Question

Statistic

**An educator claims that the average salary of substitute
teachers in school districts is less than $60 per day. A random
sample of 8 school districts is selected, and the daily salaries
are 60, 56, 60, 55, 70, 55, 60, and 55. Is there enough evidence to
support the educator’s claim at 10% level of significance? (HELP:
The sample mean is 58.88, and the sample standard deviation is
5.08)**

** A ) State the hypotheses and identify the
claim.**

A) H_{0}: µ=60, Ha: µ>60
claim
B) H0: µ=60, Ha: µ < 60 claim

C) H0: µ>60, Ha: µ=305 claim D) H0: µ<60, Ha: µ=305 claim

**Find the critical value**

A) -1.415 B) 1.96 C) 2.55 D) 2.58

**B )Compute the test value.**

A) 1.65 B) 1.96 C) -0.624 D) 2.33

**C) Make the decision.**

A) Do not Reject H_{0}
B)
There is sufficient evidence to reject H_{0}

C) None of the above

Answer #1

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An educator claims that the average salary of substitute
teachers in school districts in Allegheny County, Pennsylvania, is
less than $60 per day. A random sample of ? = 8 school districts is
selected, and the daily salaries (in dollars) are shown.
60, 56, 60, 55, 70, 55, 60, 55
Assume the variable is normally distributed. Is there enough
evidence to support the
educator’s claim at ? = 0.10? Use R statistical software to
calculate.
a) Report the test statistic...

An educator claims that the average salary of substitute
teachers in school districts in Allegheny County, Pennsylvania is
less than $65 per day. A random sample of eight schools districts
is selected and the daily salaries are shown below. Is there enough
evidence to support the educator’s claim? Perform the appropriate
hypothesis test using a significance value of 0.05.
.
65
68
64
63
65
59
63
58
Find the p-value for the above hypothesis test.
What do you...

The Allegheny County, Pennsylvania school district states that
the average salary of substitute teachers in school districts in
Allegheny County, Pennsylvania, is $60 per day. A disgruntled
teacher believes the salary is actually less than this
amount. A random sample of five school districts is selected,
and the daily salaries (in dollars) are shown. Based on the
evidence below, does it look like the disgruntled teacher is
correct? Note: In your summary statement, remember to comment on
the italicized phrase....

The Allegheny County, Pennsylvania school district states that
the average salary of substitute teachers in school districts in
Allegheny County, Pennsylvania, is $60 per day. A disgruntled
teacher believes the salary is actually less than this
amount. A random sample of five school districts is selected,
and the daily salaries (in dollars) are shown. Based on the
evidence below, does it look like the disgruntled teacher is
correct? Note: In your summary statement, remember to comment on
the italicized phrase....

26. The Allegheny County, Pennsylvania school district states
that the average salary of substitute teachers in school districts
in Allegheny County, Pennsylvania, is $60 per day. A disgruntled
teacher believes the salary is actually less than this amount. A
random sample of five school districts is selected, and the daily
salaries (in dollars) are shown. Based on the evidence below, does
it look like the disgruntled teacher is correct? Note: In your
summary statement, remember to comment on the italicized...

The engineering school at a major university claims that 25% of
its graduates are women.
In a graduating class of 210 students, 43 were females. Does
this suggest that the school is
believable? Use α = 0.10.
A.
P-value = 0.0028 < 0.02; reject H0; There is enough evidence
to reject the claim that is 25%.
B.
P-value = 0.0650 > 0.05; do not reject H0; There is enough
evidence to support the claim that is 25%.
C.
P-value =...

The engineering school at a major university claims that 36% of
its graduates are women. In a graduating class of 210 students, 90
were females. Does this suggest that the school is believable? Use
α = 0.10.
A.
P-value = 0.0558 < 0.05; reject H0; There is enough evidence
to reject the claim that is 36%.
B.
P-value = 0.0384 > 0.01; do not reject H0; There is enough
evidence to support the claim that is 36%.
C.
P-value =...

Does the disgruntled teacher have a case against the school
system that average salaries are really lower or was their evidence
just a fluke?
This is reference to this question:
The Allegheny County, Pennsylvania school district states that
the average salary of substitute teachers in school districts in
Allegheny County, Pennsylvania, is $60 per day. A disgruntled
teacher believes the salary is actually less than this amount. A
random sample of five school districts is selected, and the daily
salaries...

The recidivism rate for convicted sex offenders is 55%. A warden
has implemented a new therapy with the hope that the rate will
decrease. Of the 280 convicted sex offenders who had the new
therapy before being released, 142 of them became repeat offenders.
What can be concluded at the 0.05 level of significance?
H0: p = 0.55
1. Ha: p__0.55: a. >
b. <
c. Not equal to
2. Test Statistic: a. 1.81
b. -1.44
c. -1.31
d. 2.62...

The manufacturer of a refrigerator system produces refrigertors
that are supposed to maintain a mean temperature of 48F. A customer
does not agree with the manufacturer and claims that the
refrigerators are not maintaining the advertized temperature.
(a) (2 points) What are the appropriate null and alternative
hypotheses to test the manufacturer’s claim? A. H0 : µ < 48, Ha
: µ > 48 B. H0 : µ 6= 48, Ha : µ = 48 C. H0 : µ =...

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