Question

Show work please. Scores on a particular test are normally distributed with a mean of 70...

Show work please.

Scores on a particular test are normally distributed with a mean of 70 and an SD of 15. Between what two scores would you expect:

a. 68% of the scores to fall between: ______ and ______?

b. 96% of the scores to fall between: ______ and ______?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

P( - 1< X < + 1) = 68%

P(65 - 1(15) < X < 65 + 1(15)) = 68%

P(50 < X < 80) = 68%

Answer = 50 and 80

(d)

P( - 3< X < + 3) = 96%

P(65 - 3(15) < X < 65 + 3(15)) = 96%

P(20< X <110) = 96%

Answer = 20 and 110

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Need calculations and answer. Scores on a particular test are normally distributed with a mean of...
Need calculations and answer. Scores on a particular test are normally distributed with a mean of 70 and an SD of 15. between what 2 scores would you expect 96% of the scores to fall between ______________ and ________.
Show work please. 1) If the scores for a test have a mean of 70 and...
Show work please. 1) If the scores for a test have a mean of 70 and a standard deviation of 12, find the percentage of scores that will fall above 50. A) 95.25% B) 95.54% C) 45.07% D) 45.54% 2) The average age of a vehicle registered in the U.S. is 8 years. If a random vehicle is selected, find the probability that the age is between 80 and 110 months. Assume the standard deviation is 15. A) .6667 B)...
In a normally distributed set of scores, the mean is 35 and the standard deviation is...
In a normally distributed set of scores, the mean is 35 and the standard deviation is 7. Approximately what percentage of scores will fall between the scores of 28 and 42? What range scores will fall between +2 and -2 standard deviation units in this test of scores? Please show work.
Assume that test scores in a course are normally distributed with a mean of 62 and...
Assume that test scores in a course are normally distributed with a mean of 62 and a standard deviation of 12. In a class of 2,000 people, approximately how many students would have scored a. above 74? b. between 38 and 86? c. below 38? PLEASE SHOW WORK
The scores on a Japanese test are normally distributed with a mean of 70 and a...
The scores on a Japanese test are normally distributed with a mean of 70 and a standard deviation of 3.2. Show your work step by step to receive full credit. The distribution table is attached to the last page. 1) (2 points) The failing grade is anything 2.5 or more standard deviations below the mean. What is the cutoff for a failing score? 2) (2 points) If 3200 students took the test, how many students failed? 3) (2 points) If...
The scores on a certain test are normally distributed with a mean score of 70 and...
The scores on a certain test are normally distributed with a mean score of 70 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 70.3162?
Suppose the scores on a reading ability test are normally distributed with a mean of 65...
Suppose the scores on a reading ability test are normally distributed with a mean of 65 and a standard deviation of 8. A) If one student is chosen at random, what is the probability that the student's score is greater than 81 points"? B) If 500 students took the reading ability test HOW MANY students would expect to earn a score greater than 81 points? c) Find the probability of randomly selecting 35 students (all from the same class) that...
A math professor notices that scores from a recent test are normally distributed with a mean...
A math professor notices that scores from a recent test are normally distributed with a mean of 70 and a standard deviation of 4. (a) What score do 75% of the students test scores fall below? Answer: (b) Suppose the professor decides to grade on a curve. If the professor wants 2.5% of the students to get an A, what is the minimum score for an A? Answer:
IQ scores are Normally distributed with mean 100 and standard deviation 15. Please show working 1-...
IQ scores are Normally distributed with mean 100 and standard deviation 15. Please show working 1- Find the probability that an IQ result is between 75 and 95. 2- Find the probability of having an IQ greater than 120. 3- how high would you IQ have to be to be in the top 2% of all IQ results.
Assume that a set of test scores is normally distributed with a mean of 100 and...
Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 10. Use the​ 68-95-99.7 rule to find the following quantities. a. The percentage of scores less than 100 is __% b. The percentage of scores greater than 110 is __% c. The percentage of scores between 80 and 110 is __% (Round to one decimal place as needed)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT