Solution Found!

Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
Change Question

Using Confidence Intervals to Test Hypotheses Test the

Chapter 6, Problem 27AYU

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 27AYU

Using Confidence Intervals to Test Hypotheses Test the hypotheses in Problem by constructing a 99% confidence interval.

Problem

Calcium in Rainwater Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in Chautauqua, New York, was 0.11 milligram per liter (mg/L). A random sample of 10 precipitation dates in 2010 results in the following data:

0.065

0.087

0.070

0.262

0.126

0.183

0.120

0.234

0.313

0.108

Source: National Atmospheric Deposition Program

(a) Because the sample size is small, we must verify that calcium concentrations are normally distributed and the sample does not have any outliers. The normal probability plot and boxplot are shown. Are the conditions for conducting the hypothesis test satisfied?

(b) Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the α = 0.05 level of significance.

Questions & Answers

QUESTION:

Problem 27AYU

Using Confidence Intervals to Test Hypotheses Test the hypotheses in Problem by constructing a 99% confidence interval.

Problem

Calcium in Rainwater Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in Chautauqua, New York, was 0.11 milligram per liter (mg/L). A random sample of 10 precipitation dates in 2010 results in the following data:

0.065

0.087

0.070

0.262

0.126

0.183

0.120

0.234

0.313

0.108

Source: National Atmospheric Deposition Program

(a) Because the sample size is small, we must verify that calcium concentrations are normally distributed and the sample does not have any outliers. The normal probability plot and boxplot are shown. Are the conditions for conducting the hypothesis test satisfied?

(b) Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the α = 0.05 level of significance.

ANSWER:

Problem 27AYU

Answer:

Step1:

a).

We have,

Yes, all the data lie within the confidence bands of the normal probability plot, and the boxplot does not show any outliers. 

b).

We have,

0.065

0.087

Add to cart

Study Tools You Might Need

Chapter: 5 Problem: 86P

Introductory Chemistry 5
Arrange the compounds in order of decreasing formula mass. \(\mathrm{WO}_{2}\), \(\mathrm{Rb}_{2} \mathrm{SO}_{4}\), \(\mathrm{~Pb}\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right)_{2}\), RbI Equation Transcript

Chapter: 5 Problem: 2

College Physics 1
Problem 2PE (a) When rebuilding her cars engine, a physics major must exert 300 N of force to insert a dry steel piston into a steel cylinder. What is the magnitude of the normal force between the piston and cylinder? (b) What is the magnitude of the force would she have to exert if the steel parts

Chapter: 6 Problem: 49P

Principles of General Chemistry 2
Problem 49P Strike anywhere matches contain the compound tetraphosphorus trisulfide, which bums to form tetraphosphorus decaoxide and sulfur dioxide gas. How many milliliters of sulfur dioxide, measured at 725 torr and 32C, can be produced from burning 0.800 g of tetraphosphorus trisulfide?

Chapter: 6 Problem: 2

Elementary Statistics: A Step by Step Approach 8th ed. 8
Teachers Salaries The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns a. Between $35,000 and $45,000 a year b. More than $40,000 a year c. If yo

Chapter: 11 Problem: 16

American Government
House leaders are more powerful than Senate leaders because of ________. a. the majoritarian nature of the Housea majority can run it like a cartel b. the larger size of the House c. the constitutional position of the House d. the State of the Union address being delivered in the House chamber

Chapter: 1 Problem: 7

Probability and Statistical Inference 9
Each of three football players will attempt to kick a field goal from the 25-yard line. Let \(A_{i}\) denote the event that the field goal is made by player \(i, i=1,2,3 \text {. }\) Assume that \(A_{1}, A_{2}, A_{3}\) are mutually independent and that \(P\left(A_{1}\right)=0.5, P\left(A_{2}\right)=0

Chapter: 20 Problem: 6

Macroeconomics 22nd
Why is a quota more detrimental to an economy than a tariff that results in the same level of imports as the quota? What is the net outcome of either tariffs or quotas for the world economy?

Chapter: 6 Problem: 4

Advanced Engineering Mathematics 10
What property of the Laplace transform is crucial in solving ODEs?

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back