Question
In: Statistics and Probability
A SRS of 10 teachers has a mean weekly salary of 820 and standard deviation 25,...
A SRS of 10 teachers has a mean weekly salary of 820 and standard deviation 25, and a SRS of 9 nurses has a mean weekly salary of 840 and standard deviation 35. Assuming weekly salaries for both teachers and nurses are normally distributed. Is there evidence that the mean salaries for the two professions different? Use a = .05.
Solutions
orchestra answered 2 years agoRelated Solutions
The population mean annual salary for high school teachers is $64,500 and the standard deviation is...
The population mean annual salary for high school teachers is
$64,500 and the standard deviation is $7,800. A random sample of 50
teachers is obtained from this population.
1. is this sample normally distributed? why or why not?
2. What is the probability that the mean salary is less than
$61,500?
3.Write the entire STATCrunch or calculator
instructions/commands you use to solve this problem. Use the
appropriate probability statement (ex. ?(? ≤ 2) = .20) when
expressing your answer.
4.Is...
The population mean annual salary for high school teachers is $64,500 and the standard deviation is...
The population mean annual salary for high school teachers is
$64,500 and the standard deviation is $7,800. A random sample of 50
teachers is obtained from this population. 1. is this sample
normally distributed? why or why not? 2. What is the probability
that the mean salary is less than $61,500? 3.Write the entire
STATCrunch or calculator instructions/commands you use to solve
this problem. Use the appropriate probability statement (ex. ?(? ≤
2) = .20) when expressing your answer. 4.Is...
10. The population mean of annual salary for plumbers is $46,700, with a standard deviation of...
10. The population mean of annual salary for plumbers is
$46,700, with a standard deviation of $5600. A random sample of 42
plumbers is drawn from this population. Find the probability that
the mean salary of the sample is (a) less than $44,000. (b) between
$40,000 and $51,000 (c) more than $55,000
The annual salary of teachers in a certain state has a mean of μ = $...
The annual salary of teachers in a certain state has a mean of μ
= $ 54,000 and standard deviation of σ = $ 5,000 .
What is the probability that the mean annual salary of a random
sample of 5 teachers from this state is more than $60,000?
A population of 40 year-old females has a mean salary of $39,321 with a standard deviation...
A population of 40 year-old females has a mean salary of $39,321
with a standard deviation of $2,120. If a sample of 100 women is
taken:
a) What is the probability their mean salaries will be less than
$39,000?
b) What is the probability their mean salaries will be between
$38000 and $39,000?
A population has a mean of 50 and a standard deviation of 10. If a random...
A population has a mean of 50 and a standard deviation of 10. If
a random sample of 36 is taken, what is the probability that the
sample mean is each of the following?
a. Greater than 54
b. Less than 53
c. Less than 46
d. Between 48.5 and 52.5
e. Between 50.4 and 51.7
(Round the values of z to 2 decimal places. Round your answers
to 4 decimal places.)
a. Upper P left-parenthesis x Overscript bar EndScripts...
The mean salary at a local industrial plant is $27,700 with a standard deviation of $4400....
The mean salary at a local industrial plant is $27,700 with a
standard deviation of $4400. The median salary is $27,100 and the
58th percentile is $28,800.
1. True or false: Approximately 58% of the salaries are above
$28,800.
2. True or false: Joe's salary of $32,540 is 1.10 standard
deviations above the mean
3. True or false: The percentile rank of $27,300 is 50
4. True or false: Approximately 8% of the salaries are between
$27,100 and $28,800
5....
. In a large corporation the mean entry level salary is $27,000 with a standard deviation...
. In a large corporation the mean entry level salary is $27,000
with a standard deviation of σ = 6,000. The entry level salaries
for a random sample of 15 employees with only high school degrees
is X ̅ = $24,100 . Do people with only high school degrees earn
less than the rest of the company? Conduct a one-tailed hypothesis
test with = .05.
2a. The hypothesis test should be... (highlight one) (1 point)
a) one-tailed (directional) b)...
The mean salary of people living in a certain city is $37,500 with a standard deviation...
The mean salary of people living in a certain city is $37,500
with a standard deviation of $2,348. A sample of 62 people is
selected at random from those living in the city.
Find the probability that the mean income of the sample is
within $500 of the population mean.
Round your answer to 4 decimal places.
A population distribution of score has a mean = 100 and a standard deviation of 10....
A population distribution of score has a mean = 100 and a
standard deviation of 10. Researchers plan to take a sample size of
N=25. Based on the central limit theorem, 68.26% of all possible
means are between the sample means of ______
A) 90 and 100
B) 95 and 100
C) 98 and 102
D) 97 and 103
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