Question
In: Statistics and Probability
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,100. We randomly survey ten teachers from that district.
A. Give the distribution of ΣX. (Round your answers to two decimal places.)
ΣX - N ( , )
B. Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.)
C. Find the 80th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.)
D. Find the 80th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.)
Solutions
orchestra answered 2 years agoRelated Solutions
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $44,000 and a
standard deviation of $6,500. We randomly survey ten teachers from
that district.
1.Find the probability that the teachers earn a total of over
$400,000
2.If we surveyed 70 teachers instead of ten, graphically, how
would that change the distribution in part d?
3.If each of the 70 teachers received a $3,000 raise,
graphically, how would that change the distribution in part...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $44,000 and a standard
deviation of $6,500. We randomly survey ten teachers from that
district. Find the 85th percentile for the sum of the sampled
teacher's salaries to 2 decimal places.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $46,000 and a standard
deviation of $4,900. We randomly survey ten teachers from that
district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual
teacher's salary.
(b) Find the 90th percentile for the average teacher's
salary.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $46,000 and a standard
deviation of $4,500. We randomly survey ten teachers from that
district. (Round your answers to the nearest dollar.)
A) Find the 90th percentile for an individual
teacher's salary.
B)Find the 90th percentile for the average teacher's
salary.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $42,000 and a standard
deviation of $5,700. We randomly survey ten teachers from that
district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual
teacher's salary.
$ =
(b) Find the 90th percentile for the average teacher's
salary.
$ =
Salaries for teachers in a particular elementary school district are normally distributed with a mean of...
Salaries for teachers in a particular elementary school district
are normally distributed with a mean of $44,000 and a standard
deviation of $6,300. We randomly survey ten teachers from that
district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual
teacher's salary.
(b) Find the 90th percentile for the average
teacher's salary.
A typical adult has an average IQ score of 105 with a standard
deviation of 20. If 19 randomly selected adults are...
7.75 p. 428 Salaries for teachers in a particular elementary school district are normally distributed with...
7.75 p. 428
Salaries for teachers in a particular
elementary school district are normally distributed with a mean of
$44,000 and a standard deviation of $6,500. We randomly survey ten
teachers from that district.
a. In words, X = ______________
b. X ~ _____(_____,_____)
c. In words, ΣX = _____________
d. ΣX ~ _____(_____,_____)
e. Find the probability that the
teachers earn a total of over $400,000.
f. Find the 90th percentile for an
individual teacher's salary.
g. Find the...
Salaries for teachers in a particular elementary school district have a mean of $44,000 and a...
Salaries for teachers in a particular elementary school district
have a mean of $44,000 and a standard deviation of $6,500. We
randomly survey 36 teachers from that district.
Why can we say the sampling distribution of mean salaries for
teachers in this district is approximately normal?
Find the probability that the mean salary is less than
$43,000.
Find the probability that the mean salary is between $45,000
and $47,000.
A researcher claims that the mean of the salaries of elementary school teachers is greater than...
A researcher claims that the mean of the salaries of elementary
school teachers is greater than the mean of the salaries of
secondary school teachers in a large school district. The mean of
the salaries of a random sample of 26 elementary school teachers is
$48,250 and the sample standard deviation is $3900. The mean of the
salaries of 24 randomly selected secondary school teachers is
$45,630 with a sample standard deviation of $5530. At ? = 0.05, can
it...
A study was conducted to estimate the difference in the mean salaries of elementary school teachers...
A study was conducted to estimate the difference in the mean
salaries of elementary school teachers from two neighboring states.
A sample of 10 teachers from the Indiana had a mean salary of
$28,900 with a standard deviation of $2300. A sample of 14 teachers
from Michigan had a mean salary of $30,300 with a standard
deviation of $2100. Determine a 95% confidence interval for the
difference between the mean salary in Indiana and Michigan.(Assume
population variances are different.)
*Include...
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