/*! 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 T2.3. Rainwater was collected in water... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q T2.3. (page 149)

Rainwater was collected in water containers at 30different sites near an industrial complex, and the amount of acidity (pH level) was measured. The mean and standard deviation of the values are 4.60and 1.10,respectively. When the pH meter was recalibrated back at the laboratory, it was found to be in error. The error can be corrected by adding 0.1 pH unit to all of the values and then multiplying the result by 1.2What are the mean and standard deviation of the corrected pH measurements?

a.5.64,1.44b.5.64,1.32c.5.40,1.44d.5.40,1.32e.5.64,1.20

Short Answer

Expert verified

The correct option is (b)5.64,1.32

Step by step solution

01

Given information

渭x=4.60蟽x=1.10

02

Concept

Properties of mean and standard deviation

渭aX+b=a渭X+b蟽aX+b=a蟽X

03

Calculation

Adding 0.1 to every value and then multiplying this by 1.2

1.2(x+0.1)=1.2x+0.12渭1.2X+0.12=1.2(4.60)+0.12=5.64蟽1.2X+0.12=1.2(1.10)=1.32

Hence, the correct option is (b)

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

The density of the earth In 1798, the English scientist Henry Cavendish measured the density of the earth several times by careful work with a torsion balance. The variable recorded was the density of the earth as a multiple of the density of water. A Normal probability plot of the data is shown.16 Use the graph to determine if this distribution of density measurement is approximately Normal.

Batter up! In baseball, a player鈥檚 batting average is the proportion of times the player gets a hit out of his total number of times at-bat. The distribution of batting averages in a recent season for Major League Baseball players with at least 100 plate appearances can be modeled by a Normal distribution with mean 渭=0.261 and standard deviation 蟽=0.034Sketch the Normal density curve. Label the mean and the points that are 1,2, and 3 standard deviations from the mean.

Normal curve Estimate the mean and standard deviation of the Normal density curve below.

When Sam goes to a restaurant, he always tips the server \(2plus10%of the cost of the meal. If Sam鈥檚 distribution of meal costs has a mean of \)9 and a standard deviation of \(3what are the mean and standard deviation of his tip distribution?

a. \)2.90,\(0.30

b. \)2.90,\(2.30

c. \)9.00,\(3.00

d. \)11.00,\(2.00

e. \)2.00,$0.90

Comparing batting averages Three landmarks of baseball achievement are Ty Cobb鈥檚 batting average of 0.420 in 1911, Ted Williams鈥檚 0.406 in 1941, and George Brett鈥檚 0.390 in 1980 These batting averages cannot be compared directly because the distribution of major league batting averages has changed over the years. The distributions are quite symmetric, except for outliers such as Cobb, Williams, and Brett. While the mean batting average has been held roughly constant by rule changes and the balance between hitting

and pitching, the standard deviation has dropped over time. Here are the facts:

Find the standardized scores for Cobb, Williams, and Brett. Who had the best performance for the decade he played?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

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.