The
average
amount
of
time
it
takes
for
couples
to
further
communicate
with
each
other
after
their
first
date
has
ended
is
2.54
days.
Is
this
average
different
for
blind
dates?
A
researcher
interviewed
43
couples
who
had
recently
been
on
blind
dates
and
found
that
they
averaged
2.7
days
to
communicate
with
each
other
after
the
date
was
over.
Their
standard
deviation
was
0.324
days.
What
can
be
concluded
at
the
the
a
=
0.01
level
of
significance?
a.
For
this
study,
we
should
use
|
Select
an
answer
v
|
b.
The
null
and
alternative
hypotheses
would
be:
Hy
:
[?
v
||Select
an
answer
v
|
‘
l
H,:
|?wv/||Selectan
answerv|’
l
c.
The
test
statistic
=
‘
’
(please
show
your
answer
to
3
decimal
places.)
d.
The
p-value
=
‘
‘
(Please
show
your
answer
to
4
decimal
places.)
e.
The
p-value
is
a
f.
Based
on
this,
we
should
|
Select
an
answer
v
|
the
null
hypothesis.
g.
Thus,
the
final
conclusion
is
that
...
O
The
data
suggest
that
the
population
mean
is
not
significantly
different
from
2.54
at
a
=
0.01,
so
there
is
statistically
insignificant
evidence
to
conclude
that
the
population
mean
time
for
couples
who
have
been
on
a
blind
date
to
communicate
with
each
other
after
the
date
is
over
is
different
from
2.54.
()
The
data
suggest
the
population
mean
is
not
significantly
different
from
2.54
at
a
=
0.01,
so
there
is
statistically
significant
evidence
to
conclude
that
the
population
mean
time
for
couples
who
have
been
on
a
blind
date
to
communicate
with
each
other
after
the
date
is
over
is
equal
to
2.54.
()
The
data
suggest
the
populaton
mean
is
significantly
different
from
2.54
at
a
=
0.01,
so
there
is
statistically
significant
evidence
to
conclude
that
the
population
mean
time
for
couples
who
have
been
on
a
blind
date
to
communicate
with
each
other
after
the
date
is
over
is
different
from
2.54.
