A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people whogrew up as the only child. She finds that 52% of them have an IQ score over 100. It is known that 50% of the general population has an IQ scoreexceeding 100.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean of p , where p is the proportion of people with IQ scores over 100 in a random sampleof 400 people.(b) Find the standard deviation of p.(c) Compute an approximation for P (p>0.52), which is the probability that there will be 52% or moreindividuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimalplaces.ContinueSubmit Assignment© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center| Accessibility??étv6.MacBook Ail80DIIDD12F6F7F8F9F10F11F4

Solution-: Given: n=400,P=0.50 We find, (a) The mean of p^ (b) The standard deviation of p^ (c)…

Answered: A researcher wants to investigate the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Taylor Swift is interested in learning what proportion of her fans want her to re-record her masters, so she takes a simple random sample of 500 fans and asks them. Of the 500 fans, 487 of them (97.4%) respond that they want her to re-record all of her masters. What is the parameter and what is its value? a. The parameter is the average number of all Taylor Swift fans who want her to re-record her masters, which is unknown. b. The parameter is the proportion of the sampled Taylor Swift fans who want her to re-record her masters, which is unknown. c. The parameter is the group of the sampled Taylor Swift fans who want her to re-record her masters, which is 487. d. The parameter is the proportion of the sampled Taylor Swift fans who want her to re-record her masters, which is 0.974. e. The parameter is the proportion of all Taylor Swift fans who want her to re-record her masters, which is unknown. f. The parameter is the proportion of all…
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.515), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
Step 1: Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 70% of vehicles on the roads in the Minneapolis-St. Paul metropolitan area are occupied by just the driver. You choose 84 vehicles at random. What are the mean and standard deviation of the proportion of vehicles in your sample that carry only one person? (Fill in the blanks below.) The mean is (1) . (Give your answer to 1 decimal place.) (2) The standard deviation is (Give your answer to 2 decimal places.) eBook Answer 1 Answer 2
Below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Do the limited data listed here show evidence of stealing by the security service company's employees? Security Service Company: Other Companies: Find the coefficient of variation for each of the two samples, then compare the variation. 1.5 1.5 1.6 1.9 The coefficient of variation for the amount collected by the security service company is 2.5%. (Round to one decimal place as needed.) 1.7 1.6 (...) 1.3 1.8 1.5 1.6 1.3 1.9 1.7 1.6 1.6 1.5 1.3 1.9 1.6 D 1.6
Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 49.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. |(c) Compute an approximation for P(p 20.495), which is the probability that there will be 49.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
A sample of n = 6 scores has a mean of M = 5. One person with a score of X= 12 is added to the distribution. What is the mean for the new set of scores? O M= 8
A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 3.8 (s = 4.8) for the 143 females and 2.3 (s = 2.8) for the 171 males. Complete parts a through c below. ... (Round to four decimal places as needed.) What does the standard error indicate? A. The standard error describes the spread of the sampling distribution of x₁ - x2- OB. The standard error is the standard deviation of the sample for this study. OC. The standard error is the difference in standard deviations for the two populations. OD. The standard error is the standard deviation of the difference between x₁ - x₂- b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if any) effect gender has on the mean HONC score. Use the significance level 0.05. The test statistic is…
On a scale of 0 to 10, the student rated her enjoyment of stats as an 8. The average rating among students is 5, and the average spread around that mean is 1.5. I got the z score as 2.0. Can you kindly help with these questions below? What percent of college students enjoy statistics more? What percent of college students enjoy statistics less?
Suppose in a given problem about the correlation between height and weight of 20 college students, we come up with an r value of 0.93. What is the value of the coefficient of determination? a. 0.84b. 0.85c. 0.86d. 0.87
Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 1% of the cases. A random sample of 1100 people who have stopped using the painkiller is going to be taken. Let p be the proportion of people in the sample who experience withdrawal symptoms. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P<0.02), which is the probability that fewer than 2% of the people in the sample experience withdrawal symptoms. Round your answer to four decimal places. 0 X

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS