1. True
or False. Justify for full credit score. (25
pts)
(a) If
there isn’t a linear correlation between two variables, then these two variables
usually are not associated in any manner.
STAT200 : Introduction to
Statistics Last Examination, Fall 2014 OL4 /
US2 Web page
2 of 6
(b) If
the variance from an information set is zero, then all of the observations on this information
set are an identical.
(c) P( A
and A)=1, the place Ais the
complement of A.
(d) In
a speculation testing, if the P-value is lower than the importance stage ?, we
reject the null speculation.
(e) The
quantity of milk in a jug of milk is 128 oz. The worth 128 is from a discrete
information set.
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Confer with the next frequency distribution for Questions
2, three, four, and 5. Present all work. Simply the reply, with out
supporting work, will obtain no credit score.
The frequency distribution beneath exhibits the distribution for
checkout time (in minutes) in UMUC MiniMart between three:00 and four:00 PM on a
Friday afternoon.
Checkout Time (in minutes)
Frequency
1.zero – 1.9
2
2.zero – 2.9
12
three.zero – three.9
2
four.zero – four.9
four
2.
What share of the checkout instances was lower than three
minutes?
(5 pts)
three.
In what class interval should the median
lie? Clarify your reply.
(5 pts)
four.
Calculate the imply of this frequency distribution.
(5 pts)
5. Calculate
the usual deviation of this frequency distribution. (Spherical the reply to 2
decimal
locations) (10
pts)
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Confer with the next information to reply questions 6, 7 and
eight. Present all work. Simply the reply, with out supporting work,
will obtain no credit score.
A random pattern of STAT200 weekly research instances in hours is as
follows:
2
15
15
18
40
6.
Discover the pattern customary deviation. (Around the
reply to 2 decimal locations)
(10 pts)
7.
Discover the coefficient of variation.
(5 pts)
eight. Are
any of those research instances thought of uncommon primarily based on the Vary
Rule of Thumb?
Present work and
clarify. (5
pts)
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Confer with the next data for Questions 9, 10 and
11. Present all work. Simply the reply, with out supporting
work, will obtain no credit score.
Contemplate deciding on one card at a time from a 52-card deck.
Let occasion A be the primary card is an ace, and occasion B be the second card is an
ace. (Word: There are four aces in a deck of playing cards)
STAT200
: Introduction to Statistics Last Examination, Fall 2014 OL4
/
US2 Web page
three of 6
9. If
the cardboard choice is with out substitute, what’s the chance that the
first card is an ace and
the second
card can also be an ace? (Specific the reply in easiest fraction
kind) (10
pts)
10. If
the cardboard choice is with substitute, what’s the chance that the primary
card is an ace and
the
second card can also be an ace? (Specific the reply in easiest
fraction kind)
(10 pts)
11.
Are A and B unbiased
when the choice is with substitute? Why or why not?
(5 pts)
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Confer with the next data for Questions 12 and
13. Present all work. Simply the reply, with out supporting
work, will obtain no credit score.
There are 1000 juniors in a school.
Among the many 1000 juniors, 200 college students are taking STAT200, and 100 college students are
taking PSYC300. There are 50 college students taking each programs.
12. What
is the chance that a randomly chosen junior is taking not less than one in every of
these two
programs? (10
pts)
13. What
is the chance that a randomly chosen junior is taking PSYC300, given
that
he/she is taking
STAT200? (10
pts)
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14. UMUC
Stat Membership should appoint a president, a vp, and a treasurer. There
are 10
certified candidates. What number of other ways can the
officers be appointed? (5
pts)
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15. Mimi
has seven books from the Statistics is Enjoyable sequence. She plans on bringing three
of the seven
books with
her in a street journey. What number of other ways can the three books be
chosen? (5 pts)
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Questions
16 and 17 contain the random variable x with chance
distribution given beneath.
Present all
work. Simply the reply, with out supporting work, will obtain no credit score.
x
-1
zero
1
2
P( x)
zero.1
zero.three
zero.four
zero.2
16.
Decide the anticipated worth of x.
(5 pts)
17.
Decide the usual deviation of x. (Spherical
the reply to 2 decimal locations)
(10 pts)
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Contemplate the next state of affairs for Questions 18, 19 and
20. Present all work. Simply the reply, with out supporting
work, will obtain no credit score.
Mimi simply began her tennis class three weeks in the past. On
common, she is ready to return 20% of her opponentâs serves. Assume her
opponent serves eight instances.
