According to a​ report, the standard deviation of deviation of monthly cell phone bill was ​$48.93 three years ago. A researcher suspects that the standard deviation of deviation of monthly cell phone bill  is different from different from today. ​(a) Determine the null and alternative hypotheses. ​(b) Explain what it would mean to make a Type I error. ​(c) Explain what it would mean to make a Type II error. ​(a) State the hypotheses.   Upper H0​: ▼   pp muμ sigmaσ ▼   greater than> not equals≠ less than< equals= ​$nothing Upper H 1H1​: ▼   muμ pp sigmaσ ▼   greater than> not equals≠ equals= less than< ​$nothing ​(Type integers or decimals. Do not​ round.) ​ (b) Explain what it would mean to make a Type I error. Choose the correct answer below.   The sample evidence led the researcher to believe the standard  deviation of deviation of the monthly cell phone bill is higher than higher than ​$48.93​, when in fact the standard deviation of the bill bill is $48.93.   B. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from different from ​$ 48.93​, when in fact the standard standard deviation of deviation of the bill bill is ​$48.93.   C. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill bill is higher than higher than ​$48.93​, when in fact the standard deviation of the bill bill is higher than higher than ​$ 48.93.   D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from ​$48.93​, when in fact the standard standard deviation ofdeviation of the bill bill is different fromdifferent from ​$48.93. ​(c) Explain what it would mean to make a Type II error. Choose the correct answer below.     A. The sample evidence led the researcher to believe the standardstandard deviation of deviation of the monthly cell phone bill bill is different fromdifferent from ​$48.93​, when in fact the standard standard deviation ofdeviation of the  bill is ​$48.93.   B. The sample evidence did not lead the researcher to believe the standard standard  of the monthly cell phone bill bill is different fromdifferent from ​$48.93​, when in fact the standard standard deviation ofdeviation of the  bill is different from ​$48.93   C. The sample evidence did not lead the researcher to believe the standards deviation of deviation of the monthly cell phone billis higher than ​$48.93, when in fact the standard standard deviation of deviation of the bill  is higher thanhigher than ​$48.93.   D. The sample evidence led the researcher to believe the standardstandard deviation ofdeviation of the monthly cell phone bill is different from ​$48.93, when in fact the standard deviation of the bill bill is different from ​$48.93.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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According to a​ report, the
standard
deviation of deviation of
monthly cell phone
bill
was
​$48.93
three years ago. A researcher suspects that the
standard
deviation of deviation of
monthly cell phone
bill 
is
different from different from
today.
​(a)
Determine the null and alternative hypotheses.
​(b)
Explain what it would mean to make a Type I error.
​(c)
Explain what it would mean to make a Type II error.
​(a) State the hypotheses.
 
Upper H0​:
 
pp
muμ
sigmaσ
 
greater than>
not equals≠
less than<
equals=
​$nothing
Upper H 1H1​:
 
muμ
pp
sigmaσ
 
greater than>
not equals≠
equals=
less than<
​$nothing
​(Type integers or decimals. Do not​ round.)
(b) Explain what it would mean to make a Type I error. Choose the correct answer below.
 
The sample evidence led the researcher to believe the
standard 
deviation of deviation of
the monthly cell phone
bill
is
higher than higher than
​$48.93​,
when in fact the
standard deviation of
the
bill bill
is $48.93.
 
B.
The sample evidence led the researcher to believe the
standard deviation of
the monthly cell phone
bill
is
different from different from
​$ 48.93​,
when in fact the
standard standard
deviation of deviation of
the
bill bill
is
​$48.93.
 
C.
The sample evidence did not lead the researcher to believe the
standard deviation of
the monthly cell phone
bill bill
is
higher than higher than
​$48.93​,
when in fact the
standard deviation of
the
bill bill
is
higher than higher than
​$ 48.93.
 
D.
The sample evidence did not lead the researcher to believe the
standard deviation of
the monthly cell phone
bill
is
different from
​$48.93​,
when in fact the
standard standard
deviation ofdeviation of
the
bill bill
is
different fromdifferent from
​$48.93.
​(c) Explain what it would mean to make a Type II error. Choose the correct answer below.
 
 
A.
The sample evidence led the researcher to believe the
standardstandard
deviation of deviation of
the monthly cell phone
bill bill
is
different fromdifferent from
​$48.93​,
when in fact the
standard standard
deviation ofdeviation of
the
 bill
is
​$48.93.
 
B.
The sample evidence did not lead the researcher to believe the
standard standard
 of
the monthly cell phone
bill bill
is
different fromdifferent from
​$48.93​,
when in fact the
standard standard
deviation ofdeviation of
the
 bill
is
different from
​$48.93
 
C.
The sample evidence did not lead the researcher to believe the
standards
deviation of deviation of
the monthly cell phone bill
is
higher than
​$48.93,
when in fact the
standard standard
deviation of deviation of
the
bill 
is
higher thanhigher than
​$48.93.
 
D.
The sample evidence led the researcher to believe the
standardstandard
deviation ofdeviation of
the monthly cell phone bill is
different from
​$48.93,
when in fact the
standard deviation of
the
bill bill
is
different from
​$48.93.
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