Question

A particular IQ test is standardized to a Normal​ model, with a mean of 100100 and...

A particular IQ test is standardized to a Normal​ model, with a mean of

100100

and a standard deviation of

2020.

​a) Choose the model for these IQ scores that correctly shows what the​ 68-95-99.7 rule predicts about the scores.

A.

font size decreased by 3 120120

font size decreased by 2 mu plus sigmaμ+σ

font size decreased by 2 mu plus 2 sigmaμ+2σ

font size decreased by 2 mu plus 3 sigmaμ+3σ

font size decreased by 2 mu minus sigmaμ−σ

font size decreased by 2 mu minus 2 sigmaμ−2σ

font size decreased by 2 mu minus 3 sigmaμ−3σ

font size decreased by 2 muμ

font size decreased by 3 140140

font size decreased by 3 100100

font size decreased by 3 160160

font size decreased by 3 8080

font size decreased by 3 6060

font size decreased by 3 180180

68%95%99.7%

A bell-shaped curve with horizontal axis from less than 60 to 180 plus in intervals of 20 begins close to the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 120, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 100, to mu plus sigma, 140, is labeled "68%"; the region from mu minus 2 times sigma, 80, to mu plus 2 times sigma, 160, is labeled "95%"; the region from mu minus 3 times sigma, 60, to mu plus 3 times sigma, 180, is labeled "99.7%."

B.

font size decreased by 3 100100

font size decreased by 2 mu plus sigmaμ+σ

font size decreased by 2 mu plus 2 sigmaμ+2σ

font size decreased by 2 mu plus 3 sigmaμ+3σ

font size decreased by 2 mu minus sigmaμ−σ

font size decreased by 2 mu minus 2 sigmaμ−2σ

font size decreased by 2 mu minus 3 sigmaμ−3σ

font size decreased by 2 muμ

font size decreased by 3 120120

font size decreased by 3 8080

font size decreased by 3 140140

font size decreased by 3 6060

font size decreased by 3 4040

font size decreased by 3 160160

68%95%99.7%

A bell-shaped curve with horizontal axis from less than 40 to 160 plus in intervals of 20 begins close to the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 100, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 80, to mu plus sigma, 120, is labeled "99.7%"; the region from mu minus 2 times sigma, 60, to mu plus 2 times sigma, 140, is labeled "95%"; the region from mu minus 3 times sigma, 40, to mu plus 3 times sigma, 160, is labeled "68%."

C.

font size decreased by 3 100100

font size decreased by 2 mu plus sigmaμ+σ

font size decreased by 2 mu plus 2 sigmaμ+2σ

font size decreased by 2 mu plus 3 sigmaμ+3σ

font size decreased by 2 mu minus sigmaμ−σ

font size decreased by 2 mu minus 2 sigmaμ−2σ

font size decreased by 2 mu minus 3 sigmaμ−3σ

font size decreased by 2 muμ

font size decreased by 3 120120

font size decreased by 3 8080

font size decreased by 3 140140

font size decreased by 3 6060

font size decreased by 3 4040

font size decreased by 3 160160

68%95%99.7%

A bell-shaped curve with horizontal axis from less than 40 to 160 plus in intervals of 20 begins close to the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 100, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 80, to mu plus sigma, 120, is labeled "68%"; the region from mu minus 2 times sigma, 60, to mu plus 2 times sigma, 140, is labeled "95%"; the region from mu minus 3 times sigma, 40, to mu plus 3 times sigma, 160, is labeled "99.7%."​b) In what interval would you expect the central

6868​%

of the IQ scores to be​ found?Using the​ 68-95-99.7 rule, the central

6868​%

of the IQ scores are between

nothing

and

nothing.

​(Type integers or decimals. Do not​ round.)

​c) About what percent of people should have IQ scores above

160160​?

Using the​ 68-95-99.7 rule, about

nothing​%

of people should have IQ scores above

160160.

​(Type an integer or a decimal. Do not​ round.)

​d) About what percent of people should have IQ scores between

4040

and

6060​?

Using the​ 68-95-99.7 rule, about

nothing​%

of people should have IQ scores between

4040

and

6060.

​(Type an integer or a decimal. Do not​ round.)

