deadline.)you save your WOTRProblem #1: IQs are known to be normally distributed with mean 100 and standard deviation 15. In a random sample of 36people, find the probability that the average IQ is between 96 and 106.Problem #1:answer correct to 4 decimals

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Answered: Problem #1: IQs are known to be…

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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Problem #1: Glaucoma is a disease of the eye that is manifested by high intraocular pressure. The distribution of intraocular pressure in the general population is approximately normal with mean 16 mm Hg and standard deviation 3 mm Hg. In a random sample of 35 people, find the probability that the average intraocular pressure is between 15.1 and 16.6. Problem #1: answer correct to 4 decimals
Problem 26. Boxes of Instant Dinner have a marked weight of 12.2 oz. In reality, the weights of the boxes are normally distributed with a mean of 12.8 oz and a standard deviation of 0.3 oz. Use the 68-95-99.7 Rule to determine the percent of the boxes that contain more than 12.2 oz.
Problem #4: Suppose the weights of Gala apples are known to be normally distributed with mean 166g and standard deviation of 1.9g. Bags of apples contain 11 apples. What is the probability the total weight of the bag of apples is greater than 1835g? Problem #4: answer correct to 4 decimals
Question 2: If X is normally distributed with mean 32 and standard deviation 4. Find the probability that xis at least 36?
Question 15 The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-score corresponding to 28 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 28. (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 Click and drag the arrows to adjust the values. -1 3 4. -1.6 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement. BIUX, x' E ,=, 蛋 @ 深园 Edit - Insert- Formats - A - ΣΣ Question Help: D Post to forum I Calculator Submit Question
Question 2 (a) A HR manager would like to survey the salary of the junior accountant in Malaysia to analyse the market trend. He found that it is normally distributed with a population mean of RM 2900 and a population standard deviation of RM 250. One day, he selects a random sample of the salaries of 30 junior accountants. (i) What is the probability that the sample mean salary will be between RM 2800 and RM 3000? What is the probability that the sample mean salary will be below RM 2850? (ii) (iii) The probability is 99% that the sample mean salary of the junior accountant will be between which two values (symmetrically distributed around the mean)? (iv) Do you think he will be likely to get the sample mean salary more than RM 3200? Justify your answer with probability.
QUESTION 25 Suppose the age of cars on the road is normally distributed with a mean of 9.4 years. If the standard deviation is known to be 2.2 years, what is the probability that 16 randomly selected cars have been on the road between 7 and 8 years? Round your answer to four decimal places.
Question 13. (DEATH IS A SURE AND UNCERTAIN EVENT) A doctor noted the Systolic Blood Pressure (SBP) of a random sample of 10 patients admitted to his hospital. He found that the average SBP of the 10 patients was 125 mm of Hg with a standard deviation of 80 mm of Hg. Later, two patients died, due to very high SBP values of 250 and 260 mm of Hg. Now he wonders: AMBULANCE Doctor Two dead patie What is the standard deviation of the SBP of the remaining 8 patients?
Question 5 A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 27 weeks. Assume that the length of unemployment is normally distributed with population mean of 27 weeks and the population standard deviation of 5 weeks. Suppose you would like to select a random sample of 8 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. What is the probability that one randomly selected individual found the next job is more than 30 weeks? ____ For 8 unemployed individuals, find the probability that the average time that they found the next job is more than 30 weeks. _____
Problem 3: The mean yearly mileage of the vehicles in a delivery company's fleet is 51,400 miles, with a standard deviation of 4,800 miles. You take a random sample of 30 vehicles and another of 45 vehicles. What is the probability that the difference between the mean mileage of the two samples will be a) less than 2,000 miles? b) More than 500?
Problem 2 During this time of the pandemic, suppose the mean cost across the country of a 30-day supply of a generic drug is Php 46.58 , with standard deviation Php 4.84. Find the probability that the mean of a sample of 100 prices of 30-day supplies of this drug will be betwee Php 45 and Php 50. Is the pricing fair enough for a 30-day supply despite the pandemic? Why?
PROBLEM 1: According to the Commission on Higher Education, College professors work for an average of 43 hours per week during a semester. A dean of Universify X surveys 25 randomly selected professors and found out that they work for an average of 45 hours a week with a standard deviation of 7 hours. Test if the mean number of professors' work hours worked recorded by the dean of University X differs from the recorded national average. Use a = 0.01 Formulate the hypothesis 1. Ho: 2. HA: 3. Given: 5. Solve for t: S = n = a = 4. Test statistics: 7. d. f. = 8. Solve the critical value (te) 6. t = 10. 9. Te

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Problem #1: IQs are known to be normally distributed with mean 100 and standard deviation 15. In a random sample of 36 people, find the probability that the average IQ is between 96 and 106. Problem #1: answer correct to 4 decimals