Question

In: Statistics and Probability

Your measure of intelligence test booklet says that X= 100 (SD = 15). Using that information,...

Your measure of intelligence test booklet says that X= 100 (SD = 15). Using that information, match the following terms with its numerical value. Match

Mean _____ 1. 55 - 145

68% sure the true scores lies in the range of ___________ 2. 100

standard deviation _________ 3. 70 - 130

99% sure the true scores lies in the range of ________ 4. 85 - 115

95 % sure the true scores lies in the range of ________ 5. 15

Solutions

Expert Solution

Solution:

Mean = 100

68% sure the true scores lies in the range of 85 - 115

standard deviation = 15

99% sure the true scores lies in the range of  55 - 145

95 % sure the true scores lies in the range of  70 - 130

Explanation:

Given , Mean = 100 and standard deviation = 15

According to empirical rule ,

68% data lie in the range - and   - .

95% data lie in the range - 2 and   - 2​​​​​​​.

99% data lie in the range - 3 and   - 3​​​​​​​.


Related Solutions

- How would you define or measure intelligence? - In your opinion, is intelligence determined more...
- How would you define or measure intelligence? - In your opinion, is intelligence determined more by nature or nurture? - What are some problems in relying on IQ test scores to evaluate one’s overall intelligence?
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a person would score 130 or more on the test? A..0200 B..0500 C..0228 D..0250 What is the probability that a person would score between 85 and 115? A..6826 B..6800 C..3413 D..6587 Suppose that you enrolled in a class of 36 students, what is the probability that the class’ average IQ exceeds 130? A. almost zero...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a person score would be grater than 140?
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15 What is the probability that a person would score between 85 and 115?
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15.  Given a class with 12 students, what is the probability that the class' average IQ score is less than 115?
The scores for a certain test of intelligence are normally distributed with mean 100 and standard...
The scores for a certain test of intelligence are normally distributed with mean 100 and standard deviation Find the 80th percentile of these scores. Below is the table used, I still cant figure out what the 80% would be here: Standard Scores and Percentiles ​z-score Percentile ​z-score Percentile ​z-score Percentile ​z-score Percentile minus−3.5 00.02 minus−1.00 15.87 0.00 50.00 1.1 86.43 minus−3.0 00.13 minus−0.95 17.11 0.05 51.99 1.2 88.49 minus−2.9 00.19 minus−0.90 18.41 0.10 53.98 1.3 90.32 minus−2.8 00.26 minus−0.85 19.77...
Adult intelligence scores are distributed approximately normally with μ = 100 and σ = 15. Therefore,...
Adult intelligence scores are distributed approximately normally with μ = 100 and σ = 15. Therefore, means of simple random samples of n intelligence scores are distributed approximately normally with with μ = 100 and σ = 15/Ön. In each part of this question, carry out any calculations using two places after the decimal point for z scores and four places after the decimal point for proportions. a) What proportion of intelligence scores is lower than 94? b)  What proportion of...
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately...
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=111 and σ=18. (a) What proportion of children aged 13 to 15 years old have scores on this test above 101 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) (b) Enter the score which marks the lowest 20 percent of the distribution. (c) Enter the score which marks the highest 15 percent...
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately...
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=106 and σ=15. a) What proportion of children aged 13 to 15 years old have scores on this test above 88 ? Answer in decimal form. (b) Enter the score which marks the lowest 25 percent of the distribution. c) Enter the score which marks the highest 10 percent of the distribution.
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately...
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=106 and σ=15. a) What proportion of children aged 13 to 15 years old have scores on this test above 88 ? Answer in decimal form. (b) Enter the score which marks the lowest 25 percent of the distribution. c) Enter the score which marks the highest 10 percent of the distribution.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT