Home
Subjects
Explanations
Create
Study sets, textbooks, questions
Log in
Sign up
Upgrade to remove ads
Only $35.99/year
Math
Statistics
Stats
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
ch 3
Terms in this set (15)
What does it mean if a statistic is resistant?
a. Extreme values (very large or small) relative to the data affect its value substantially
b. Extreme values (very large or small) relative to the data do not affect its value substantially
c. Changing particular data values affect its value substantially
d. An estimate of its value is extremely close to its actual value
b
A histogram of a set of data indicates that the distribution of the data is skewed right. Which measure of central tendency will likely be larger, the mean or the median and why?
a. The median will likely be larger because the extreme values in the left tail tend to pull the median in the opposite direction of the tail.
b. The mean will likely be larger because the extreme values in the left tail tend to pull the mean in the opposite direction of the tail.
c. The median will likely be larger because the extreme values in the right tail to pull the median in the direction of the tail.
d. The mean will likely be larger because the extreme values in the right tail tend to pull the mean in the direction of the tail
d
The sum of the deviations about the mean always equals
a. zero
b. one
zero
True or False. Chesbyshev's inequality applies to all distributions regardless of shape, but the empirical rule holds only for distributions that are bell shaped.
a. False, both Chesbyshev's inequality and the empirical rule will only work for bell-shaped distributions.
b. False, both Chesbyshev's inequality and the empirical rule will work for any distribution.
c. True, Chesbyshev's inequality is less precise than the empirical rule, but will work for any distribution, while the empirical rule only works for bell-shaped distributions.
d. False, the empirical rule is less precise than Chesbyshev's inequality, but will work for any distribution, while Chesbyshev's inequality only works for bell-shaped distributions
c. True, Chesbyshev's inequality is less precise than the empirical rule, but will work for any distribution, while the empirical rule only works for bell-shaped distributions.
What makes the range less desirable than the standard deviation as a measure of dispersion?
a. the range does not use all the observations
b. the range is biased
c. the range is resistant to extreme values
d. the range describes how far, on average, each observation is far from the mean.
a. the range does not use all the observations
Explain the circumstances for which the interquartile range is preferred measure of dispersion. What is an advantage that the standard deviation has over the interquartile range?
a. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it increases at the dispersion of the data increases.
b. The interquartile range is preferred when the data are not skewed or no have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
c. The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
d. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it increases as the dispersion of the data increases
C. The interquartile is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
____________ divide the data sets into fourths.
Quartiles
In a boxplot, if a median is to the left of the center of the box and the right whisker is substantially longer than the left whisker, the distribution is skewed ________.
right
Value that lies in the middle when arranged in ascending order
Median
Adding all the values of the variable in the data set and dividing the number of observations
mean
variable that is the most frequent
mode
difference between largest data set and smallest data set.
range
if the extreme values (very large or small) relative to the data do not affect the value substantially
resistant
squared of the standard deviation
variance
range of the middle 50% of the observations in the data set
Interquartile Range (IQR)
Recommended textbook explanations
Elementary Statistics: A Step By Step Approach
10th Edition
Allan G. Bluman
2,364 explanations
Elementary Statistics: A Step by Step Approach
6th Edition
Allan G. Bluman
1,513 explanations
Statistics: The Exploration & Analysis of Data
7th Edition
Jay L. Devore, Roxy Peck
265 explanations
The Basic Practice of Statistics
6th Edition
David Moore
638 explanations
Sets found in the same folder
Stats Midterm
39 terms
Stats Multiple Choice
7 terms
Stats Final MC
15 terms
Sets with similar terms
Chapter 3 Bluman Statistics
33 terms
MVS 250 Ch. 3 - 5
17 terms
Unit 2 Chapter 5 AP Stat BBC
16 terms
Chapter 3 - Stat 1
53 terms
Other sets by this creator
Chapter 1 - scientific names
4 terms
Microbiology - Chapter 1 Quiz
33 terms
Cell Structure, Animal Cell Structure, N…
26 terms
Cranial Nerves
12 terms
Other Quizlet sets
ch 30 post
12 terms
Ch.7 II pt 2 Study stuff
43 terms
Exam 2 - Histology - Lymphoid Tissue 1
90 terms
AS, RBC, TF, and SBR
95 terms
Verified questions
PROBABILITY
Corrosion fatigue in metals has been deﬁned as the simultaneous action of cyclic stress and chemical attack on a metal structure. A widely used technique for minimizing corrosion fatigue damage in aluminum involves the application of a protective coating. A study conducted by the Department of Mechanical Engineering at Virginia Tech used 3 different levels of humidity $$ \begin{matrix} \text{Low: 20–25\\% relative humidity}\\ \text{Medium: 55–60\\% relative humidity}\\ \text{High: 86–91\\% relative humidity}\\ \end{matrix} $$ and 3 types of surface coatings $$ \begin{matrix} \text{Uncoated: no coating}\\ \text{Anodized: sulfuric acid anodic oxide coating}\\ \text{Conversion: chromate chemical conversion coating}\\ \end{matrix} $$ The corrosion fatigue data, expressed in thousands of cycles to failure, were recorded as follows: $$ \begin{matrix} & \text{Relative Humidity }\\ \text{Coating} & \text{Low} & \text{Medium} & \text{High}\\ \quad & 361 \quad 469 & 314 \quad 522 & 1344 \quad 1216\\ \text{Uncoated} & 466 \quad 937 & 244 \quad 739 & 1027 \quad 1097\\ \quad & 1069 \quad 1357 & 261 \quad 134 & 1011 \quad 1011\\ \quad & 114 \quad 1032 & 322 \quad 471 & 78 \quad 466\\ \text{Anodiized} & 1236 \quad 92 & 306 \quad 130 & 387 \quad 107\\ \quad & 533 \quad 211 & 68 \quad 398 & 130 \quad 327\\ \quad & 130 \quad 1482 & 252 \quad 874 & 586 \quad 524\\ \text{Conversion} & 841 \quad 529 & 105 \quad 755 & 402 \quad 751\\ \quad & 1595 \quad 754 & 847 \quad 573 & 846 \quad 529\\ \end{matrix} $$ (a) Perform an analysis of variance with $\alpha =0.05$ to test for signiﬁcant main and interaction effects. (b) Use Duncan’s multiple-range test at the 0.05 level of signiﬁcance to determine which humidity levels result in different corrosion fatigue damage.
QUESTION
It’s believed that 4% of children have a gene that may be linked to juvenile diabetes. Researchers hoping to track 20 of these children for several years test 732 newborns for the presence of this gene. What’s the probability that they find enough subjects for their study?
STATISTICS
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance $$ \alpha $$ . Two-tailed test, $$ n = 61, \alpha = 0.01 $$
STATISTICS
The weekly amount of downtime Y (in hours) for an industrial machine has approximately a gamma distribution with $$ \alpha = 3 \text { and } \beta = 2 $$ . The loss L (in dollars) to the industrial operation as a result of this downtime is given by $$ L = 30 Y + 2 Y ^ { 2 } $$ . Find the expected value and variance of L.