**Teachers’ Salaries in Connecticut** The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7,500. Round intermediate z-value calculations to two decimal places and the final answers to at least four decimal places.**Part: 0 / 2****Part 1 of 2**(a) What is the probability that a randomly selected teacher makes less than $42,000 per year?\[ P(X < 42,000) = \][Input box]**Explanation:** This problem requires calculating the probability of a teacher's salary being less than $42,000 when the salaries are normally distributed. You should use the z-score formula to find the z-value and then determine the probability using the standard normal distribution table.

Answered: Teachers' Salaries in Connecticut The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Teachers' Salaries The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part 1 of 2 (a) A randomly selected teacher earns between $37,000 and $45,000 a year. P (37,000
Automobile Workers A worker in the automobile industry works an average of 42.7 hours per week. If the distribution is approximately normal with a standard deviation of 1.9 hours, what is the probability that a randomly selected automobile worker works less than 40 hours per week? Use a TI-83 Plus/TI-84 Plus calculator. Round the answer to at least four decimal places. P(X<40) =
Automobile Workers A worker in the automobile industry works an average of 42.2 hours per week. If the distribution is approximately normal with a standard deviation of 1.4 hours, what is the probability that a randomly selected automobile worker works less than 40 hours per week? Use a TI-83 Plus/TI-84 Plus calculator. Round the answer to at least four decimal places. P(X<40) =
Multiple questions
High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 460 and a standard deviation of 114 . Round the final answers to the nearest whole number and intermediate z -value calculations to 2 decimal places. (a)The top 6% of students receive $500 . What is the minimum score you would need to receive this award? The minimum score needed to receive the award is .
High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 385 and a standard deviation of 98. Round the final answers to the nearest whole number and intermediate Z-value calculations to 2 decimal places. Part: 0/2 Part 1 of 2 (a) The top 3% of students receive $500. What is the minimum score you would need to receive this award? The minimum score needed to receive the award is
Prison Sentences The average prison sentence for a person convicted of second-degree murder is 16 years. If the sentences are normally distributed with a standard deviation of 1.8 years, find the following probabilities. Use a TI-83 Plus/TI-84 Plus calculator. Round the answers to at least four decimal places. Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 (a)A prison sentence is greater than 19 years. P>X19 = ??
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in a certain state is $792. Suppose that the distribution of contributions is normal with a standard deviation of $103. Find the limits for the middle 56% of contributions. Round z-value calculations and final answers to 2 decimal places. The lower and upper limits for the middle 56% of contributions are respectively $ and $ X Ś
Ages of Proofreaders At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. Assume the variable is normally distributed. Round intermediate z-value calculations to two decimal places and the final answers to at least four decimal places. Part 1 of 2 If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5 years. P (36 < X < 37.5) = 0.1589 Part: 1 / 2 Part 2 of 2 G If a random sample of 22 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years. Assume that the sample is taken from a large population and the correction factor can be ignored. P (36 < X <37.5) = X

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