/*! 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 100. Well rested? A random sample of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q 100. (page 76)

Well rested? A random sample of 6 students in a first-period statistics class was asked how much sleep (to the nearest hour) they got last night. Their responses were 6, 7, 7, 8, 10, and 10. Calculate the standard deviation. Interpret this value.

Short Answer

Expert verified

The standard deviation is 1.6733 hours.

Step by step solution

01

Step 1. Given information.

The given responses are:

6, 7, 7, 8, 10, and 10

02

Step 2. Find the mean.

x炉=鈭�i=1nxin=6+7+7+8+10+106=486=8

03

Step 3. Find the standard deviation.

s2=鈭�(x-x炉)2n-1=6-82+7-82+7-82+8-82+10-82+10-86-1=4+1+1+0+4+45=145=2.8

The standard deviation is:

s=s2=2.8鈮�1.6733

The standard deviation is roughly 1.6733 hours since the units of the standard deviation are the same as the units of the data values.

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

U.S. women鈥檚 soccer鈥�2016 Earlier, we examined data on the number of goals scored by the 2016 U.S. women鈥檚 soccer team in 20 games played. The following dotplot displays the goal differential for those same games, computed as U.S. goals scored minus opponent goals scored.

Part (a). Explain what the dot above 3 represents.

Part (b). What does the graph tell us about how well the team did in 2016? Be specific.

Watch that caffeine! The U.S. Food and Drug Adminis tration (USFDA) limits the amount of caffeine in a 12-ounce can of carbonated beverage to 72 milligrams. That translates to a maximum of 48 milligrams of caffeine per 8-ounce serving. Data on the caffeine content of popular soft drinks (in milligrams per 8-ounce serving) are displayed in the stemplot.

Part (a). Why did we split stems?

Part (b). Give an appropriate key for this graph.

Part (c). Describe the shape of the distribution. Are there any outliers?

DRP test scores There are many ways to measure the reading ability of children. One frequently used test is the Degree of Reading Power (DRP). In a research study on third grade students, the DRP was administered to 44 students. Their scores were as follows.

Make a histogram to display the data. Write a few sentences describing the distribution of DRP scores.

Disc dogs Here is a list of the breeds of dogs that won the World Canine Disc Championships from 1975 through 2016. Make a relative frequency bar graph for these data. Describe what you see.

Which major? About 3 million first-year students enroll in colleges and universities each year. What do they plan to study? The pie chart displays data on the percent of first-year students who plan to major in several disciplines. About what percent of first-year students plan to major in business? In social science?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation
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.