2. The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated fromcollege 2 years ago, and each is now earning $50,000 per year. Rachel works in theretail industry, where the mean salary for executives with less than 5 years' experienceis $35,000 withsalary for engineers with less than 5 years' experience is $60,000 with a standard deviationof $5,000. Compute the z values for both Rob and Rachel and comment on yourfindings.a standard deviation of $8,000. Rob is an engineer. The mean

Answered: Image /qna-images/answer/d36b267b-de72-488f-b14e-c72525a3a339.jpg

Answered: 2. The Kamp family has twins, Rob and…

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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Two students, Donald and Martin, want to find out who has the higher GPA when compared to each of their schools. Donald has a GPA of 3.85, and his school has a mean GPA of 3.25 and a standard deviation of 0.4. Martin has a GPA of 3.75, and his school has a mean of 3.1 and a standard deviation of 0.5. Who has the higher GPA when compared to each of their schools?
Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
If we collected data on how many pets each person in our class has, describe a situation that the standard deviation would be 0. Jo thinks that the only way for this to happen is for everyone to have no pets. Explain to Jo why the answer they have is correct, but not the only way.
Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 32 shifts that she had a mean of 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Jodi calculates from a random sample of 40 shifts that her mean was 4.2 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The SAT scores are normally distributed with a mean of 1100 and standard deviation of 250. The ACT scores are normally distributed with a mean of about 20 and standard deviation of 5. Who did better, relative to their peers?
A company that supplies LP gas for heating keeps data on the low temperature for each day of each month. It sum-marizes these data by finding the mean, median, standard deviation and interquartile range. The company assumesthat people use the LP gas for heat when the temperature is below 70°, so it creates a second set of data by subtract-ing 70 from each daily low temperature. Which of the four summary statistics will change for this second data set?A) mean and median onlyB) mean and standard deviation onlyC) median and IQR onlyD) standard deviation and IQR onlyE) mean, median, standard deviation, and IQR
Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. • Lucille's class had an average grade of 78 and the standard deviation was 7. Lucille earned 83.95 on the exam. • Rocio's class had an average grade of 82 and the standard deviation was 3. Rocio earned 86.5 on the exam. • Cristina's class had an average grade of 76 and the standard deviation was 4. Cristina earmed 82.8 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. • Rocio's score places her above % of her class. • Cristina's score places her above % of her class.
Justin and Robbie are golfers. The distribution of Justin's golf scores has a mean of 225 and a standard deviation of 25. Robbie's golf score distribution has a mean of 240 and a standard deviation of 15. Both distributions are approximately normal and they are completely independent of each other. What is the closest probability that Justin will have a higher golf score than Robbie in a randomly selected golf round?
Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of n₁ = 10 batches produced by company 1 is s₁ = 4.7 grams per liter, and for company 2, a random sample of n₂ = 16 batches yield s₂ = 5.8 grams per liter. Is there sufficient evidence to conclude that the two populations variances differ? Use a = 0.05. a. Because 0.321 < 0.657 <3.77, fail to reject the null hypothesis b. Because 0.265 < 0.657 <3.12, fail to reject the null hypothesis c. Because 0.386 < 0.657 <3.01, fail to reject the null hypothesis d. None among the choices
According to the New York Daily News, March 5, 2014, people 65 years and older watch an average of 50.5 hours of TV per week. We will estimate the standard deviation to be 12.7 hours per week. Your town has many social programs for senior citizens which may reduce the amount of TV that older people watch. You want to find out if it is true that people 65 and older in your town watch less than 50.5 hours of TV per week. So, you sample 40 people 65 and older in your town. You find that the average time that the 40 people watch per week is 45.8 hours. Can the claim be supported to a level of significance of α = .02, test the hypothesis?

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