A manufacturer produces humidifiers that have a mean life of at least 18000 hours when the production process is working properly.  Based on past experience, it is known that the population standard deviation is 800 hours and the distribution of the service lives of the humidifiers is normal.  The operations manager selects a random sample of 800 humidifiers, and the mean life of humidifiers is recorded. a. Suppose the population mean life is 18000 hours.  What is the probability that the sample mean life will be between 18050 and 17950 hours?  Keep at least 4 decimal places.     Probability is: b. Suppose the population mean life is 18000 hours.  Based on a random sample of 800 humidifiers, there is a 5% chance that the mean life of humidifiers will be above.. _____ hours use excel and the formula

Q: Suppose that the population IQ scores are normally distributed with mean value 100.0 and standard…

A: For the normally distributed IQ scores, it is given that: μ=100.0 and σ=15.0. For n no. of sampled…

Q: In a Statistics course the professor uses the following grading policy: the bottom 5% of students…

A: Given that  b .Find the probability that a randomly selected student gets an 80 or better? c.…

Q: A large population has a mean of 60 and a standard deviation of 8. A sample of 50 observations is…

A: GivenMean(μ)=60standard deviation(σ)=8sample size(n)=50

Q: Suppose that you want to determine the number of people who will attend a conference this year. In…

A: Given information: The investigator wants to determine the umber of people who will attend a…

Q: A significant number of students completed a Statistics exam, and the final marks had a mean of 70…

A: Answer - A significant number of students completed a Statistics exam, and the final marks had a…

Q: The spread or dispersion of a set of data about the mean will be large if the standard deviation is…

A: Solution

Q: The math department at a university gives all of the students in a certain math class the same final…

A: Let  denote the student score receive in the final exam.The random variable  follows a normal…

Q: A notable indicator of a baby's health is the weight gained in the first year of the baby's life.…

A: Given that Sample size =14 Sample mean =5904   Sample standard deviation =1611  For confidence level…

Q: The number of workers in six outlets of a fast-food restaurant is 12, 10, 11, 15, 12, and 14.…

A: Given data is12,10,11,15,12,14sample size(n)=6

Q: A certain dataset has the following values: Mean = 40; Median = 30; Mode = 30 What is the shape of…

A: It is an important part of statistics . It is widely used .

Q: Normal distribution. Assume the height of female 20-29 year-old is normally  distributed with a mean…

A: Note: As you have specifically asked for help with subparts d, e, and f, we have helped you solve…

Q: A boutique fitness studio would like to test whether their program is effective at weight loss. They…

A:

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: If the mean of a list of numbers is 16.7 and the standard deviation is 0,

A: Mean is a measure of central tendency. It is one of the most important measures to find out around…

Q: The population has a mean of 14 and a standard deviation of 3. The sample size of your sampling…

A:

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: Consider the following distribution of scores: 2,5,3,7,6,5. What is the mean?

A:

Q: A statistics professor announces that 15% of the grades he gives are As. The results of the final…

A: It is given that the mean and standard deviation are 83 and 6, respectively.

Q: r a standardized psychology examination intended for psychology majors, the historical data show…

A: Given: The corresponding z score can be calculated as: The distribution will be normal as the…

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: In a population, the mean is known to be 1.27 and the standard deviation is known to be 0.351.…

A: The population mean is 1.27; μ=1.27 The population standard deviation is 0.351;σ=0.351 The sample…

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A: Central limit theorem As per the Central limit theorem, the sampling distribution of sample mean…

Q: ketch a bell curve for the ACT composite data with markings on the horizontal axis for ±1 standard…

A: here given , For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2.

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: Given, 45% of these newts are born green. A random sample of size 167.

Q: The net weight of a can of salmon is a random variable with a mean of 6.21 ounces and a standard…

A: Solution

Q: Normal distribution. Assume the height of female 20-29 year-old is normally  distributed with a mean…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A population of scores has u=55 and o=15.  if 5 points are subtracted from every score in the…

A: The given data is μ = 55σ = 15 Suppose x1, x2, x3, x4, ..., xn are the data points…

Q: Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a…

A: From the given information we find the solution

Q: The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of…

A:

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A: (a) Obtain the mean of the sampling distribution of the sample mean. The mean of the sampling…

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…