Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.2, Problem 15AYU
Peanuts A jar of peanuts is supposed to have 16 ounces of peanuts. The filling machine inevitably experiences fluctuations in filling, so a quality-control manager randomly samples 12 jars of peanuts from the storage facility and measures their contents. She obtains the following data:
- (a) Verify that the data are
normally distributed by constructing a normalprobability plot. - (b) Determine the sample standard deviation.
- (c) Construct a 90% confidence interval for the population standard deviation of the number of ounces of peanuts.
- (d) The quality control manager wants the machine to have a population standard deviation below 0.20 ounce. Does the confidence interval validate this desire?
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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 B.2 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.2 - True or False: The chi-square distribution is...Ch. B.2 - Prob. 2AYUCh. B.2 - Prob. 3AYUCh. B.2 - Prob. 4AYUCh. B.2 - Prob. 5AYUCh. B.2 - Prob. 6AYUCh. B.2 - In Problems 58, find the critical values 1/22 and...Ch. B.2 - Prob. 8AYUCh. B.2 - Prob. 9AYUCh. B.2 - A simple random sample of size n is drawn from a...
Ch. B.2 - NW 11. pH of Rain The following data represent the...Ch. B.2 - Travel Taxes Travelers pay taxes for flying, car...Ch. B.2 - Crash Test Results The following data represent...Ch. B.2 - Crawling Babies The following data represent the...Ch. B.2 - Peanuts A jar of peanuts is supposed to have 16...Ch. B.2 - Investment Risk Investors not only desire a high...Ch. B.2 - Critical Values Sir R. A. Fisher, a famous...
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