Question

In: Statistics and Probability

Suppose that salaries of recent graduates from a large state university are normally distributed with mean...

Suppose that salaries of recent graduates from a large state university are normally distributed with mean $45,000 and standard deviation $4,200. (1) What proportion of salaries are between $40,000 and $55,000? (2) What two salaries bound the middle 40%?

Solutions

Expert Solution

  • Please check attachment   


Related Solutions

A university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates...
A university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates returned the survey. The average salary was $25,000. The population standard deviation was $2,500. What is the 90% confidence interval for the mean salary of all graduates from the English Department? A) [$24,794, $25,206] B) [$24,988, $25,012] C) [$22,500, $27,500] D) [$24,755, $25,245]
A university surveyed recent graduates of the English department for their starting salaries. Three hundred graduates...
A university surveyed recent graduates of the English department for their starting salaries. Three hundred graduates returned the survey. The average salary was $25,000. The sample standard deviation was $1,500. What is the 95% confidence interval for the mean salary of all graduates from the English department?
Salaries for new assistant professors at State College are normally distributed with a mean of   $80000  ...
Salaries for new assistant professors at State College are normally distributed with a mean of   $80000   and a standard deviation of   $9000 . We randomly survey   20 teachers from that district, let   X   be the salary of a randomly selected teacher at State, and let   X¯   be the average salary of   20   randomly selected teachers. (2%)   X∼    (pick one) BinomialNormalPoissonUniform   ( , ) . (3%)   X¯∼    (pick one) BinomialNormalUniformPoisson   ( , ) . (3%) Find the probability that an individual teacher earns...
Salaries for new assistant professors at State College are normally distributed with a mean of $50000...
Salaries for new assistant professors at State College are normally distributed with a mean of $50000 and a standard deviation of $6000 . We randomly survey 10 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X¯ be the average salary of 10 randomly selected teachers. (2%) X∼ ( , ) . (3%) X¯∼ ( , ) . (3%) Find the probability that an individual teacher earns more than $65,000. P(X>65000)=...
Assume that 40% of graduates come from University A and and earn salaries of 30,000 on...
Assume that 40% of graduates come from University A and and earn salaries of 30,000 on average with a standard deviation of 5,000. The remainder come from University B and earn salaries of 25,000 on average with a standard deviation of 7,500. If you are told that a graduate is earning less than 35,000, what is the probability that they came from University A? (Assume salaries are normally distributed.)
The starting salaries of individuals with an MBA degree are normally distributed with a mean of...
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $90,000 and a standard deviation of $20,000. Suppose we randomly select 16 of these individuals with an MBA degree. What is the standard deviation of the average starting salary for these individuals? a. $4,000 b. $5,000 c. $20,000 d. $1,666.67
The starting salaries of individuals with an MBA degree are normally distributed with a mean of...
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $90,000 and a standard deviation of $20,000. Suppose we randomly select 16 of these individuals with an MBA degree. What is the probability that the average starting salary for these individuals is at least $85,800? 0.7995 0.9131 0.2005 -0.2611
The annual salary of fresh college graduates is thought to be normally distributed with a mean...
The annual salary of fresh college graduates is thought to be normally distributed with a mean of $45,000 and standard deviation of $8000. Do the following. (a) What is the z −score of the salary of $55,000? (10 points) (b) If you randomly select such a graduate, what is the probability that he/she will be earning a salary of $55,000 or less? (Use z −score and Excel function to calculate this) (10 points) (c) If you randomly select such a...
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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT