##### 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 ( , )

##### 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...
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##### A study was conducted to determine if the salaries of elementary school teachers from two neighboring...
A study was conducted to determine if the salaries of elementary school teachers from two neighboring districts were equal. A sample of 15 teachers from each district was randomly selected. The mean from the first district was $28,900 with a standard deviation of$2300. The mean from the second district was $30,300 with a standard deviation of$2100. Assume the samples are random, independent, and come from populations that are normally distributed. Construct a 95% confidence interval for μ1 -...
##### In one school district, there are 89 elementary school (K-5) teachers, of which 18 are male (or male-identifying).
In one school district, there are 89 elementary school (K-5) teachers, of which 18 are male (or male-identifying). In a neighboring school district, there are 102 elementary teachers, of which 17 are male. A policy researcher would like to calculate the 99% confidence interval for the difference in proportions of male teachers.To keep the signs consistent for this problem, we will calculate all differences as p1−p2. That is, start with the percentage from the first school district and then subtract...