Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 9.1, Problem 45AYU
Cauliflower? Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 20 students, she finds 2 who eat cauliflower. Obtain and interpret a 95% confidence interval for the proportion of students who eat cauliflower on Jane’s campus using Agresti and Coull’s method.
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20 km, because
GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
Chapter 9 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 9.1 - A _____ _____ is the value of a statistic that...Ch. 9.1 - The _____ ___ _____ represents the expected...Ch. 9.1 - True or False: A 95% confidence interval for a...Ch. 9.1 - The value z2 represents the of the distribution.Ch. 9.1 - As the level of confidence of a confidence...Ch. 9.1 - As the sample size used to obtain a confidence...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...
Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - Prob. 19AYUCh. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - NW You Explain It! New Deal Policies In response...Ch. 9.1 - Prob. 22AYUCh. 9.1 - You Explain It! Valentines Day A Rasmussen Reports...Ch. 9.1 - Prob. 24AYUCh. 9.1 - NW Giving Blood A survey of 2306 adult Americans...Ch. 9.1 - Saving for Retirement? A Retirement Confidence...Ch. 9.1 - Luxury or Necessity? A random sample of 1003 adult...Ch. 9.1 - Family Values In a USA Today/Gallup poll, 768 of...Ch. 9.1 - Prob. 29AYUCh. 9.1 - Reading In a survey of 700 community college...Ch. 9.1 - Phone in the John In a survey conducted by the...Ch. 9.1 - Deficit Reduction The Sullivan Statistics Survey I...Ch. 9.1 - Random Walk Go to...Ch. 9.1 - Language The Sullivan Statistics Survey I asks, Is...Ch. 9.1 - NW High-Speed Internet Access A researcher wishes...Ch. 9.1 - Home Ownership An urban economist wishes to...Ch. 9.1 - A Penny for Your Thoughts A researcher for the...Ch. 9.1 - Credit-Card Debt A school administrator is...Ch. 9.1 - Football Fans A television sports commentator...Ch. 9.1 - Prob. 40AYUCh. 9.1 - Prob. 41AYUCh. 9.1 - Prob. 42AYUCh. 9.1 - Senate Race Gallup polled 982 likely voters...Ch. 9.1 - Cauliflower? Jane wants to estimate the proportion...Ch. 9.1 - Walk to Work Alan wants to estimate the proportion...Ch. 9.1 - Putting It Together: Hand Washing The American...Ch. 9.1 - Prob. 48AYUCh. 9.1 - Prob. 49AYUCh. 9.1 - Prob. 50AYUCh. 9.1 - Prob. 51AYUCh. 9.1 - Prob. 52AYUCh. 9.1 - Prob. 53AYUCh. 9.1 - The 114th Congress of the United States of America...Ch. 9.2 - As the number of degrees of freedom in the...Ch. 9.2 - True or False: The t-distribution is centered at .Ch. 9.2 - The notation t is the t-value such that the area...Ch. 9.2 - True or False: The value of t0.10 with 5 degrees...Ch. 9.2 - True or False: To construct a confidence interval...Ch. 9.2 - Prob. 6AYUCh. 9.2 - NW a. Find the t-value such that the area in the...Ch. 9.2 - a. Find the t-value such that the area in the...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - Prob. 15AYUCh. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - A simple random sample of size n is drawn from a...Ch. 9.2 - A simple random sample of size n is drawn from a...Ch. 9.2 - Prob. 19AYUCh. 9.2 - A simple random sample of size n is drawn. The...Ch. 9.2 - You Explain It! Hours Worked In a survey conducted...Ch. 9.2 - You Explain It! Sleeping A 90% confidence interval...Ch. 9.2 - Prob. 23AYUCh. 