18. Let
X be the variety of returns that Mimi will get. As we all know, the distribution of X is
a binomial
chance distribution. What’s the variety of trials (n),
chance of successes (p) and
chance of failures (q),
respectively? (5
pts)
STAT200 : Introduction to
Statistics Last Examination, Fall 2014 OL4 / US2
Web page four of 6
19.
Discover the chance that that she returns not less than 1 of
the eight serves from her opponent.
(10 pts)
20.
What number of serves can she anticipate to return?
(5 pts)
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Confer with the next data for Questions 21, 22, and
23. Present all work. Simply the reply, with out supporting
work, will obtain no credit score.
The heights of dogwood timber are usually distributed with a
imply of 9 toes and a typical deviation of three toes.
21.
What’s the chance that a randomly chosen dogwood
tree is bigger than 12 toes?
(5 pts)
22.
Discover the 75th percentile of the dogwood
tree peak distribution.
(10 pts)
23. If
a random pattern of 36 dogwood timber is chosen, what’s the chance that
the imply peak
of this pattern is lower than 10
toes? (10
pts)
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24.A
random pattern of 100 mild bulbs has a imply lifetime of 3000 hours. Assume that
thepopulation customary deviation of the lifetime is 500 hours.
Assemble a 95% confidence interval estimate of the imply lifetime. Present
all work. Simply the reply, with out supporting work, will obtain no
credit score.(15 pts)
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25. Given
a pattern measurement of 100, with pattern imply 730 and pattern customary deviation 100,
we carry out the next speculation check on the a = zero.05
stage.
H0 : m=750
H1: m¹750
(a) Decide
the check statistic. Present all work; writing the right check statistic,
with out supporting work, will obtain no credit score.
(b) Decide
the vital values. Present all work; writing the right vital worth, with out
supporting work, will obtain no credit score.
(c) What’s your conclusion of the check? Please
clarify. (20
pts)
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26. Contemplate
the speculation check given by
H0 : p=zero.5
H1: p<0.5 In a random sample of 225 subjects, the sample proportion is found to be pË = 0.51. (a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. STAT200 : Introduction to Statistics Final Examination, Fall 2014 OL4 / US2 Page 5 of 6 (b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. (c) Is there sufficient evidence to justify the rejection of H0 at the a = 0.01 level? Explain. (20 pts) .gif">.gif”>.gif”>.gif”>
27. In
a research of reminiscence recall, 5 individuals got 10 minutes to memorize an inventory of
20 phrases. Every was requested to record as most of the phrases as she or he might
bear in mind each 1 hour and 24 hours later. The result’s proven within the following
desk.
Variety of Phrases Recalled
Topic
1 hour later
24 hours later
1
14
12
2
18
15
three
11
9
four
13
12
5
12
12
Is there proof to counsel that the imply variety of phrases
recalled after 1 hour exceeds the imply recall after 24 hours?
Assume we wish to use a zero.01 significance stage to check the declare.
(a) Establish
the null speculation and the choice speculation.
(b) Decide the
check statistic. Present all work; writing the right check statistic,
with out supporting work, will obtain no credit score.
(c) Decide
the vital worth. Present all work; writing the right vital worth, with out
supporting work, will obtain no credit score.
(d) Is there
enough proof to assist the declare that the imply variety of phrases recalled
after 1 hour exceeds the imply recall after 24 hours? Justify your conclusion.
(20 pts)
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Confer with
the next information for Questions 28 and 29.
x
zero
-1
three
5
y
three
-2
three
eight
28. Discover
an equation of the least squares regression line. Present all work;
writing the right
equation, with out supporting work, will obtain no credit score. (15
pts)
29. Primarily based
on the equation from # 28, what’s the predicted worth of y if x =
four? Present all work
and justify your reply. (5
pts)
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STAT200 : Introduction to Statistics
Last Examination, Fall 2014 OL4 / US2
Web page 6 of 6
30.
The UMUC MiniMart sells 4 several types of teddy
bears. The supervisor stories that
the 4 sorts are equally standard. Suppose that a pattern
of 100 purchases yields
noticed counts 30, 24, 22, and 24 for sorts 1, 2, three, and
four, respectively.
Kind
1
2
three
four
Quantity
30
24
22
24
Assume we wish to use a zero.10 significance stage to check
the declare that the 4 sorts are
equally standard.
(a)
Establish the null speculation and the choice
speculation.
(b)
Decide the check statistic. Present all work;
writing the right check statistic, with out
supporting work, will obtain no credit score.
(c)
Decide the vital worth. Present all work;
writing the right vital worth,
with out supporting work, will obtain no credit score.
(d)
Is there enough proof to assist the managerâs
declare that the 4 sorts are
equally standard? Justify your reply.
(20 pts)
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