Question

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 conclude using the p-value?

Answer #1

Calculating the sample mean, sample standard deviation for the
given sample, we get

= 63.125 ,
3.27 , n=8

For the given problem,

Null hypothesis:

Alternate hypothesis:

Since we have unknown population standard deviation and the sample size is less than 30, we use the one sample t test.

Substituting the values = 63.125 , 3.27 , n=8 we get

t = -1.6215

For df of 7 (n-1), significance value of 0.05 and considering left tailed t test, we get a t critical value or p value of -1.895.

Since the calculated value of t (-1.6215) is greater than the p
value (-.1.895), **we cannot reject the null
hypothesis.**

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...

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...

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....

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 average salary of a sample of 14
teachers in a school building with a Master Degree is $32,741 with
a standard deviation of $5 800. A sample of 12 teachers
in the same building without Master Degrees have an average salary
of $27,839 with a standard deviation of $7400. At the 0.01
significance level, do teachers with Master Degrees have higher
salaries?
a. State the null
and alternate hypotheses.
Ho
: H1:
State the decision rule.
Compute the value of the test...

Solve in steps
The mean yearly salary for high school teachers in Texas is
$48,723. Suppose that a random sample of 50 teachers in a specific
district has a mean offer of $49,840 and a standard deviation of
$3700. Do the sample data provide strong support for the claim that
mean salary for the district is higher than the state average? Test
the relevant hypotheses using a = 0.05
Step 1: Null Hypothesis and Alternative Hypothesis
Step 2: Value for...

A researcher is interested in whether salaries for middle school
teachers were less than salaries for nurses in Arkansas. A
statewide salary survey is conducted using random sampling.
The Data Analysis output for the various tests used when
comparing two group means are shown below. The significance level
was .05.
F-Test Two-Sample for Variances
Teachers
Nurses
Mean
45946.07
53365.13
Variance
68256753
86820446
Observations
300
300
df
299
299
F
0.7862
P(F<=f) one-tail
0.0190
F Critical one-tail
0.8265
t-Test: Paired Two...

McFarland Insurance Company knows that the average cost to
process a claim for their company is currently $60. Given the
economic conditions they initiated cost-cutting measures. To
evaluate the effectiveness of these measures after six months,
McFarland selected at random 26 claims and determined the cost to
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$45
49
62
40
43
61
48
53
67
63
78
64
48
54
51
56
63
69
58
51
58
59
56
57
38...

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