### Understanding Normal Distribution and Z-ScoresGiven a normal distribution with a mean (μ) of 48 and a standard deviation (σ) of 4, find the raw score (x) that corresponds to the given z-scores. Round all answers to two decimal places.---**Question a:**Find the raw score corresponding to z = -0.75._Answer box for input_---**Question b:**Find the raw score corresponding to z = 3._Answer box for input_---### ExplanationTo find the raw score (x) corresponding to a given z-score, use the formula:\[ x = \mu + z \cdot \sigma \]Where:- \( \mu \) is the mean- \( \sigma \) is the standard deviation- \( z \) is the z-scoreUse this formula to solve the problems in the given questions.

Answered: Image /qna-images/answer/68527603-72a2-45bb-8206-8151e4c1b9fa.jpg

Answered: Given a normal distribution with a u 48…

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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In the US, 43.9% of all people have type O blood, 40.6% have type A blood, 10.8% have type B blood and 4.7% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3488 millionaires. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1521 A 1427 В 376 АВ 164
Let the height data (105)represent sample. Use an appropriate statistical test to check whether the population mean is different from 170 cm.Use α = 0.05.Also, write a substantive conclusion and explanation. Use an appropriate graph to check if data is normally distributed. Do it in R commander.
4. Find each value requested for the distribution of scores in the following table. а. п b. ΣΧ C. Σχ f 1 4 2 3 3 2 5 1 3 UNG
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Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P, the 11th percentile. This is the bone density score separating the bottom 11% from the top 89%. Which graph represents P ? Choose the correct graph below. O A. O B. OD. P11 P11 P11 P11 The bone density score corresponding to P1 is (Round to two decimal places as needed.) Click to select your answer(s). APR tv MacBook Air F9 F10 LLA 20 F3 F6 F8 F4 F5 F1 F2 & #3 7 8. %24
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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 270 men and 278 women. Percentage of 18- to 24-year olds living in parents' homes 70, 60.4% 45% 54.6% 50.3% 2000 2012 Men Women Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: P, * P2 Ha: P1 = P2 OD. Ho: P1 > P2 YA. Ho: P1 = P2 H3: P, * P2 OC. Ho: P, P2 Ha: P, SP2 Find the critical value(s). The critical value(s) is(are). (Round to two decimal places as needed. Use a comma to separate answers as needed.)
In each part, find the area under the standard normal curve that lies between the specified z-score, sketch a standard normal curve, and shade the area of interest. b. -2 and 2 c. - 3 and 3 a. - 1 and 1 a. Find the area under the standard normal curve that lies between - 1 and 1, sketch a standard normal curve, and shade the area of interest. The area under the standard normal curve that lies between - 1 and 1 is (Type an integer or decimal rounded to four decimal places as needed.)
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Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P34, the 84th percentile. This is the temperature reading separating the bottom 84% from the top 16%. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents P ? Choose the correct graph below. 84 A. В. OC. D. Ay X The temperature for P84 is approximately (Round to two decimal places as needed.)

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Given a normal distribution with a u 48 and o 4 find the z-score that corresponds to each x value below. Round all answers to two decimal places. a.) Find the raw score corresponding to z = b.) Find the raw score corresponding to z = 3. 0.75.