9.2 - Prob. 24AYUCh. 9.2 - Hours Worked Revisited For the Hours Worked survey...Ch. 9.2 - Sleeping Revisited Refer to the Sleeping results...Ch. 9.2 - Blood Alcohol Concentration A random sample of 51...Ch. 9.2 - Hungry or Thirsty? How much time do Americans...Ch. 9.2 - Tootsie Pops A Tootsie Pop is a sucker with a...Ch. 9.2 - How Much Do You Read? A recent Gallup poll asked...Ch. 9.2 - NW pH of Rain The following data represent the pH...Ch. 9.2 - Travel Taxes Travelers pay taxes for flying, car...Ch. 9.2 - Crash Test Results The following data represent...Ch. 9.2 - Crawling Babies The following data represent the...Ch. 9.2 - Housing Starts The following data represent the...Ch. 9.2 - PepsiCo Stock Volume The trade volume of a stock...Ch. 9.2 - Tornadoes Go to...Ch. 9.2 - Tax Rate The Sullivan Statistics Survey II asks,...Ch. 9.2 - Prob. 39AYUCh. 9.2 - Prob. 40AYUCh. 9.2 - NW Sample Size Dr. Paul Oswiecmiski wants to...Ch. 9.2 - Sample Size Dr. Paul Oswiecmiski wants to estimate...Ch. 9.2 - Reading A recent Gallup poll asked Americans to...Ch. 9.2 - Television A researcher wanted to determine the...Ch. 9.2 - Prob. 45AYUCh. 9.2 - Effect of Outliers The following small data set...Ch. 9.2 - Putting It Together: Smoking Cessation Study...Ch. 9.2 - How Many Drinks? A question on the General Social...Ch. 9.2 - Prob. 51AYUCh. 9.2 - The procedure for constructing a t-interval is...Ch. 9.2 - Prob. 53AYUCh. 9.2 - Prob. 54AYUCh. 9.2 - Suppose you have two populations: Population AAll...Ch. 9.2 - Prob. 56AYUCh. 9.3 - For what type of variable does it make sense to...Ch. 9.3 - For what type of variable does it makes sense to...Ch. 9.3 - What requirements must be satisfied in order to...Ch. 9.3 - What requirements must be satisfied in order to...Ch. 9.3 - In Problems 512, construct the appropriate...Ch. 9.3 - Prob. 6AYUCh. 9.3 - Prob. 7AYUCh. 9.3 - Prob. 8AYUCh. 9.3 - Prob. 9AYUCh. 9.3 - Prob. 10AYUCh. 9.3 - Prob. 11AYUCh. 9.3 - Prob. 12AYUCh. 9.3 - Prob. 13AYUCh. 9.3 - Prob. 14AYUCh. 9.3 - Worried about Retirement? In a survey of 1008...Ch. 9.3 - Theme Park Spending In a random sample of 40...Ch. 9.3 - Fastball Clayton Kershaw of the Los Angeles...Ch. 9.3 - Prob. 18AYUCh. 9.3 - Sleep Apnea and Gum Disease Sleep apnea is a...Ch. 9.3 - Weight Gain Researchers conducted a study to see...Ch. 9.3 - Prob. 21AYUCh. 9.3 - Researchers at the Gallup Organization asked a...Ch. 9.3 - A researcher wanted to know whether consumption of...Ch. 9.3 - Prob. 24AYUCh. 9 - Find the critical t-value for constructing a...Ch. 9 - IQ Scores Many of the examples and exercises in...Ch. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - The area under the t-distribution with 18 degrees...Ch. 9 - Which is larger, the area under the t-distribution...Ch. 9 - Prob. 7RECh. 9 - A simple random sample of size n is drawn from a...Ch. 9 - A simple random sample of size n is drawn from a...Ch. 9 - Long Life? In a survey of 35 adult Americans, it...Ch. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Hypertension In a random sample of 678 adult males...Ch. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - A question on the General Social Survey was this:...Ch. 9 - Prob. 4CTCh. 9 - The campus at Joliet Junior College has a lake. A...Ch. 9 - From a random sample of 1201 Americans, it was...Ch. 9 - Wimbledon Match Lengths A tennis enthusiast wants...
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