# statistics help - 29201

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• From: Mathematics,
• Due on: Tue 22 Oct, 2013 (09:48am)
• Asked on: Tue 22 Oct, 2013
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1. The average monthly mortgage payment including principal and interest is \$982 in the United States. If the standard deviation is approximately \$180 and the mortgage payments are approximately normally distributed, find the probability that a randomly selected monthly payment is the following. State your answer indecimal form.

b. More than \$1475.

### Question 2

1.
Find the probability using the standard normal distribution. P(-1.23 < z < 0)

### Question 3

1.
Use the normal distribution graph in the text to find the z value that corresponds to the given area. 42. z = ?

### Question 4

1.
Use the normal distribution graph in the text to find the z value that corresponds to the given area. 40. z = ?

### Question 5

1.
For an educational study, a volunteer must place in the middle 50% on a test. If the mean for the population is 100 and the standard deviation is 15, find the two limits (upper and lower) for the scores that would enable a volunteer to participate in the study. Assume the variable is normally distributed. Round to two decimal places. Example: 5.03 to 76.54

### Question 6

1.
Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed. Please put you answer in decimal form.

b. If a sample of 30 adults is selected, find the probability that the sample mean will be between 120 and 121.8 mm Hg.

### Question 7

1.
Find the probability using the standard normal distribution. P(-0.20 < z < 1.56)

### Question 8

1.
Use the normal distribution graph in the text to find the z value that corresponds to the given area. 44. z = ?

### Question 9

1.
Find the probability using the standard normal distribution. P(z > -1.43)

### Question 10

1.
The average time a person spends at Barefoot Landing Seaquarium is 96 minutes. The standard deviation is 17 minutes. Assume the variable is normally distributed. If a visitor is selected at random, find the probability that he or she will spend the following time at the seaquarium. Please put answer in decimal form.

a. At least 120 minutes.

### Question 11

1.
Find the probability using the standard normal distribution. P(1.12 < z < 1.43)

### Question 12

1.
Find the probability using the standard normal distribution. P(z < -1.77)

### Question 13

1.
The average time a visitor spends at the Renzie Park Art Exhibit is 62 minutes. The standard deviation is 12 minutes. If a visitor is selected at random, find the probability that he or she will spend the following amount of time at the exhibit. Assume the variable is normally distributed. Please put in percent form.

a. At least 82 minutes.

### Question 14

1.
A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8. Assume cell phone life is normally distributed variable.

### Question 15

1.
Find the probability using the standard normal distribution. P(0 < z <1.96)

### Question 16

1.
Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed. Please put you answer in decimal form.

a. If an individual is selected, find the probability that the individual's blood pressure will be between 120 and 121.8 mm Hg.

### Question 17

1.
The average time a person spends at Barefoot Landing Seaquarium is 96 minutes. The standard deviation is 17 minutes. Assume the variable is normally distributed. If a visitor is selected at random, find the probability that he or she will spend the following time at the seaquarium. Please put answer in decimal form.

b. At most 80 minutes.

### Question 18

1.
The average monthly mortgage payment including principal and interest is \$982 in the United States. If the standard deviation is approximately \$180 and the mortgage payments are approximately normally distributed, find the probability that a randomly selected monthly payment is the following. State your answer indecimal form.

a. more than \$1000

### Question 19

1.
A mandatory competency test for high school sophmores has a normal distribution with a mean of 400 and a standard deviation of 100.

a. The top 3% of students receive \$500.00. What is the minimum score you would need to receive this award?

### Question 20

1.
The average monthly mortgage payment including principal and interest is \$982 in the United States. If the standard deviation is approximately \$180 and the mortgage payments are approximately normally distributed, find the probability that a randomly selected monthly payment is the following. State your answer indecimal form.

c. Between \$800 and \$1150.

### Question 21

1.
At a large publishing company, the mean age of proofreaders is 36.2 years, and the standard deviation is 3.7 years. Assume the variable is normally distributed. Please put you answer in decimalform.

a. If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5 years.

### Question 22

1.
For a specific year, Americans spent an average of \$71.12 for books. Assume the variable is normally distributed. If the standard deviation of the amount spent on books is \$8.42, find these probabilities for a randomly selected American. Put answer in percent form.

a. He or she spent more than \$60 per year on books.

### Question 23

1.
At a large publishing company, the mean age of proofreaders is 36.2 years, and the standard deviation is 3.7 years. Assume the variable is normally distributed. Please put you answer in decimalform.

b. If a random sample of 15 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years.

### Question 24

1.
Find the probability using the standard normal distribution. P(z > 0.82)

### Question 25

1.
A survey found that Americans generate an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds. Please put you answer in decimal form.

### Question 26

1.
The average time a visitor spends at the Renzie Park Art Exhibit is 62 minutes. The standard deviation is 12 minutes. If a visitor is selected at random, find the probability that he or she will spend the following amount of time at the exhibit. Assume the variable is normally distributed. Please put in percent form.

b. At most 50 minutes.

### Question 27

1.
The Speedmaster IV automobile gets an average 22.0 miles per gallon in the city. The standard deviation is 3 miles per gallon. Assume the variable is normally distributed. Find the probability that on any given day, the car will get more than 26 miles per gallon when driven in the city. Put answer in decimal form.

### Question 28

1.
In order to help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed. Round to two decimal places.
1.
For a certain group of individuals, the mean hemoglobin level in the blood is 21.0 grams per milliliter (g/ml). The standard deviation is 2 g/ml. If a sample of 25 individuals is selected, find the probability that the mean will be greater than 21.3 g/ml. Assume the variable is normally distributed. Please put you answer in decimal form.

### Question 30

1.
In order to qualify for letter sorting, applicants are given a speed-reading test. The scores are normally distributed with a mean of 80 and a standard deviation of 8. If only the top 15% of the applicants are selected, find the cutoff score. Round to two decimal places.
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