A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high IQ society. There are 110,000 Mensa members in 100 countries throughout the world. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?22. TV viewing reached a new high when the Nielson Company reported a mean daily viewing time of 8.35 hours per household. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily TV viewing per household.a. What is the possibility of a house viewing between 5 -10 hours a day?b. How many hours of TV viewing must a household have in order to be in the top 3% of all TV viewing households?c. What is the probability that a household views more than 3 hours of TV a day?

Question
Asked Jan 28, 2020
507 views

A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high IQ society. There are 110,000 Mensa members in 100 countries throughout the world. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?


22. TV viewing reached a new high when the Nielson Company reported a mean daily viewing time of 8.35 hours per household. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily TV viewing per household.

a. What is the possibility of a house viewing between 5 -10 hours a day?

b. How many hours of TV viewing must a household have in order to be in the top 3% of all TV viewing households?

c. What is the probability that a household views more than 3 hours of TV a day?

 

check_circle

Expert Answer

Step 1

Hey, since there are multiple questions posted, we will answer first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

The international high IQ society Mensa conducted a test to give membership to the person who gets top 2% marks in the test. The IQ scores follows normal distribution with mean 100 and standard deviation 15.

Step 2

The score of a person to qu...

Statistics homework question answer, step 2, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a...

A: Here, it is provided that the mean is 0 and standard deviation is 1.Consider, X be the random variab...

question_answer

Q: In Exercises, use Table VIII and, if necessary, the reciprocal property of F-curves to find the requ...

A: a).Software procedure:Step by step procedure to obtain F-value using Minitab software is given below...

question_answer

Q: Testing Claims About Proportions. In Exercises 7–22, test the given claim. Identify the null hypothe...

A: a.State the test hypotheses.Let the first population denote Burger King and the second population de...

question_answer

Q: A random number generator picks a number from 15 to 60 in a uniform manner. Round answers to 4 decim...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

question_answer

Q: In each of Exercises, suppose that you want to perform a hypothesis test for a population mean. Assu...

A: For testing population mean:If sample size is small and the population is normally distributed then ...

question_answer

Q: Infant Mortality Rate. A social scientist wants to predict the infant mortality rate in cities in th...

A: a)Predictor variable:Predictor variable in a regression is the independent variable, which explains ...

question_answer

Q: Angela wants to estimate the mean number of siblings for each student in her school. She records the...

A: Explanation:Here, estimate the mean number of siblings for each student in Angela school. Moreover, ...

question_answer

Q: True/False  Characterize each of the following statements as being true or false. a. In a hypothesis...

A: a.P-value method: In this method, the P-value is compared with significance level for testing of hyp...

question_answer

Q: Suppose x1 and x2 are predictor variables for a response variable y. a. The distribution of all poss...

A: a.Yes, the distribution of all possible values of the response variable corresponding to particular ...