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Chapter 9: Q.94 (page 550)

"Untitled," by Stephen Chen

I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with

known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually

use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an

error occur, the likelihood of generating an error is 1%.

So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test program X creates,

but more often. To find out if my test program is better than the original, so that I can convince the management that I'm

right, I ran my test program to find out how often I can generate the same error. When I ran my test program 50 times, I

generated the error twice. While this may not seem much better, I think that I can convince the management to use my test

program instead of the original test program. Am I right?

Short Answer

Expert verified

Part a: acceptance sampling

Part b: inspection of sample

Part c: random sample

Part d: probability of non defective samples

Part e: Probability of defective samples

Step by step solution

01

Given information (Part a)

Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots.

02

Given information (Part b)

Inspection of a sample of nn components can be viewed as the nn trials of a binomial experiment. The outcome for each component tested (trial) will be that the component is classified as good or defective.

03

Given information (Part c)

Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 1%. Suppose a random sample of five items from a recent shipment is tested.

04

Given information (Part d)

Assume that 1%% of the shipment is defective. Compute the probability that no items in the sample are defective. Assume that 1%% of the shipment is defective. Compute the probability that exactly one item in the sample is defective.

05

Given information (Part e)

the probability of observing one or more defective items in the sample if 1%% of the shipment is defective that would feel comfortable accepting the shipment if one item was found to be defective

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Most popular questions from this chapter

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a

standard deviation of 20垄. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs

yield a mean cost of 95垄 with a standard deviation of 18垄. Do the data support the claim at the 1% level?

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5a percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?

localid="1650439913140" a.H0__________

b.Ha __________

A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________.

a. at least 20%, when in fact, it is less than 20%.

b. 20%, when in fact, it is 20%.

c. less than20%, when in fact, it is at least 20%.

d. less than 20%, when in fact, it is less than 20%.

The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 56 online students and finds that the sample mean is 29.4 with a standard deviation of 2.1. Conduct a hypothesis test.

"William Shakespeare: The Tragedy of Hamlet, Prince of Denmark," by Jacqueline Ghodsi THE CHARACTERS (in order of appearance):

鈥� HAMLET, Prince of Denmark and student of Statistics

鈥� POLONIUS, Hamlet鈥檚 tutor

鈥� HOROTIO, friend to Hamlet and fellow student

Scene: The great library of the castle, in which Hamlet does his lessons

Act I

(The day is fair, but the face of Hamlet is clouded. He paces the large room. His tutor, Polonius, is reprimanding Hamlet regarding the latter鈥檚 recent experience. Horatio is seated at the large table at right stage.)

POLONIUS: My Lord, how cans鈥檛 thou admit that thou hast seen a ghost! It is but a figment of your imagination!

HAMLET: I beg to differ; I know of a certainty that five-and-seventy in one hundred of us, condemned to the whips and scorns of time as we are, have gazed upon a spirit of health, or goblin damn鈥檇, be their intents wicked or charitable.

POLONIUS If thou doest insist upon thy wretched vision then let me invest your time; be true to thy work and speak to me through the reason of the null and alternate hypotheses. (He turns to Horatio.) Did not Hamlet himself say, 鈥淲hat piece of work is man, how noble in reason, how infinite in faculties? Then let not this foolishness persist. Go, Horatio, make a survey of three-and-sixty and discover what the true proportion be. For my part, I will never succumb to this fantasy, but deem man to be devoid of all reason should thy proposal of at least five-and-seventy in one hundred hold true.

HORATIO (to Hamlet): What should we do, my Lord?

HAMLET: Go to thy purpose, Horatio.

HORATIO: To what end, my Lord?

HAMLET: That you must teach me. But let me conjure you by the rights of our fellowship, by the consonance of our youth, but the obligation of our ever-preserved love, be even and direct with me, whether I am right or no.

(Horatio exits, followed by Polonius, leaving Hamlet to ponder alone.)

Act II

(The next day, Hamlet awaits anxiously the presence of his friend, Horatio. Polonius enters and places some books upon the table just a moment before Horatio enters.)

POLONIUS: So, Horatio, what is it thou didst reveal through thy deliberations?

HORATIO: In a random survey, for which purpose thou thyself sent me forth, I did discover that one-and-forty believe fervently that the spirits of the dead walk with us. Before my God, I might not this believe, without the sensible and true avouch of mine own eyes.

POLONIUS: Give thine own thoughts no tongue, Horatio. (Polonius turns to Hamlet.) But look to鈥檛 I charge you, my Lord. Come Horatio, let us go together, for this is not our test. (Horatio and Polonius leave together.)

HAMLET: To reject, or not reject, that is the question: whether 鈥榯is nobler in the mind to suffer the slings and arrows of outrageous statistics, or to take arms against a sea of data, and, by opposing, end them. (Hamlet resignedly attends to his task.)

(Curtain falls)
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