A recent study of teacher salaries in rural areas showed that the average salary was $30,000/year with a standard deviation of $3,000. A) If one teacher is chosen at random, find the probability that the teacher earns more than $34,000/year. Express answer in decimal. B) Using the same salary and standard deviation, find the probability that 15 teachers chosen at random will earn LESS than $32,00/year. Express answer in decimal. C) Using the same average salary and standard deviation, find the probability that 21 teachers chosen at random will earn less than $29,000/year. Express answer in decimal.

Q: 6. The size of fish is very important to commercial fishing. A study conducted in 2012 found the…

A: From the provided information, Mean (µ) = 42.1 cm Standard deviation (σ) = 2.98 cm X~N (42.1, 2.98)…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: Two out of 8 students at a local college say that they skip dinner in the evening. Find the mean,…

A: Given that  Success of probability p =2/8=0.25 Number of trials n=20 X~binomial (n,p)

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7000 and…

A:

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: # Given: salary of workers follow normal distribution with mean mu=$60000 and standard deviations…

Q: A research firm conducted a survey to determine the average amount of money consistent smokers spend…

A: We have given that,  Let X be a random variable from normal distribution with mean(μ) = 20 and…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Solution: Let X be the salary for workers at a company. From the given information, X follows normal…

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Solution

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: The population mean for the average weigh of 12 year old children is 102 pounds and the population…

A: Solution: Let X be the weight of 12 year old children. From the given information, µ=102 pounds,…

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

A:

Q: According to The World Bank, only 9% of the population of Uganda had access to electricity as of…

A:

Q: The amount of revenue of a shop is approximately normally distributed with a mean of $4500 and a…

A: We have to find out given probability..

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15…

A: Given information:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A pet store has 500 rats whose weights have a mean of 16oz with a standard deviation of 1.1 oz. You…

A: Given Data Population Mean,μ = 16.0 Population Standard Deviation,σ = 1.1 sample…

Q: The average amount of snow per year in Whiteville is 32 inches. The standard deviation is 4 inches.…

A:

Q: Full time Ph.D. students receive an average of $13,537 per year. If the average salaries are…

A: Introduction: Define X as the random variable of interest here, which denotes the salary of the…

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: Given, Salaries of the teacher follow normal distribution with mean $41,000 and standard deviation…

Q: A highway engineer who is studying the number of accidents at a busy intersec- tion has determined…

A: The number of accidents occurring at a busy intersection follows a Poisson distribution. This is…

Q: A final exam in science 160 has a mean of 73 with a standard deviation of 7.8. If 25 students are…

A: Given information- Population mean, µ = 73 Population standard deviation, σ = 7.8 Sample size, n =…

Q: The sales of a salesman average $500 with a standard deviation of $15.2. He gets a $100 commission…

A: The sales of a salesman average $500 with a standard deviation of $15.2. He gets a $100 commission…

Q: A survey indicates that for each trip to the supermarket, a shopper spends an average of 45 minutes…

A: Given that, The lengthsnof time spent in the store are normally distributed and are represented by…

Q: A survey was given to people living in Broward County. The county randomly collected the income…

A: given data  μ = 100000 $σ = 10000 $P(90000<x<110000) = ?

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Given  Mean = 60000 Standard deviation = 9000 Sample size = 36 Z score formula = (x -mu)/s/√n

Q: Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures…

A: Given information- For the year 2001- Population mean, µ = $235 Population standard deviation, σ =…

Q: 2. Fill in the blanks: A standardized variable always has a mean of O and a standard deviation of…

A: 2. A standardized variable is always has mean 0 and standard deviation of 1.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A:

Q: The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard…

A: Z= x¯-μσn~N(0,1) n  = 36 , x¯ = 98.6 , μ = 98.6 , σ = 0.6

Q: 3) An F-1 race has an average length of 305 kilometers with a standard deviation of 72 kilometers.…

A:

Q: An elevator has a weight capacity of 2000 pounds. Assume the weights of us men have a mean of 190…

A: The probability the elevator will be over capacity is obtained below:From the given information X…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a…

A: Given: i. Calculate the corresponding Z score as follows: The diagram corresponding to the mean…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: A highway engineer who is studying the number of accidents at a busy intersec- tion has determined…

A: The number of accidents occurring at a busy intersection follows a Poisson distribution. This is…

Q: 1, the mean number of goldfish in the package is 187. find the probability of choosing a package…

A: Thanks for posting the question. Since multiple questions are posted, we will answer one question…

Q: The average amount customer spend yearly at a local grocery store is $635.55 .  Assume the variable…

A: Mean(µ) = $635.55Standard deviations (σ) = $94.41X ~ N (µ, σ )= N(635.55,94.41)

Q: A dice is rolled three times a. Find the probability of getting exactly 2 fours  b. Find the mean,…

A: Let X be a random variable from Binomial distribution with parameter n and p. Mean = np  Variance=…

Q: etermine the probability distribution for the number 3 showing in 8 rolls of a standard die. Find…

A: Given data, Number of rolls n=8 The probability of getting 3 is p=16 Find the Mean & Standard…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.