length of time for students to enroll in college is 6 hours and 10 minutes. Computerized enrolment is being tested. In a random sample of 180 students, it was found out that the average time for them to enroll is 2 hours and 45 minutes with a standard deviation of 20 minutes. At = 0.01, does this indicate that the average time for students to enroll using computerized enrolment is less than the regular enrolment?

A new drug on the market is claimed by its manufacturers to reduce overweight women by 4.55 kg per month with standard deviation of 0.91 kg. Ten women chosen at random have reported losing an average of 4.05 kg within a month. Does this data support the claim of the manufacturer at 0.05 level of significance?

A new drug on the market is claimed by its manufacturers to reduce overweight women by 4.55 kg per month with standard deviation of 0.91 kg. Ten women chosen at random have reported losing an average of 4.05 kg within a month. Does this data support the claim of the manufacturer at 0.05 level of significance?

The mean number of births per minute in a country in a recent year was about nine. Find the probability that the

number of births in any given minute is (a) exactly six, (b) at least six, and (c) more than six.

The average number of miligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed.

A. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg?

B. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger that 670 mg?

a) A three digit number is to be formed using the digits 1, 2, 3, 4, 5, 6 and no repetition is

allowed.

i) How many numbers can be formed if the leading digit is 4?

ii) How many numbers can be formed if the number is more than 250?

iii) How many odd numbers can be formed between 200 and 400?

b) Consider a bookshelf contains 28 books in different genre. 14 books are in education, 9

books in business and 5 books in motivation. A student would like to take 15 books. Find the number of ways if:

i) there is no restriction

ii) the choice must consist of 8 books in education, 5 books in business and 2 books in

motivation genre.

iii) The choice must consist of at least 9 books in education and exactly 5 books in

motivation genre.

For the most recent year available, the mean annual cost to attend a private university in the United States was $26,889. Assume the distribution of annual cost follows the normal distribution and the standard deviation $4,500. 95% of all students at private university pay less than what amount?

1. A population consists of six values (6, 9, 12, 15, 18, and 21). (35 points) a. Select a random sample of size 3. Explain the random sampling that you used. (3 pts.) b. How many possible samples can be drawn? (3 pls.)

c. list all possible samples and compute the mean of each sample. (10 pls.)

d. Construct a frequency distribution of the sample means obtained in step 2 including

f: P(x): P(): *P(): EP(x): Ex-P(F) and 2 P(F). (13 pts.)

e. Determine the mean, voriance and standard deviation of the sample mean. (6 pts.)