IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose oneindividual is randomly chosen. Let X = 1Q of an individual.(a) Find the z-score for an IQ of 123, rounded to three decimal places.(b) Find the probability that the person has an iQ greater than 123.(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use your z-score from part (a), rounded to one decimal place).Shade: Left of a valueD Click and drag the arrows to adjust the values,-3-2 1 -14-1.5(d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQneeded to qualify for the MENSA organization.(e) Sketch the graph, and write the probability statement.Edit -Insert - Formats -BIU x x'A - A -<>E E 3E- E - 3 1() The middle 50% of IQs fall between what two values?(g) Sketch the graph and write the probability statement.Edit - Insert-FormatsBX,A <>ofΣ ΣΑ

Answered: IQ is normally distributed with a mean…

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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Terri Vogel, an amateur motorcycle racer, averages 129.41 seconds per 2.5-mile lap (in a 7 lap race) with a standard deviation of 2.25 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: logbook of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. Find the proportion of her laps that are completed between 129.57 and 130.63 seconds. (______)The fastest 3% of laps are under(______) seconds. The middle 40% of her laps are from(_____) seconds to(_______) seconds.
please find the test statistic find the p-value for the found test statistic round the p-value to the four decimal places as needed.
Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standarthed deviation of 15 0.6 the indicated IQ score, x is ________. Round to one decimal place as needed.
Use the formula to find the standard error of the distribution of differences in sample means, x⎯⎯1−x⎯⎯2x¯1-x¯2.Samples of size 100 from Population 1 with mean 95 and standard deviation 10 and samples of size 80 from Population 2 with mean 76 and standard deviation 17Round your answer for the standard error to two decimal places.standard error =
Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a tells you that the average length of trout caught in Pyramid Lake Is mu = 19 Inches. Howevera survey reported that of a random sample of 46 fish caught, the mean length was overline x =18.6 lnch , with estimated standard s = 2.7 inches. these data Indicate that the average length of a trout caught in Pyramid Lake less than mu = 19 inches? Use a=0.05 Please answer ONLY parts D & E
Find the indicated IQ score The graph to the right depicts IQ scores of adults in the scores are normally distributed with a mean of 100 and a standard deviation of 15The indicated IQ score, X is
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table, Click to view page 2 of the table. Step 1 теan(u) s tan dard o 90 115 The area of the shaded region is (Round to four decimal places as needed.) Step 2 Required pr X-µ = P = P (Z < 1 = P (Z < 2 = 0.9773 Enter your answer in the answer box and then click Check Answer. %3D All parts showing Clear All Final Check P Type here to search hp
The arm span of a team of athletes was measured and listed in the attached image (Problem-Image2.jpg). a) Calculate the mean arm span, ?̄. b) Complete the table and calculate (to two decimal places of accuracy, the standard deviationof the data.). Check the equation in the attached image (Problem-Image3.jpg)
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 99, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 99. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value -1 -1.5 0 +). Click and drag the arrows to adjust the values. 1 2 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. Edit Insert Formats B I U x₂ x² A => EM e & N 18 (f) The middle 50% of IQs fall between what two values? (g) Sketch the graph and write the probability statement. Edit Insert Formats BIUX₂ X² A E = = E EC P R N • Σ+ Σ Α Σ+ Σ Α
IQ tests supposedly measure our intelligence. They typically are ‘normed’ so that they have a mean of 100 and a standard deviation of 15. (Higher scores show higher intelligence.) Use the graph and use the z-score and percents from columns b and c in Table A, when relevant. If you scored 132, what is your z-score? (Interpret.) Use table A X, z(a), (b), and (c) X z (a) (b) (c) and use the graph! Write down or save your response to use in Part 2 of this quiz. Group of answer choices -2.53 z. I'm at the 98.34 percentile rank and 1.66% of people scored smarter than me. 2.13 z. I'm at the 98.34 percentile rank and 1.66% of people scored smarter than me. -2.13 z. I'm at the 1.66 percentile rank and 98.34% of people scored smarter than me. 2.53 z. I'm at the 0.57 percentile rank and 99.43% of people scored smarter than me. 2.13 z. I'm at the 1.66 percentile rank and 98.34% of people scored smarter than me. 2.53 z. I'm at the 99.43 percentile rank…
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. The indicated IQ score is (Round to the nearest whole number as needed.) X 0.1753

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