2.) Lantmännen Cerealia, Stockholm, hasasked you to study the variability of the weightsof cereal bags produced in plant 2, located inNorway. The package weights are known to benormally distributed. Using a random sampleof n = 125, you find that the sample meanweight is 40.9 and the sample variance is 65.The marketing vice president claims that thereis a very small probability that the populationmean weight is less than 40. Use an appropriatestatistical analysis and comment on her claim.

From the provided information, Sample size (n) = 125 Sample mean (x̄) = 40.9 Sample variance (s2) =…

Answered: 2.) Lantmännen Cerealia, Stockholm, has…

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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8. An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. A Brother brand printer can print an average of 17.21 ppm and a standard deviation of 4 pages and its printer speed is also normally distributed. You select 10 of each printer at random. What is the probability that mean Brother print speed is at least 2 pages faster than the mean HP print speed?
The nation of Olecarl, located in the South Pacific, has asked you to analyze international trade patterns. You first discover that each year it exports 10 units and im- ports 10 units of wonderful stuff. The price of exports is a random variable with a mean of 100 and a vari- ance of 100. The price of imports is a random variable with a mean of 90 and a variance of 400. In addition, you discover that the prices of imports and exports have a correlation of r = -0.40. The prices of both ex- ports and imports follow a normal probability density function. Define the balance of trade as the difference between the total revenue from exports and the total cost of imports. What are the mean and variance of the balance of trade? What is the probability that the balance oft trade is negative?
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
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In the Izmir University of Economics, a professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 30 non-accounting majors and 30 accounting majors are taken from a final exam held on 2019. Test at the 5% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. s = 1584.272 ny = 30 s = 400.495 Non-Accounting n = 30 Accounting To test the professor's claim, identify the null and alternative hypotheses. The null hypothesis is represented by H, and the alternative hypothesis is represented by H,. Choose the correct answer below. O A. Ho: o 2 O B. Ho: o = OD. Ho: o =0 H,: o
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