Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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Chapter 19, Problem 50P
To determine

Calculate the mean, and standard deviation for the collected data. Determine the probability that a student will have a waist size is between 30 in. to 36 in., and also determine the probability that a student will have waist size less than 34 in.

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The next time you make a trip to a supermarket, ask the manager if you can measure the mass of at least 10 cereal boxes of your choice. Choose the same brand and the same size boxes. Tell the manager this is an assignment for a class. Report the average mass, variance, and standard deviation for the cereal boxes. Does the manufacturer’s information noted on the box fall within your measurement? Repeat Problem using three other products, such as cans of soup, tuna, or peanuts.
8.4 Consider a population consisting of the following five values, which represent the number of DVD rentals during the academic year for each of five housemates: 8 14 16 10 11 a. Compute the mean of this population. b. Select a random sample of size 2 by writing the five numbers in this population on slips of paper, mixing them, and then selecting two. Compute the mean for your sample. c. Repeatedly select random samples of size 2, and compute the x value for each sample until you have the x values for 25 samples. d. Construct a density histogram using the 25 x values. Are most of the x values near the population mean? Do the x values differ a lot from sample to sample, or do they tend to be similar? (Hint: See Example 8.1.)
Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87 16.02 15.78 15.83 15.69 15.81 16.04 15.81 15.92 16.10 On the basis of these data, can you conclude that the mean fill weight is actually less than 16 oz? State the appropriate null and alternate hypotheses. Compute the value of the test statistic. Find the P-value and state your conclusion.
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