Question

In: Statistics and Probability

On a planet far far away from Earth, IQ of the ruling species is normally distributed...

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 103 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that a randomly selected person's IQ is over 85.  Round your answer to 4 decimal places.

c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.

d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.
Q1:
Q3:
IQR:

Solutions

Expert Solution


Related Solutions

On a planet far far away from Earth, IQ of the ruling species is normally distributed...
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 100 and a standard deviation of 16. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N( , b. Find the probability that a randomly selected person's IQ is over 116. Round your answer to 4 decimal places. c. A school offers special services for all children...
On a planet far far away from Earth, IQ of the ruling species is normally distributed...
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 105 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person's IQ is over 97. Round your answer to 4 decimal places. c. A school offers special services for all children in...
On a planet far far away from Earth, IQ of the ruling species is normally distributed...
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 119 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N( 119 , 15 ) b. Find the probability that a randomly selected person's IQ is over 113. Round your answer to 4 decimal places. c. A school offers special services...
Long, long ago, on a planet far, far away, a physics experiment was carried out. First,...
Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.210- kg ball with zero net charge was dropped from rest at a height of 1.00 m. The ball landed 0.450s later. Next, the ball was given a net charge of 7.80?C and dropped in the same way from the same height. This time the ball fell for 0.635s before landing. What is the electric potential at a height of 1.00 m above...
Planet Tatooine in a galaxy far far away has 2 moons, Amana and Endinus. Amana has...
Planet Tatooine in a galaxy far far away has 2 moons, Amana and Endinus. Amana has a period of 14 hours 24 minutes and an average distance from the centre of Tatooine of 1.38 x 10^5 km. The average distance of Endinus from the centre of Tatooine is 2.38 x 10^5 km. a) What is the orbital period of Endinus? b) Determine the mass of Tatooine.
IQ scores are known to be normally distributed. The mean IQ score is 100 and the...
IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the population has an IQ between 85 and 105. Need to solve it through Excel
) Scores on an IQ test are normally distributed. A sample of 20 IQ scores had...
) Scores on an IQ test are normally distributed. A sample of 20 IQ scores had standard deviation s = 8. The developer of the test claims that the population standard deviation is ı = 12. Do these data provide sufficient evidence to contradict this claim? Use the Į = 0.05 level of significance. 3) A) Reject H0. The population standard deviation appears to differ from 12. B) Do not reject H0. There is insufficient evidence to conclude that the...
Scores on an IQ test are normally distributed. A sample of 10 IQ scores had standard...
Scores on an IQ test are normally distributed. A sample of 10 IQ scores had standard deviation s=7. (a) Construct a 98% confidence interval for the population standard deviation . Round the answers to at least two decimal places. (b) The developer of the test claims that the population standard deviation is 9. Does this confidence interval contradict this claim? Explain  
The claim is that the IQ scores of statistics professors are normally​ distributed, with a mean...
The claim is that the IQ scores of statistics professors are normally​ distributed, with a mean less than 133. A sample of 11 professors had a mean IQ score of 130 with a standard deviation of 8. Find the value of the test statistic.
The claim is that the IQ scores of statistics professors are normally​ distributed, with a mean...
The claim is that the IQ scores of statistics professors are normally​ distributed, with a mean less than 125. A sample of 19 professors had a mean IQ score of 123 with a standard deviation of 4. Find the value of the test statistic. The value of the test statistic is .....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT