Among the most exciting aspects of a university professor's life are the departmental meetings where such critical issues as the color the walls will be painted and who gets a new desk are decided. A sample of 20 professors was asked how many hours per year are devoted to such meetings. The responses are listed below. Assuming that the variable is normally distributed with a standard deviation of 7 hours, estimate the mean number of hours spent at departmental meetings by all professors. Use a confidence level of 96%.8, 10, 16, 2, 19, 4, 18, 13, 16, 15, 10, 8, 5, 11, 18, 2, 12, 21, 8, 16**Note:** For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. You should use technology to help you with this problem (Minitab :) ). Give your answers to at least 2 decimal places.Confidence Interval = [input box]

Suppose that µ is the population mean number of hours spent at department meetings by all…

Answered: Among the most exciting aspects of a…

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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A study reported on essential organic molecules and a Normal model can be used to describe these levels in adults. If the mean is 194 mg/dL and a standard deviation is 28, complete the following questions. a) Draw and label the Normal model. b) What percent of adults do you expect to have this essential organic molecule, cholesterol, levels over 210 mg/dL? c) What percent of adults do you expect to have cholesterol levels between 150 and 170 mg/dL? d) Estimate the interquartile range of cholesterol levels. IQR=___________mg/dL e) Above what value are the highest 15% of adults' cholesterol levels? ___________mg/dL
In your work as a biomedical engineer, you need to better understand the distribution of adults' blood pressures. Specifically, you are interested in systolic blood pressure, which is a measure of pressure within arteries when a heart beats; this is the first number in a blood pressure reading. In healthy adults, systolic blood pressure has a normal distribution with a mean of 112 mm Hg and standard deviation of 10 mmHg. Before you collect sample data, you want to predict the range in which you expect almost all of the data to fall. Which of the following represents the interval that will likely contain almost all (~99.7%) of the sample measurements of healthy adult systolic blood pressure? A) (102 mm Hg, 122 mm Hg) B) (92 mm Hg, 132 mm Hg) C) (82 mm Hg, 142 mm Hg) D) (72 mm Hg, 152 mm Hg)
Choose the correct option and explain.
We are trying whether, a new low fat diet actually helps obese people lose weight. 100 randomly obese people are assigned to group 1 and put on a low fat-diet. another 100 people are assigned to group 2 and put on a diet of approximately the same amount of food, but not as low in fat. After 4 months, the mean net weight loss was 9.31 pounds for group 1 with a standard deviation of 4.67 pounds, and for group 2 the mean net weight loss was 7.40 pounds with a standard deviation of 4.04 pounds. Is the low-fat diet more effective? Perform a hypothesis test at the 5% significance level a) Define Parameters and state null and alternative hypothesis b) Find test statistics c) Find p-value d) Conclusion
You may need to use the appropriate technology to answer this question. Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A was s₁ = $583 million. The standard deviation of the amount managed by advisers from Company B was s₂ = $484 million. Conduct a hypothesis test at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. 2 2 H₂:0 2 Find the value of the test statistic. (Round your answer…
The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume that the standard deviation is unknown. If 19% of the Miami hotel room rates are more than $300 per night, what is the variance?
what measure of variability is to be computed with a median
You would like to estimate the variance of sick days at a Fortune 500 company. You randomly select 15 employees and record how many sick days they have used in the past year and you get a sample standard deviation of 1.2. Provide a 95% confidence interval estimate of the population variance.
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
A public health survey was carried out to estimate the total number of alcohol bottles consumed by the population of adults in a week at Kiwanja neighbourhood. The mean was found to be 16 bottles with a standard deviation of 4 bottles. The health authorities’ guidelines advise that it is healthy for people to consume fewer than 12 bottles a week. What proportion of the population did so? It is desirable to consume between 12 and 18 bottles of alcohol a week. What proportion of people was within this range? It is known that it is dangerous to consume more than 25 bottles a week. How many adults out of a sample of 200 over consumed alcohol?
The college board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen. Find the 98th percentile of the sample mean.
In a survey, each participant indicated how much they agreed with the statement, "Hard work is the way to get what you want in life." Which of the following would you expect to have zero correlation, or close to zero correlation, with the response to the above statement? A) Agreement with the statement, "Happiness mostly depends on luck." B) Conscientiousness score on a personality inventory test. C) High school GPA. D) A random number between 0 and 10, chosen by the participant.

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