Question

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.

H_{o
: }H_{1:}

- State the decision rule.

- Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis?

Answer #1

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...

Salary data from two random samples of high school teachers are
shown to the right. Also shown are the population standard
deviations.
Construct a 90% confidence interval to estimate the difference
in the average salaries of the high school teachers in these two
states.
b. Based on the results in part? a, can you
conclude that a difference exists in the average? salaries?
state A
state B
sample mean
52,236
57,231
sample size
43
49
population standard deviation
6207
6671...

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 teacher claimed that the average salary for teachers in her
state is lower than the other states.
She created a survey and found that in her state 81 teachers were
making an average salary
$42,000 per year with a sample standard deviation of 2,500. Using
that sample, test the claim that
teachers in her state are making less than the national average of
$45,000. Use a 0.01 level.

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....

An audit firm thinks that the average annual salary of a senior
level accountant at a construction company exceeds
$95,000. A random sample of 28 accountants in similar roles reveals
an average salary of $96,000 with a sample standard deviation of
$1500. Assume the salaries of the managers are normally
distributed. (alpha = 0.10)
State the Null Hypothesis:
State the Alternate:
State the significance level & one or two tailed:
State the statistic:
State the Decision Rule:
Perform the Calculation...

8 Suppose the average high school teachers annual salary is
$53,000. Assume teacher salary is normally distributed with a
standard deviation of $19,000. What percent of high school teachers
make between $51,000 and $55,000

A recent national survey found that high school students watched
an average (mean) of 7.6 DVDs per month with a population standard
deviation of 0.5 hours. The distribution of times follows the
normal distribution. A random sample of 61 college students
revealed that the mean number of DVDs watched last month was 7.0.
At the 0.01 significance level, can we conclude that college
students watch fewer DVDs a month than high school students? Use α
= 0.01. a. State the...

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