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 theonly child. She finds that 47% 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 Pp > 0.47), which is the probability that there will be 47% or more individuals with IQscores over 100 in a random sample of 400. Round your answer to four decimal places.

Answered: Image /qna-images/answer/32d52e8a-03f7-4d91-86e2-5cd7db0f409a.jpg

Answered: A researcher wants to investigate the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Graduate Record Exam is a standardized test taken by many graduating college seniors. GRE scores are often included in applications to masters or doctoral programs. Suppose that a psychology major received a score of X = 160 on the verbal section of the GRE and a score of X = 159 on the quantitative section of the GRE. The mean verbal GRE score for the years 2014-2017 among psychology majors was M = 152, s = 7. The mean quantitative score for the same years was M = 149, s = 7. Use z-scores to describe the student's performance relative to other psychology majors. On which section, verbal or quantitative, was the student's performance better? Round your answers to two decimal places. Verbal z-score is z = Quantitative z-score is z = The student's performance relative to other psychology majors was weaker stronger on the quantitative GRE than on the verbal GRE.
D. In panel data, there are two key models, REM and FEM. Explain what the two models are, stating their key assumptions, differences, advantages and disadvantages.
The sensitivity analysis in the Quality Sweaters example was on the response rate. Suppose now that the response rate is known to be 8%, and the company wants to perform a sensitivity analysis on the number mailed. After all, this is a variable under direct control of the company. Create a one-way data table and a corresponding line chart of profit versus the number mailed, where the number mailed varies from 80,000 to 150,000 in increments of 10,000. Does it appear, from the results you see here, that there is an optimal number to mail, from all possible values, that maximizes profit? Write a concise memo to management about your results.
Can you please help with this question? Life insurance companies are keenly interested in predicting how long their customers will live, because their premiums and profitability depend on such numbers. An actuary for one insurance company gathered data from 100 recently deceased male customers. He recorded the age at death of the customer plus the ages at death of his mother and father, the mean ages at death of his grandmothers and the mean ages at death of his grandfathers. These data are recorded in columns 1 to 5 respectively, in file LONGEVITY.xlsx. a Perform a multiple regression analysis on these data. b Interpret the coefficient estimates and their signs. c Test for the significance of all the independent variable coefficients. (alpha = 0.05) d Is the model likely to be useful in predicting men’s longevity? e Are the required conditions satisfied? Justify your answer. f Predict the longevity of a man whose parents lived to the age of 70, whose grandmothers averaged 80 years and…
Please answer all sub-parts A doctor wanted to determine whether there is a relation between a male’s age and his HDL (so-called good cholesterol). He randomly selected 9 of his patients and determined their HDL cholesterol. The data is reported in the table below: Age (Yrs) HDL (?μmol/L) 38 57 42 54 46 34 32 56 55 35 52 40 61 42 61 38 26 47 a) Compute the regression equation for HDL as a function of age. b)Interpret the meaning of the regression parameters. c) Compute r and r2. Interpret these statistics. d) What is your opinion of the usefulness of using age as a predictor of HDL?
The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. Use the histogram to answers parts (a) through (g). 1 OA. 150-160 B. 155 OC. 60-69 OD. 150-159 M (f) What percent of students had an IQ of at least 120? % (Type an integer or a decimal. Do not round.) (g) Did any students have an IQ of 164? OA. Yes, because there is a frequency of a score of 165. OB. Yes, because there is a bar in the 150-159 class. C. No, because there is a bar in the 150-159 class. OD. No, because there are no bars, or frequencies, greater than an IQ of 160. Frequency 80- 60- 40- 20- IQs of 7th Grade Students 12 44 57 43 29 7 2 3 2 + 60 70 80 90 100 110 120 130 140 150 160
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Refer to the figure at the right. At a =0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? Assume the survey included a random sample of 248 men and 244 women. Percentage of 18- to 24-year olds iving in parents' homes 7051.5% 41.2% 46.6% 44.3% 2000 2012 I Men I Women Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: P1 P2 O D. Ho: P, > P2 Cc. Họ: P1 = P2 Ha: P, SP2 H3: P, *P2 Find the critical value(s). The critical value(s) is(are) +1.65. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. z= 2.29 (Round to two decimal places as needed.) Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? Yes , at the 10% significance level, there is sufficient evidence to support the claim.
You are the product manager for Carl's ice cream. The company president asked you to determine if Carl's ice cream has equal sales as Ole ice cream, which is a strong competitor. The table below contains weekly sales for competing brands for randomly selected 4 approximately equal size stores that did not follow a normal distribution. (Use two digits after deimal point) Carl's Sales Ole Sales 1500 2000 1700 2500 1800 2500 1700 2300 Is there a difference between mean sales at a=5%? a. Ho Hi: Since test statistic = + than critical value = . we * and Therefore mean sales are b. Can it be concluded at 5% significance level that the population median sales for Carl's ice cream exceeds 1600? Ho H: test statistic = Since a=0.05 is * than the p-value = There is * evidence to conclude that median sales for Carl's ice cream is * 1600.
A group of migraine headache sufferers were tracked over their lifetimes with data taken every 10 years. The scatter plot shows the number of headaches per year versus age, in years. How would you estimate the number of headaches at age 100? Question 2 options: Draw a line of best fit and interpolate. Wait until a sufficient number of subjects have reached the age of 100. Draw a line of best fit and extrapolate. Use the number from age 80 and divide by 2.
A population of N = 20 scores has a mean of = 10. One score in the population is changed from X = 25 to X = 5. What is the value of the new population 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 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.

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