2) To compare two kinds of bumper guards, ten of each kind were mounted on a certain make midsize car. Then each car was run into a concrete wall at 5 miles per hour, and following are the costs of the repairs (in dollars) assumed normally distributed: Bumper guard A: 545 495 506 447 530 510 487 539 559 531 Bumper guard B: 536 514 475 513 558 546 517 473 562 529 a) Test whether the mean cost with bumper guard A is lower than $500 at .05 level. b) Test whether the mean cost with bumper guard B is higher than $500 at .05 level. c) Obtain 95% confidence interval for the difference between the mean costs with bumper guard A and B. d) Use the 0.05 level of significance to test whether the difference between the corrosponding sample means is significant.

2) To compare two kinds of bumper guards, ten of each kind were mounted on a certain make midsize car. Then each car was run into a concrete wall at 5 miles per hour, and following are the costs of the repairs (in dollars) assumed normally distributed: Bumper guard A: 545 495 506 447 530 510 487 539 559 531 Bumper guard B: 536 514 475 513 558 546 517 473 562 529 a) Test whether the mean cost with bumper guard A is lower than $500 at .05 level. b) Test whether the mean cost with bumper guard B is higher than $500 at .05 level. c) Obtain 95% confidence interval for the difference between the mean costs with bumper guard A and B. d) Use the 0.05 level of significance to test whether the difference between the corrosponding sample means is significant.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

2) To compare two kinds of bumper guards, ten of each kind were mounted on a certain make
midsize car. Then each car was run into a concrete wall at 5 miles per hour, and following are
the costs of the repairs (in dollars) assumed normally distributed:
Bumper guard A: 545
495
506
447
530
510
487
539
559
531
Bumper guard B: 536
475
513
558
546
514
517
473
562
529
a) Test whether the mean cost with bumper guard A is lower than $500 at .05 level.
b) Test whether the mean cost with bumper guard B is higher than $500 at .05 level.
c) Obtain 95% confidence interval for the difference between the mean costs with bumper
guard A and B.
d) Use the 0.05 level of significance to test whether the difference between the corrosponding
sample means is significant.

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