Week 9 Statistics Assignment Questions 2015

| August 30, 2017

Question
Question 1Provide an appropriate response. Use the Standard Normal Table to find the probability.
Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes less than $28,000.

A.

0.9981

B.

0.2113

C.

0.0918

D.

0.9827

Question 2Provide an appropriate response.
Assume that the random variable X is normally distributed, with mean and standard deviation Compute the probability P(38< X< 70).

A.

0.8914

B.

0.8819

C.

0.7888

D.

0.8944

Question 3Provide an appropriate response.
Find the area of the indicated region under the standard normal curve.

A.

0.0968

B.

0.9032

C.

0.0823

D.

0.9177

Question 4Provide an appropriate response.Use the standard normal distribution to find P(-2.50< z< 1.50).

A.

0.8822

B.

0.9270

C.

0.5496

D.

0.6167

Question 5Provide an appropriate response.Assume that the random variable X is normally distributed, with mean and standard deviation Compute the probability P(X 92).

A.

0.2420

B.

0.7881

C.

0.2119

D.

0.1977

Question 7Provide an appropriate response. Use the Standard Normal Table to find the probability.Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The cheerleaders for a local professional basketball team must be between 65.5 and 68.0 inches. If a woman is randomly selected, what is the probability that her height is between 65.5 and 68.0 inches?

A.

0.7881

B.

0.1844

C.

0.9608

D.

0.3112

Question 8Provide an appropriate response.
Find the area of the indicated region under the standard normal curve.

A.

0.6562

B.

0.3438

C.

1.309

D.

0.309

Question 9Provide an appropriate response.
Find the area of the indicated region under the standard normal curve.

A.

0.0968

B.

0.4032

C.

0.9032

D.

0.0823

Question 10Provide an appropriate response.
Find the area under the standard normal curve between z= 1.5 and z= 2.5.

A.

0.9938

B.

0.9816

C.

0.9332

D.

0.0606

Question 1Provide an appropriate response. Use the Standard Normal Table to find the probability.
An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with ?= 15.5 and ?= 3.6. What is the probability that during a given week the airline will lose more than 20 suitcases?

A.

0.4040

B.

0.8944

C.

0.1056

D.

0.3944

Question 2Provide an appropriate response. Use the Standard Normal Table to find the probability.
Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes more than $36,000.

A.

0.4040

B.

0.1056

C.

0.0918

D.

0.9082

Question 3.open.suny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_151845_1&course_id=_5753_1&content_id=_1092871_1&step=null”>Provide an appropriate response.
The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 22.2 and the standard deviation was 4.9. The test scores of four students selected at random are 16, 24, 9, and 35.
a) Find the z-scores that correspond to each value.
b) Determine whether any of the values are unusual.

___________________________________________________________________________________________________________________________________________________________________________________________________________________________

Question 4Provide an appropriate response.
Find the area under the standard normal curve between z= 1 and z= 2.

A.

0.8413

B.

0.1359

C.

0.2139

D.

0.5398

Question 5Provide an appropriate response.Find the area under the standard normal curve to the left of z= 1.25.

A.

0.8944

B.

0.2318

C.

0.1056

D.

0.7682

Question 6Provide an appropriate response.
Find the area under the standard normal curve to the right of z= 1.

A.

0.1587

B.

0.8413

C.

0.5398

D.

0.1397

Question 7.open.suny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_151845_1&course_id=_5753_1&content_id=_1092871_1&step=null”>Provide an appropriate response. Use the Standard Normal Table to find the probability.
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The U.S. Army requires that the heights of women be between 58 and 80 inches. If 200 women want to enlist in the U.S. Army, how many would you expect to meet the height requirements?

Question 1Provide an appropriate response. Use the Standard Normal Table to find the probability.
Assume that blood pressure readings are normally distributed with and A blood pressure reading of 145 or more may require medical attention. What percent of people have a blood pressure reading greater than 145?

A.

0.09%

B.

11.09%

C.

99.91%

D.

6.06%

Question 2Find the probability of z occurring in the indicated region.

A.

0.9332

B.

0.0918

C.

0.9082

D.

0.0668

Question 3Provide an appropriate response.
Find the area under the standard normal curve to the right of z= 1.

A.

0.1397

B.

0.1587

C.

0.8413

D.

0.5398

Question 4Provide an appropriate response.
Find the area under the standard normal curve between z=-1.25 and z= 1.25.

A.

0.2112

B.

0.7888

C.

0.8817

D.

0.6412

Question 5.open.suny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_151843_1&course_id=_5753_1&content_id=_1092902_1&step=null”>Provide an appropriate response. Use the Standard Normal Table to find the probability.
An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with ?= 15.5 and ?= 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases?

A.

0.8944

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