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Unformatted text preview: KW K EV MA 223, Engineering Statistics Spring 2008; 10 points possible CM Box #2
Chapter 5, Probability and the IID Assumption Due Date: Monday, April 14 at the beginning of class Answer each of the following. Show ALL of your work and label your answers clearly. For each of the following data collection situations, analyze the random order plot, the time series plot, and
the lag plot. Based on these plots, are you comfortable with assuming that the population or process which
is being sampled is stationary/stable? That is, are you comfortable assuming that the data satisﬁes the assumption that it is independent and identically distributed? Be as thorough as possible in your responses. 1. [2 pts] The 502 concentration (in ppm) in air samples collected at the Terre Haute airport is recored
every week for approximately 4 years. The following plots are a random order plot, a time series plot, and a
lag plot (in that order) for the data. Based on these plots, are you comfortable making the IID assumption? “auramuseum minimimic.“ Luna: nonvm)
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bin Random Order Plot Time Series Plot Lag Plot 7C8? (slaiq 7%le 0/6 U07“ IMBET’ENBEUT; $61947) ﬁe Sim/ape
15 NOT II? Me 5e «:2, xeqsoat 12. dgﬂgf 1‘29 («/mLm/ﬂﬂg [3&un {Kg/e l3 9 (’ng {4’41 :1 “(46' Q43 ‘ppoi )ws‘oj (Du/(”I'An'i‘d‘” is‘iec‘i “fee“ 50‘: (we, 2. [2 pts] Ball bearings produced in certain factory are supposed to be 0.5 inches in diameter. To monitor 13 «at M <‘lq‘1’fb/(4‘
the quality of their product, the company utilizes systematic random sampling in testing every 1,000‘h Er <12 M
bearing produced in the factory. The following plots are a random order plot, a time series plot, and a lag M 7 i '7’
plot (in that order) for the data collected last week. Based on these plots, are you comfortable making the IID assumption? I Human(hm mmmam Ltg'lt: V(l)v.V(i~l) ‘ 053 immnaasosemowm L «um i W 30 m w sum m . so it.) ‘
Random Order Plot Time Series Plot
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rTCJZ/Q 10 4a ”64504 Lb (llaugi‘ ti) 50 wk 635 C A ~H3u °> SQ M79106 .7 3. [2 pts] Shade the region that corresponds to the following event: (AUB)nC’ 4. [2 pts] There are 47 people eating in a cafeteria. Of the 47, 19 are having a ﬁsh sandwich, 26 are having
a hot dog, and 7 are having both a ﬁsh sandwich and a hot dog. That is, if F represents the event that an
individual is eating a ﬁsh sandwich and H represents the event that an individual is having a hot dog, the
previous statement is summarized by n(F) = 19, n(H) = 26, and n(F n H) = 7. Construct and ﬁll in a
Venn diagram or a 2x2 contingency table to summarize this population. 5. [1 pts] What is the probability that a person selected randomly in this cafeteria is eating neither a ﬁsh
sandwich nor a hot dog? Express your answer as a fraction and as a decimal to four digits. 6. [1 pts] Are F and H mutually exclusive? Justify your response using the deﬁnition of mutually
exclusive. Does this answer agree with your intuition about the meaning of the phrase “mutually
exclusive?” ‘Fand H cm NU‘T HMTWPLLY {racism/2?, ‘P( FA H) ‘= 1/er i o, be Cause. ...
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 Spring '08
 DeVasher
 Statistics

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