## Transcribed Text

1.
On average, the running timeo of children's movies follow normal distribution with meano 195 minutes, with a
standard deviation of minutes You check out children's movie from RedBox, randomly choser without
reading the running time the description, keep you kids entertained you canstudy Assume
your
children will keep focused nthe movie, for the entire length of the movie
a) Whati the probability that the movie you chose will run for at least the Shours you need tr
study?
b)
What is the probability that the movie will run between 7 minutes minutes?
c)
Given that the movie runs more than 104 minutes, what the probability that it run
less
than
S hours?
d)
Find the probability that the randomly thosen movie will exacti one hour
What movie length times for the middle 40% children's movies?
f) USING ONLY THE EMPIRICA RULES: find the probability that movie runs between 83 and 119 minutes.
2.
Purdue's undergraduate admission rate 57% (This means that 57% students who apply Purdue for
indergraduate studies are offered admission.) Suppose that Purdue has 48,000 undergraduate student
applicants
for the
2017
2018
year
Please
answer
the
following
questions:
a) Let (bethe number ofundergraduate students that for 2017-18 What the
distribution parameter(s) and support of
b)
What
the
that
between
are
admitted?
Write
out
the
probability the formula you would use (but DO NOT SOLVE)
c) Isthere method bi? State your reasoning (with values
calculated)tosupg this.
d)
Usethat method find the between 26,000 and 28,000 inclusive)
undergraduate
students
are
admitted
e)
IFa student gets admitted there
he/she
will
enroll
Purdue
What
the
expected
size of the class enterin Purdue inFall 2017?
3. Using Figures and below answer the following
a)
State
whether
b)
For
each
figure,
deviation
(Choose
only
yoneo
the
4. Consumer Reports conducted extensive test on various nds/models elliptical trainers. The overall rating
listed nthe table below based use, ergonomics, construction, and exercise range.
Brand/Model
Price
Rating
($)
Keys Fitness CG2
2500
84
LifeFitness X1 Basic
1900
74
Nordio Track Audio Strider 990
1000
Octane Fitness Q37e
2800
82
Schwinn43
800
69
Vision Fitness X6100
1700
68
Draw catterplot summarizing this data.
Calculate mean of Price and the mean FRating
What the variance of price?
What the standard deviation o Rating?
Calculate the covariance between price and Rating
Calculate
correlation
between
and
Rating
Hown of the variationin the Rating explained by the linear relationship with Price?
h) Would the slope ofa regression line for Price and Rating tobe positive negative horizontal? Explain your
reasoning
5. Ostudents took part ina spelling bee and their scores are listed inthe table below
Spelling Bee Scores
11
47
54
62
66
69
73
82
50
64
67
70
59
64
68
70
78
88
44
61
65
68
71
81
91
44
52
61
65
69
72
81
96
a)
Construct Stem and-Leaf plot of the data
b)
Determine the -Number summary Ethe above data
c)
What is the 73rd 'percentile Fthe above data?
d)
What is the Inter-Quartile Range DOR) Fthe data?
e) Identify any outliers inthe data set. Show how you determined this with calculations.
f)
Construct Modified Box Plotof the above data.
6. efollowing table shows thedata takenfrom apolltat asked for marital status and aee category ofrespondents.
Answer the questions below
Marital Status
Single/
Married
Widowed
Divorced
Separated
Never Married
Age Category under
194
25to 34
263
35to 44
45 to 54
55to 64
197
a)
What percent of those polled were divorced andir category? Is this ajoint conditional
or
marginal probability?
b)
What percent were age 34 or younger? Isthisajoint conditional, marginal probability?
c) those whowere single/never married, what percent were 45 or older? Is this: joint, conditional
or
marginal robability?
d)
What percent were separ atedor divorced? Isthis joint, margina probability?
What the expected count of those
f)
Writeout the null for Besure towrite these
in
the
context
tofthe problem.
g)
What arethe degrees for Chi -Square
h) Using aloha= 0.01 what isthe critical value?
i)
The
value
calculated
statistic
for
this
State
the
condusion
of this test
in the context of the problem.
7.
Ten
used
Hondas
between
in Carmel
Indiana
The
age
in years
(x) and the
fit is
29160
194
a) Whati the slope the regression line? What does this
fthestory?
b)
Whati the predicted predicted elling price for a
Honda
that
years
Arethe
d)
What is correlation weak
or
moderate?
e)
The actual selling price the residual for thi car
- years, how
g)
How much ofvariation the explained bythe linear relationship
with
age
&
Givent the following scenario. identify the appropriate
Wewant to understand the distribution of the returns of the 3,580stocks listedonthe NYSE.
b)
We
want
investigate
currently
taking
STAT
225
We want understand nelectricity usage from 1965 o 2015.
d)
We want to
and
the
recession
(the
galaxies.
e)
Acompany
wants
to compare
the
number
9.
For the following
questions
a-f.
choose
the
may
used once
more
than
once,
or not at all.
Nome Above

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