Project #70865 - 11 math problems need help

11 math problems please take a look and see if can help me 

 

Question 1 of 20

5.0 Points

The students in Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

 

552 593358 352 537

349 357 596 470 482

 

A. 446.8

 

 

B. 474.6

 

 

C. 462.8

 

 

D. 464.6

 

 

 

 

 

 

 

 

 

Question 2 of 20

5.0 Points

Consider the distribution of mathematics SAT scores of students in honors calculus at a liberal arts college. What would you expect the shape and variation of the distribution to be?

 

A. Symmetric with little variation

 

B. Symmetric with large variation

 

C. Skewed right with large variation

 

D. Skewed left with little variation

 

Question 3 of 20

5.0 Points

Find the mode(s) for the given sample data.

 

66, 25, 66, 13, 25, 29, 56, 66

 

 

A. 25

 

 

 

B. 56

 

 

 

C. 25 & 66

 

 

 

D. 66

 

 

 

 

 

 

 

 

 

 

Question 4 of 20

5.0 Points

 

 

         

 

The mathematics SAT scores of the seven students in a mathematics seminar are 538, 550, 570, 593, 610, 622, and 634. Suppose the student with the score 634 drops the seminar and is replaced by a student with a score of 600. What will happen to the mean and the median scores of the class?

 

 

A. Neither mean nor median will change.

 

 

 

B. The median will decrease, the mean will not change.

 

 

 

C. The median will not change, the mean will decrease.

 

 

 

D. Both mean and median will decrease.

 

 

 

 

 

 

 

 

 

 

Question 5 of 20

5.0 Points

 

 

         

 

A softball player has a batting average of exactly .300 and no more than

60 times at bat. Suppose this player gets 5 hits in her next 6 times at

bat. What is the highest possible average she could now have?

 

 

A. .500

 

 

 

B. .833

 

 

 

C. .348

 

 

 

D. There is insufficient information to answer the question

 

 

 

 

 

 

 

 

 

 

Question 6 of 20

5.0 Points

 

 

         

 

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the average mpg for the four models manufactured is 24 mpg and the government standard is 31 mpg. The manufacturer will add a model. What mileage must the new model get so that the manufacturer meets the government requirement?

 

 

A. 32 mpg

 

 

 

B. 38 mpg

 

 

 

C. 59 mpg

 

 

 

D. None of the above

 

 

 

 

 

 

 

 

 

 

Question 7 of 20

5.0 Points

 

 

         

 

The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class?

 

A. The mean will increase; the median will be unchanged.

 

 

B. The median will increase; the mean will be unchanged.

 

 

C. Neither the mean nor the median will change.

 

 

D. Both the median and the mean will increase.

 

 

 

 

 

 

 

 

 

Question 8 of 20

5.0 Points

The annual precipitation for one city is normally distributed with a mean of 28 inches and a standard deviation of 3.4 inches. Fill in the blanks.

In 95% of the years, the precipitation in this city is between __________ and __________ inches.

Apply the 68-95-99.7 rule to this question.

 

A. 21.2, 34.8

 

 

B. 21.2, 34.6

 

 

C. 22.4, 34.6

 

 

D. 22.4, 34.8

 

Question 9 of 20

5.0 Points

A bank’s loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 225 and 275.

 

 

A. 0.2416

 

 

 

B. 0.2418

 

 

 

C. 0.2417

 

 

 

D. 0.2420

 

 

 

 

 

 

 

 

 

 

Question 10 of 20

5.0 Points

 

 

         

 

The mean score on the exit examination for an urban high school is 63 with a standard deviation of 8. What is the mean of the distribution of sample means with a sample size of 9?

 

A. 62

 

 

B. 63

 

 

C. 63.5

 

 

D. 64

 

 

 

 

 

 

 

 

 

 

Question 11 of 20

5.0 Points

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.77 hours. Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the sample is computed. Assuming the mean times are normally distributed, what percentage of sample means are greater than 7.7 hours?

 

A. 0.62%

 

 

B. 34.46%

 

 

C. 65.54%

 

 

D. 99.38%

 

 

 

 

 

 

 

 

 

Question 12 of 20

5.0 Points

The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mm Hg and a standard deviation of 12 mm Hg. What percentage of 18-year-old women have a systolic blood pressure that is within 3 standard deviations of the mean on either side?

Apply the 68-95-99.7 rule to this question.

 

A. 68%

 

 

B. 95%

 

 

C. 100%

 

 

D. 99.7%

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 05/13/2015 12:00 am
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