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What is the real average salary of employees in the company?

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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The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the level of significance of 0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: 0 0 (b) (c) (d) h ! 1 0 Determine which type of test statistic to use. (Choose an option) Find the value of the test…
A manufacturer of calculator batrries claims that the mean length of life for its battry is 500 operating hours. Suppose the standard deviation of the length of life is known to be 25 operating hours,and the distribution of life length is symmetric and mound-shaped. Approxiamately what percentage of the manufacturer'sbattries will last less than 525 hours?
An advertising agency that serves a job radio station wants to estimate the mean amount of time that the station's audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 90% confident of being correct to within +/-5 minutes?
The scores in a test conducted to 500 students are normally distributed with a mean of 110 and a standard deviation of 6. How may students get a score below 102?
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Data from the National Association of Realtors indicates that mean price of a home in Denver,Colorado, in the first three months of 2018 was $255,300. We can write this as 255.3 with unitsof thousands of dollars for our calculations. A random sample of 60 homes sold in 2020 had amean price of 235 (thousand dollars). Assume the standard deviation s = 140 (thousand dollars).Can we conclude that the mean price in 2020 differs from the mean price in the first 3 months of2018? Use the α = 0.05 level of significance.Parameter_____________________________________________________________________Null hypothesis ____________________________________Alternative hypothesis ________________________________________This test is: One-sided Two-sidedTest statisticp-valueCircle a decision: Reject H0 Do not reject H0Conclusion: At the 0.05 level of significance, we ___________________ have sufficient evidenceto say that________________________
Greg is in his first semester at a university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score. Among all the students in the course, the mean of the exam was 85 with a standard deviation of 15.Find that grag has obtain less then 95.
An advertising agency that serves a major radio station wants to estimate the mean amount of time that the station’s audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 99% confident of being correct to within ±5 minutes?
Among 157 Cuban American men ,the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if based on these data, we may conclude that the mean systolic blood pressure for a population of Cuban American is greater than 140. Use α=0.01 (solve without excel) , show work
Let's say that the mean score on this exam turns out to be 73 with a standard deviation of 12 and is normally distributed. If I gave a B to everyone who had an 80 or above, what percent of the class would get B's (or better)?
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant around 2.1 years. A survey of 40 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Does the data support the claim at the 5% level? (Give the p-value, your decision, the reason for your decision and your conclusion)
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