Question 3The CEO of a largeFinancial institution claims that,was foundtheir clients invest more than R150 000 per year in aTo test this claim at the 10%. Significance level, if itthat a sample of 16 clients invested an average of R145 000 inthe portfolio over the last year, with a standard deviation ofR135000. Determine the critical value of the test statistic.a) 1.96b) 2.508c) 1.645d) 1.341e) 1.321on average,portfolio.

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Answered: Question 3 The CEO of a large financial…

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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Gestation Periods of Humans. For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days. Suppose that you observe the gestation periods for a sample of nine humans. a. Theoretically, what are the mean and standard deviation of all possible sample means? b. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each. c. Determine the mean of each of the 2000 samples you obtained in part (b). d. Roughly what would you expect the mean and standard deviation of the 2000 sample means you obtained in part (c) to be? Explain your answers. e. Determine the mean and standard deviation of the 2000 sample means you obtained in part (c). f. Compare your answers in parts (d) and (e). Why are they different?
Suppose a simple random sample of size 45 is drawn from a population with mean 72 and standard deviation 7.4. Answer the following: What sample mean values separate the middle 90% of the data from the other 10%? Round answers to 2 decimal places. Lower Value: Upper Value:
Consider the time it takes, in minutes, for police officers to respond to a 911 call, where a life-threatening crime (an armed robbery, an assault, a shooting) is in progress. For a particular police jurisdiction, the average response time is 20 minutes with a standard deviation of 3 minutes. Assuming the data is symmetric and using the Empirical rule, what %% of the response times fall between 17 to 23 minutes.
A firm specializing in the preparation of income tax returns, claims the mean refund for customers who received refunds last year was R150. For a random sample of 12 customers who received refunds last year, the mean amount was found to be R125, with a standard deviation of R43. The test statistic (rounded off to two decimals) is: O A. Z=-2.01 O B. T=2.20 O C. T=-2.01 O D. T<-2.20
3. Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.23 and standard deviation of 0.11. Find the percentage of preterm infants who have the following arterial cord pH levels. a. pH levels between 7.00 and7.50. b. pH levels over 7.31.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.09°F and a standard deviation of 0.44°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or between 97.65°F and 98.53°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.21°F and 98.97°F? a. Approximately % of healthy adults in this group have body temperatures within 1 standard deviation of the mean, or between 97.65°F and 98.53°F. (Type an integer or a decimal. Do not round.)
Suppose that you are interested in estimating the average number of miles per gallon of gasoline your car can get. You calculate the miles per gallon for each of the next sixteen times you fill the tank. Suppose that in truth, the values for your car are bell-shaped, with a mean of 24 miles per gallon and a standard deviation of 1. Find the possible sample means you are likely to get based on your sample of sixteen observations. Consider the intervals into which 68%, 95%, and almost all of the potential sample means will fall, using the Empirical Rule. (Round all answers to the nearest thousandth.)About 68% of possible sample means will be in the range between_____ and_____.About 95% of possible sample means will be in the range between______ and______ .About 99.7% of possible sample means will be in the range between ____and_____ . You may need to use the appropriate table in the Appendix of Tables to answer this question.
From a sample with n = 32, the mean duration of a geyser's eruptions is 3.42 minutes and the standard deviation is 1.12 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.18 and 5.66 minutes. At least of the eruptions lasted between 1.18 and 5.66 minutes. (Simplify your answer.)
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.56°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or between 97.79°F and 98.91°F? b. What is the approximate percentage of healthy adults with body temperatures between 96.67°F and 100.03°F? a. Approximately % of healthy adults in this group have body temperatures within 1standard deviationof the mean, or between 97.79 and 98.91°F. (Type an integer or a decimal. Do not round.) egg.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.09 degrees°F and a standard deviation of 0.51 degrees°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.56 degrees°F and 99.62 degrees°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.07 degrees°F and 99.11 degrees°F? a. Approximately ________% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.56 degrees°F and 99.62 degrees°F. (Type an integer or a decimal. Do not round.)
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 35 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 28 and 42?Do not enter the percent symbol.ans = %

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