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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 7.3 - Problem 10e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 7.3 - Problem 10e

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# Three engineers are independently estimating the spring

ISBN: 9780073401331 38

## Solution for problem 10E Chapter 7.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 10E

Three engineers are independently estimating the spring constant of a spring, using the linear model specified by Hooke’s law. Engineer A measures the length of the spring under loads of 0, 1, 3, 4, and 6 lb, for a total of five measurements. Engineer B uses the same loads, but repeats the experiment twice, for a total of 10 independent measurements. Engineer C uses loads of 0, 2, 6, 8, and 12 lb, measuring once for each load. The engineers all use the same measurement apparatus and procedure. Each engineer computes a 95% confidence interval for the spring constant.

a. If the width of the interval of engineer A is divided by the width of the interval of engineer B, the quotient will be approximately__________ .

b. If the width of the interval of engineer A is divided by the width of the interval of engineer C, the quotient will be approximately__________ .

c. Each engineer computes a 95% confidence interval for the length of the spring under a load of 2.5 lb. Which interval is most likely to be the shortest? Which interval is most likely to be the longest?

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Psychology 309 – 4/24/2016 Discrimination **If you can distinguish between situation A and situation B, you know what each situation serves and what to do in each scenario. Knowing “which” – choosing this instead of that Knowing “when” – to act at a proper time Knowing “whether” – to act differentially depending upon the probability of an event ^ These all intermingle; you don’t have to associate a situation with only one. ­ For example, say you’re trying to decide whether or not to speed, but you end up deciding not to because you know there are usually cop cars in the area. This could be knowing which (knowing not to speed instead of speeding), knowing when (waiting to speed later, when you’re not surrounded by cops), and knowing whether (that it’s best to not speed since it’s likely that, if you would, you’d probably get a speed ticket). Knowing “how” – to act effectively; verbal behavior not necessary; tacit knowledge ­ Swimming; riding a bike; jump­roping Knowing “that” – to know that you have done something; your behavior must be under stimulus control of some other aspect of your behavior ­ “I know that I can ride a bike.” ­ Animals are not capable of knowing “that.” A rat can learn how to press a lever, but it will never know that it pressed the lever in order to get food.  Three terms of the contingencies that establish “knowing that”: ­ Anteceden

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