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 (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. You can use α = .10.

60 56 60 55 70

Part A: Solve for ?̅ :

Part B: Solve for s:

Part C: State ho and h1:

Part D: Solve for Critical Values t α/2:

Part E: Calculate

Part F: Apply Decision Rule to determine if ho should be accepted or rejected:

Part G: Summary Statement:

Answer #1

Part A Mean

Now for standard deviation s

Create the following table.

data | data-mean | (data - mean)2 |

60 | -0.2 | 0.040000000000001 |

56 | -4.2 | 17.64 |

60 | -0.2 | 0.040000000000001 |

55 | -5.2 | 27.04 |

70 | 9.8 | 96.04 |

Find the sum of numbers in the last column to get.

Part C Now and

Part D

The t-critical value for a left-tailed test, for a significance level of α=0.10 is

tc=−1.533

*Graphically*

Part E t-value

Part F:As t value is not in the rejection area we fail to reject the null hypothesis.

Part G: We do not have sufficient evidence to support the claim.

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...

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...

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...

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....

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