Part 2. Mean4. The hourly wages in a particular industry are normally distributed with mean $13.20 and standarddeviation $2.50. A company in this industry employs 40 workers, paying them an average of $12.20per hour. Can this company be accused of paying substandard wages? Use an a = .01 level test. SEP:5. A vice president in charge of sales for a large corporation claims that salespeople are averaging nomore than 15 sales contacts per week. (He would like to increase this figure.) As a check on his claim,n = 36 salespeople are selected at random, and the number of contacts made by each is recorded fora single randomly selected week. The mean and variance of the 36 measurements were 17 and 9,respectively. Does the evidence contradict the vice president's claim? Use a test with level a = 05.High-6. Listed below are brain volumes (in centimeters cubed) of unrelated subjects used in a study. Use a0.05 significance level to test the claim that the population of brain volumes has a mean equal to1100.8 centimeters cubed.963102712711078107011741066134810991204

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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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9. Considering the demands of last 6 month listed above and following forecasted data, calculate Mean Absolute Deviation and Mean Absolute Percentage Error. Can you comment on whether it was under forcated or over forecasted? Month 1: 260 Month 2: 230 Month 3: 280 Month 4: 350 Month 5: 410 Month 6: 500
1. Draw by hand or in Excel fully labelled curves on a common scale to represent two sets of scores where:a.Mean = 25, Standard Deviation = 4,Mean = 50, Standard Deviation = 4.b.Mean = 50, Standard Deviation = 2,Mean = 50, Standard Deviation = 5.
2. The mean of a statistics examination is 77.0. a. If your score is 85, would you prefer the standard deviation to be large or small for purposes of getting a better grade? Why? b. If your score is 69, would you prefer the standard deviation to be large or small? Why?
31. You Explain It! Cell Phone Rates Monthly charges for cell phone plans in the United States are normally distributed with mean u $62 and standard deviation o = $18. Source: Based on information from Consumer Reports
C.28. A car dealership records the number of cars sold each month and finds the mean =56 and the standard deviation =8.2. What does a standard deviation of 8.2 mean?
3. The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. a. What percent of passenger vehicles travel slower than 80 miles/hour? What percent of passenger vehicles travel between 60 and 80 miles/hour? B. How fast do the fastest 5% of passenger vehicles travel? C. The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.
3. ACT scores are roughly Normal with mean 20.8 and standard deviation 4.8, and SAT scores are roughly Normal with mean 1026 and standard deviation 209. Some students take both. For those students, the correlation between the two scores is 0.72. a. What's the equation of the straight line that you'd use to predict ACT scores based on SAT scores? b. I got a 1300 on the SAT, and I'm planning to take the ACT. Predict what I might get, c. What's the equation of the straight line that you'd use to predict SAT scores based on ACT scores? d. My friend got a 27 on the ACT, and she's planning to take the SAT. Predict what she might get. e. How come you're predicting both that I'll do worse than her on the ACT and that she will do worse than me on the SAT? 4. Draw a simple random nlc of size 15 from the labels 40os01, 402.
Q. 2. Suppose Country B's government now reports that its population mean disposable household income is $1,000 per month, with a standard deviation of $150. Country A's population mean is $1,100, with a standard deviation of $310. a. b. Which country has more variation in income? Explain using popular phrases, such as "gap between rich and poor." Each country defines the poverty level to be $755. If you assume that income has a normal distribution, find the probability that a household's income is below the poverty level in i. Country A ii. Country B Does it seem reasonable to assume a normal distribution? In general, is income symmetric or skewed?
1. Find the p-value. (Round to three or more decimal places.) 2. At the 0.01 level of significance, can the doctor conclude that the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure?
5. A. Draw a bell-shaped curve and label the axis with the 7 values including the mean of 500 in the center and the other 6 values of 1. 2, and 3 standard deviations away from the mean B. Approximately what percentage of data values fall below 500? C. Approximately what percentage of data values fall between 400 and 600 ? D. Approximately what percentage of data values fall between 300 and 700? E. Approximately what percentage of data values fall between 200 and 800? F. Approximately what percentage of data values fall above 600? G. Approximately what percentage of data values fall below 200? H. Approximately what percentage of data values fall between 400 and 700 ?
Solve the following. Show the complete solution. 1. The daily income of bank auditors in SSS Commercial Bank is normally distributed with a mean ₱675 and a standard deviation of ₱50. What is the z value for the income X of a bank auditor who earns ₱750 daily? For an auditor who earns ₱550 daily? 2. The length of time needed for service a motorcycle at ETS Service Station is normally distributed with a mean of 6.5 minutes and standard deviation of 1.5 minutes. What is the probability that a randomly selected motorcycle will require more than 7 minutes of service or under 5.5.minutes of service?

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