/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 16. Random digits Which of the follo... [FREE SOLUTION] | 91影视

91影视

Random digits Which of the following statements are true of a table of random digits, and which are false? Briefly explain your answers.

(a) There are exactly four 0s in each row of 40 digits.

(b) Each pair of digits has a chance 1/100 of being 00

(c) The digits 0000 can never appear as a group

because this pattern is not random.

Short Answer

Expert verified

Part (a) we would be able to tell if the 40 number was a 0 after looking at 39 digits, making it a predictable rather than random digit.

Part (b) the probability of each pair of digits is 1/100

Part (c) 0000 can appear as a group just as easily as any other string of four numbers.

Step by step solution

01

Part (a) Step 1: Given information

To choose random samples, we must explain why we should not always start at the same point in Table D.

02

Part (a) Step 2: Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Part (a) Step 3: Explanation

Each row of 40numbers has exactly four 0sEach row of 40numbers has exactly four 0sThis assertion is false because if it were true, we would know if the 40number was a0 after looking at 39digits, and it would become a predictable rather than random digit.

04

Part (b) Step 1: Explanation

Each digit pair has a 1/10 chance of being 00

Each digit pair has a 1/10 chance of being 00 Because there are 100 pairings of digits from 00 to 99 all of them are equally likely, this assertion is "True." As a result, each pair of digits has a 1/100 chance of appearing.

05

Part (c) Step 1: Explanation

Because this pattern is not random, the numbers 0000 will never appear as a group. This statement is false because 0000 can appear as a group just as easily as any other string of four numbers.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Sleep debt (3.2)A researcher reported that the average teenager needs 9.3 hours of sleep per night but gets only 6.3hours.17By the end of a 5-day school week, a teenager would accumulate about 15 hours of 鈥渟leep debt.鈥 Students in a high school statistics class were skeptical, so they gathered data on the amount of sleep debt (in hours) accumulated over time (in days) by a random sample of 25high school students. The resulting least-squares regression equation for their data is Sleepdebt=2.23+3.17(days). Do the students have reason to be skeptical of the research study鈥檚 reported results? Explain.

Wording bias Comment on each of the following as a potential sample survey question. Is the question clear? Is it slanted toward the desired response?

(a) 鈥淪ome cell phone users have developed brain cancer. Should all cell phones come with a warning label explaining the danger of using cell phones?鈥

(b) 鈥淒o you agree that a national system of health insurance should be favored because it would provide health insurance for everyone and would reduce

administrative costs?鈥

(c) 鈥淚n view of escalating environmental degradation and incipient resource depletion, would you favor economic incentives for recycling of resource-intensive consumer goods?鈥

Does reducing screen brightness increase battery life in laptop computers? To find out, researchers obtained 30new laptops of the same brand. They chose 15of the computers at random and adjusted their screens to the brightest setting. The other 15laptop screens were left at the default setting鈥攎oderate brightness. Researchers then measured how long each machine鈥檚 battery lasted.

Was this an observational study or an experiment? Justify your answer.

Learning biology with computers An educator wants to compare the effectiveness of computer software for teaching biology with that of a textbook presentation. She gives a biology pretest to each group of high school juniors, then randomly divides them into two groups. One group uses the computer, and the other studies the text. At the end of the year, she tests all the students again and compares the increase in biology test scores in the two groups.

(a) Is this an observational study or an experiment? Justify your answer.

(b) If the group using the computer has a much higher average increase in test scores than the group using the textbook, what conclusions if any, could the educator draw?

In an interesting experiment, researchers examined the effect of ultrasound on birth weight. Pregnant women participating in the study were randomly assigned to one of two groups. The first group of women received an ultrasound; the second group did not. When the subjects鈥 babies were born, their birth weights were recorded. The women who received the ultrasounds had heavier babies.

Did the experimental design take the placebo effect into account? Why is this important?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.