The population average annual salary for high school teachers in Alhambra is $61,244. A random sample of 31 teachers from Alhambra is selected from this population. What is the probability that the average annual salary of the sample is less than $62500.  Assume that the population standard deviation is $4050. Leave your answer in 3 decimal places.

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: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

A:

Q: Solve the following. Show your complete solution. The average price of a kilogram of ham is ₱1,200.…

A: Given,sample size(n)=30mean(μ)=1200standard deviation(σ)=140

Q: Temperatures in a city are distributed approximately normal, with a mean of 73 degrees fahrenheit…

A:

Q: The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of…

A: Let X= charges of plumbers in the Denver area Given that X follows a normal distribution with mean=…

Q: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let  X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that…

A: The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that…

Q: The probability that it snows in a particular city on any given winter day is 13%. What is the…

A: Given that the probability that it snows in a particular city on any given winter day is 13%. Let,…

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A: The number of egg consume are normally distributed with a mean 293.6 and a standard deviation of…

Q: Suppose students' ages follow a skewed right distribution with a mean of 25 years old and a standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Assume that the heights of women are normaly distributed with a mean of 63.6 inches and a standard…

A: Given,   Mean = 63.6 Standard deviation = 2.5 Sample size = 100   The objective is to find the…

Q: The owner of a computer repair shop has determined that their daily revenue has mean$7200 and…

A: From the provided information,

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 weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

A:

Q: The length of time it takes college students to find a parking spot in the library parking lot…

A:

Q: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

A: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A:

Q: Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8…

A: Given that  Mean = 8 Standard deviation = 2 Find P(X = 8 )

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

A: Given information:

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the…

A: Let us assume that X=score of a quizX follows a normal distribution with mean=24 and standard…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: c. What is the probability that a randomly selected tax return refund will be between $3200 and…

A: given dataμ=3142σ=926normal distribution

Q: The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the…

A: Given that  Mean = M = 57337 Standard deviation = SD = 7500 X ~ Normal ( M = 57337 , SD = 7500 )…

Q: furnace bills are normally distributed.  With a mean of 273 and an SD of 30.  If 144 bills are…

A: Let M denote the mean of sample of n = 144 bills. Then M follows N(mean = 273, SD = 30/√(144) = 2.5)…

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 newly-hired school registrar in a Science High School would like to determine the overall…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: Let X = IQ of an individual.  The probability that the person has an IQ greater than 140.

Q: Provide an appropriate response. Use the Standard Normal Table to find the probability.   IQ test…

A: Solution :- Given data :- μ = 105σ = 13x ^ = 122 Using Z-Score Formula :- z=x^-μσ

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A:

Q: The average high temperature in Anchorage, AK in June is 63°F with a standard deviation of 1.6°F.…

A:

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: For the distribution (specified to be normal) of the hourly wage (in ) for manufacturing workers in…

Q: Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard…

A:

Q: For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the…

A:

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.