A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is 3.7 strokes. State H0 and Ha in
Posted: Mon May 09, 2022 12:39 pm
A golf analyst claims that the standard deviation of
the 18-hole scores for a golfer is
3.7
strokes. State
H0
and
Ha
in words and in symbols. Then determine whether the hypothesis
test for this claim is left-tailed, right-tailed,
or two-tailed. Explain your reasoning.
Question content area bottom
Part 1
State the null hypothesis in words and in symbols. Choose the
correct answer below.
A.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ=3.7."
B.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is at least
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ≥3.7."
C.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is at most
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ≤3.7."
D.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is more than
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ>3.7."
Part 2
State the alternative hypothesis in words and in symbols. Choose
the correct answer below.
A.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is less than
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ<3.7."
B.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is not equal to
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ≠3.7."
C.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ=3.7."
D.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is more than
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ>3.7."
Part 3
The hypothesis test is
▼
right dash tailedright-tailed
two dash tailedtwo-tailed
left dash tailedleft-tailed
because the
▼
null hypothesisnull hypothesis
claimclaim
alternative hypothesisalternative hypothesis
contains
▼
not equals .≠.
equals .=.
less than .<.
less than or equals .≤.
greater than .>.
greater than or equals .≥.
the 18-hole scores for a golfer is
3.7
strokes. State
H0
and
Ha
in words and in symbols. Then determine whether the hypothesis
test for this claim is left-tailed, right-tailed,
or two-tailed. Explain your reasoning.
Question content area bottom
Part 1
State the null hypothesis in words and in symbols. Choose the
correct answer below.
A.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ=3.7."
B.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is at least
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ≥3.7."
C.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is at most
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ≤3.7."
D.The null hypothesis expressed in words is, "the standard
deviation of the 18-hole scores for a golfer
is more than
3.7
strokes." The null hypothesis is expressed
symbolically as,
"H0:
σ>3.7."
Part 2
State the alternative hypothesis in words and in symbols. Choose
the correct answer below.
A.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is less than
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ<3.7."
B.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is not equal to
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ≠3.7."
C.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ=3.7."
D.The alternative hypothesis expressed in words is, "the
standard deviation of the 18-hole scores for a golfer
is more than
3.7
strokes." The alternative hypothesis is expressed
symbolically as,
"Ha:
σ>3.7."
Part 3
The hypothesis test is
▼
right dash tailedright-tailed
two dash tailedtwo-tailed
left dash tailedleft-tailed
because the
▼
null hypothesisnull hypothesis
claimclaim
alternative hypothesisalternative hypothesis
contains
▼
not equals .≠.
equals .=.
less than .<.
less than or equals .≤.
greater than .>.
greater than or equals .≥.