(Solved by Humans)-Below I have uploaded a statistics homework, please solve all

Question

Below I have uploaded a statistics homework, please solve all problems and show all work.

P.S. I need this before 3:30 P.M. today please.

Name_________________________________________-??
Date__________________________

Statistics
Exam
2
Take
Home
Make
up

Use
the
binomial
table
in
the
book
or
you
may
use
the
calculator

1. Of
those
mountain
climbers
who
attempt
Mt.
McKinley,
only
65%
reach
the
summit.

In
a

random
sample
of
15
climbers
who
are
going
to
attempt
Mt.
McKinley,
what
is
the
probability
of

each
of
the
following?

a) All
15
reach
the
summit.













a)__________

b) At
least
10
reach
the
summit.












b)__________

c) No
more
than
12
reach
the
summit











c)__________

d) From
9
to
12
reach
the
summit.












d)__________



2. Assuming
that
the
heights
of
boys
in
a
high
school
basketball
team
are
normally
distributed

with
mean
70
inches
and
standard
deviation
2.5
inches,
how
many
boys
in
a
group
of
40
are

expected
to
be
taller
than
65
inches?



3. Let
x
be
a
random
variable
that
represents
the
length
of
time
it
takes
a
student
to
complete
Dr.

Oz?s
chemistry
lab
project.

From
long
experience,
it
is
known
that
x
has
a
normal
distribution

with
mean
?=
3.6
and
standard
deviation
?=
0.5.

Convert
each
of
the
following
x
intervals
to

standard
z
intervals.

a) x?4.5

b) 3?x?4

c) x?2.5

Convert
each
of
the
following
z
intervals
to
raw
scores
x
intervals

d) z?-??1

e) 1?z?2

f) z?1.5



4. The
length
of
time
to
complete
a
door
assembly
on
an
automobile
assembly
line
is
normally

distributed
with
mean
?=6.7
minutes
and
standard
deviation
?=2.2
minutes.

For
a
door

selected
at
random,
what
is
the
probability
that
the
assembly
line
will
be:

a) 5
minutes
or
less?

b) 10
minutes
or
more?

c) Between
5
and
10
minutes?







5.








Thickness
measurements
of
ancient
prehistoric
Native
American
pot
shards
discovered
in
a

village
are
approximately
normally
distributed
with
a
men
of
5.1
millimeters
and
a
standard

deviation
of
0.9
millimeters.
Suppose
a
random
shard
is
found,
what
is
the
probability
that
the

thickness
is

a) Less
than
3.0
mm?

b) Fewer
than
7.0
mm?

c) Between
3.0
and
7.0
mm?









6.





In
a
random
sample
of
519
judges,
it
was
found
that
285
were
introverts
.




Let
p
represent
the
proportion
of
all
judges
who
are
introverts.
Find
a
point
estimate
for

p.





7.

Find
a
99%
confidence
interval
for
p.






















8.



A
University
is
trying
to
attract
more
commuting
students
from
the
local
community.
As

part
of
the
research
into
the
modes
of
transportation
students
use
to
commute
to
the
University,
a

survey
was
conducted
asking
how
far
commuting
students
commuted
from
home
to
school
each
day.
A

random
sample
of
30
students
provided
the
distance
(in
miles)
shown.










14


10


14


12


12


11


5


6


9


14


9





7


15


9


7


7


12


10


15


10


6


11





11


10


11


7


12


9




4



9





Find
a
point
estimate
and
sample
standard
deviation
for
the
population
mean
commuting
distance.



9.


Construct
and
interpret
a
95%
confidence
interval
for
the
population
mean
commuting
distance.