​e) About what percent of people should have IQ scores above

140140​?

Using the​ 68-95-99.7 rule, about

nothing​%

of people should have IQ scores above

140140.

​(Type an integer or a decimal. Do not​ round.)

Click to select your answer(s).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The cholesterol levels of an adult can be described by a normal model with a mean...
The cholesterol levels of an adult can be described by a normal model with a mean of 185 ​mg/dL and a standard deviation of 28 . The cholesterol levels of an adult can be described by a normal model with a mean of 185 ​mg/dL and a standard deviation of 28 . ​a) Draw and label the normal model. A. font size decreased by 3 157 font size decreased by 3 129 font size decreased by 3 101 font size...
Suppose the scores on an IQ test approximately follow a normal distribution with mean 100 and...
Suppose the scores on an IQ test approximately follow a normal distribution with mean 100 and standard deviation 12. Use the 68-95-99.7 Rule to determine approximately what percentage of the population will score between 100 and 124.
Find the area of the shaded region. The graph depicts the standard normal distribution of bone...
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. font size decreased by 2 z equals negative 0.93 font size decreased by 2 z equals 1.28 A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates “z equals negative 0.93,” which is to the left of the curve’s center and peak,...
The lengths of human pregnancies are normally distributed with muμequals=266 days and sigmaσequals=16 days. Complete parts...
The lengths of human pregnancies are normally distributed with muμequals=266 days and sigmaσequals=16 days. Complete parts ​(a) and ​(b) below. ​(a) The following figure represents the normal curve with mu equals 266μ=266 days and sigmaσequals=1616 days. The area to the leftleft of Upper X equals 235X=235 is 0.02630.0263. Provide an interpretation of this area. Choose the correct answer below. A.The proportion of human pregnancies that last lessless than 235235 days is 0.97370.9737. B.The proportion of human pregnancies that last moremore...
A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100...
A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100 and a standard deviation of σ=18. For samples of size n=36 consider the sampling distribution of the sample mean ("xbar"). Note that 18 36=3 and that 100±(1)(3)⟹97 to 103 100±(2)(3)⟹94 to 106 100±(3)(3)⟹91 to 109 According to the empirical rule, approximately _____ percent of samples of size 36 will produce a sample mean between 97 and 103. Group of answer choices 90 95 99.7...
An IQ test scoring is designed to have mean of 100 and a standard deviation of...
An IQ test scoring is designed to have mean of 100 and a standard deviation of 15. The scores are known to be normally distributed. A principal at a private school wants to investigate whether the average IQ of the students at her school is statistically different from the designed mean. She randomly samples from the school and has 15 students take the IQ test. The average test score of the sample is 95 and the sample standard deviation is...
The population IQ score was collected from a national-wide test. The mean population IQ score is...
The population IQ score was collected from a national-wide test. The mean population IQ score is 101 and with a stand deviation of 15. The data of original population follows the normal distribution. Use the Z-score table provided to answer the following questions: (1) What is the Z score for IQ score = 95? Answer:  (Please report your answer to 3 decimal places.) (2) What is the Z score for IQ score = 110? Answer:  (Please report your answer to 3 decimal...
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed...
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 27.9 kilograms and standard deviation σ = 3.2 kilograms. Let x be the weight of a fawn in kilograms. The Standard Normal Distribution (mu = 0, sigma = 1). A normal curve is graphed above a horizontal axis labeled z. There are 7 equally spaced labels on the axis; from left to right they are: -3, -2, -1, 0, 1,...
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed...
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 28.3 kilograms and standard deviation σ = 3.1 kilograms. Let x be the weight of a fawn in kilograms. The Standard Normal Distribution (mu = 0, sigma = 1). A normal curve is graphed above a horizontal axis labeled z. There are 7 equally spaced labels on the axis; from left to right they are: -3, -2, -1, 0, 1,...
Suppose the lengths of human pregnancies are normally distributed with muequals266 days and sigmaequals16 days. Complete...
Suppose the lengths of human pregnancies are normally distributed with muequals266 days and sigmaequals16 days. Complete parts ​(a) and​ (b) below. ​(a) The figure to the right represents the normal curve with mu equals 266 days and sigmaequals16 days. The area to the left of Upper X equals 245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT