Mathematics, 11.02.2020 22:51 monica1670

After taking an aptitude test, the computer told Bob that he had a z-score of 1.08. If scores on the aptitude test are normally distributed, which of the following statements can Bob conclude from his score? Select one or more:A-Bob did worse than the mean score. B-About 14% of students taking the aptitude test did better than Bob. C-Bob scored within 1 standard deviation of the mean score. D-About 14% of students taking the aptitude test did worse than Bob. E-Bob scored within 2 standard deviations of the mean score. F-Bob did better than the mean score.

Answers: 1

Show answers

Answers

Answer from: jsully5159

B-About 14% of students taking the aptitude test did better than Bob.

E-Bob scored within 2 standard deviations of the mean score.

F-Bob did better than the mean score.

Step-by-step explanation:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Bob had a z-score of 1.08. This means that in the test, his grade was 1.08 standard deviations above the mean.

A-Bob did worse than the mean score.

He has a positive z-score, which means that he did better than the mean score. So this option is not correct.

B-About 14% of students taking the aptitude test did better than Bob.

A z-score of 1.08 has a pvalue of 0.8599. So 85.99% of the students taking the test did worse than Bob and 100-85.99 = 14.01% did better than Bob. So this option is correct.

C-Bob scored within 1 standard deviation of the mean score.

His grade was 1.08 standard deviations above the mean, so more than one standard deviation of the mean score. So this option is not correct.

D-About 14% of students taking the aptitude test did worse than Bob.

A z-score of 1.08 has a pvalue of 0.8599. So 85.99% of the students taking the test did worse than Bob and 100-85.99 = 14.01% did better than Bob. So this option is not correct.

E-Bob scored within 2 standard deviations of the mean score.

His grade was 1.08 standard deviations above the mean, so within 2 standard deviations of the mean score. So this option is correct.

F-Bob did better than the mean score.

He has a positive z-score, which means that he did better than the mean score. So this option is correct.

Answer from: Quest

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.

49 points me! it's a multiple choice, but still show your work so i know you're right. you so so

Answer from: Quest

1. 5/82.95% is better than 7/8

Another question on Mathematics

Mathematics, 21.06.2019 12:30

The nature park has a pride of 5 adult lions and 3 cubs. the adults eat 8 pounds of meat each day and the cubs eat 4 pounds. how much meat do the cubs and lions eat?

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

Use δjkl and δmpn to determine whether don's claim is true or false. which of the following should don use to prove the triangles are similar? sss sas aas aa

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

The pyramid below was dissected by a horizontal plane which shape describes the pyramid horizontal cross section

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Which statements describe the solutions to the inequality x< -20 check all that apply. there are infinite solutions. each solution is negative. each solution is positive. the solutions are both positive and negative. the solutions contain only integer values. the solutions contain rational number values.

Answers: 1

Answer

You know the right answer?

After taking an aptitude test, the computer told Bob that he had a z-score of 1.08. If scores on the...

Questions