2. Factory produces whiteboard markers. The production process can be modelling by normal distribution with a mean length of 11 cm and a standard deviation of 0.25 cm. (a) What is the probability that a randomly selected whiteboard marker has a length. longer than 10.5 cm? 100 whiteboard markers are randomly selected for quality checking. (b) What are the mean and standard deviation of the sample mean length? (c) What is the probability that the sample mean length will be between 10.99 cm. and 11.01 cm? (d) If 99.8% of the sample means are more than a specific length Y, find Y.

Q: Example: Hypertension - Suppose a sample of eight 35- to 39-year-old nonprenant, premenopausal OC…

A: Given information: The mean systolic blood pressure of non pregnant women are recorded among two…

Q: If the standard deviation of all 25 randomly selected samples from a normally distributed population…

A: We hvae  to find sample mean and population variance..

Q: (a) What is the probability that a randomly selected cylindrical metal bar has a length longer than…

A: here mean = 11 cm standard deviation = 0.25 cm X= length of cylindrical metal bar

Q: average height of a giraffe in 10.3 feet with a standard deviation of 2.5 feet. If you were to…

A: We have given that  Sample size n = 50 Population mean =10.3 Population standard deviation = 2.5

Q: a. What is the shape of the sampling distribution of š. - xp? Why? b. Find the mean and standard…

A: Let, XC : monthly cost of living expenses on California XF : monthly cost of living expenses on…

Q: A quality control company was hired to study the length of meter sticks produced by a certain…

A: Let we define X be the length of meter sticks produced by a certain company. The distribution of X…

Q: 4. According to past records, the average project completion time for a specific type of project of…

A: Let Project completion time = X mean of X = 32 weeks  Standard deviation of X = 12 weeks  Sample…

Q: 3 In a large city the distribution of incomes per family has a standard deviation of $5200. (i) For…

A: According to central limit theorem, if the population is normally distributed or sample size is at…

Q: 4. The height of adult males is normally distributed with a mean of 65 inches and a standard…

A: Mean(µ) = 65Standard deviations (σ) = 2.5X ~ N (µ, σ )= N(65, 2.5)

Q: A college has 220 full-time employees that are currently covered under the school's health care…

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

Q: The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student…

A: Given Observation and Calculation

Q: While there is much debate, several health authorities have concluded that a vitamin D level of 30…

A:

Q: 10. Waist circumference for adult men in the U.S. are normally distributed with mean 40.1 inches and…

A:

Q: 3. Dr. Eliplim Agbenoxevi works in the Quality Control Department of a large Information Technology…

A: Given dataDr. Eliplim agbenoxevi works in the quality control departementof large…

Q: A road averages 2,115 vehicles per day with a standard deviation of 485 vehicles per day. A traffic…

A:

Q: How does a sample size affect how close a normal distribution of either sample means or sample…

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

Q: A college has 260 full-time employees that are currently covered under the school's health care…

A: a. Define a random variable X, that is the out0of-pocket cost for the employees.

Q: What is the probability of getting a sample mean between 500 and 520 if the population mean is 500…

A:

Q: What is the formula for this standard deviation?   What does the central limit theorem say about the…

A: Solution:Standard deviation:The variation between each observation from its mean is known as…

Q: 1. The waiting time at the doctor's office has a normal distribution with a mean of 35 minutes and…

A: Given: μ=35 minutesσ=2.6 minutes

Q: A random sample of 16 junior managers in the offices of corporations in a large city center was…

A:

Q: The shape of the distribution of the time required to get an oil change at a 15​-minute ​oil-change…

A: Since the shape of the distribution is unknown, According to the central limit theorem (CLT), The…

Q: In a particular year, the percentage rates of return of U.S. common stock mutual funds had a normal…

A: Note: According to our guidelines we can answer only three subparts and rest can be repost.

Q: The average fee to attend a particular public sector university in a metropolitan area is $2,075…

A:

Q: 1. What is the mean and standard deviation of a 4-sided die rolled once ? 2. What is the sample mean…

A:

Q: The shape of the distribution of the time required to get an oil change at a 15 minute oil change…

A: Here we have μ = 16.2 min and Std (s) = 3.7min

Q: Suppose that we have a normal population with mean 7 and standard deviation 4.   What is the…

A: From the provided information, Mean (µ) = 7 Standard deviation (σ) = 4 Sample size (n) = 6

Q: 13. The mean income per person in the United States is $60,000, and the distribution of incomes…

A: National Average income =Hypothesized mean =  $60,000 Sample size, n = 10 sample mean income , x¯ =…

Q: what is the mean and stanadard deviation of a uniform (6,15) random variable?

A:

Q: Suppose that the heights of children in kindergarten can be described by a Normal model with mean…

A:

Q: The shape of the distribution of the time required to get an oil change at a 10-minute oil-change…

A:

Q: The shape of the distribution of the time required to get an oil change at a 10​-minute ​oil-change…

A: Given Mean time=11.3 minutes standard deviation=3.4 minutes (a) According to the CL Theorem, the…

Q: Suppose that the height of women in Dakar, Senegal is normally distributed with mean 58 inches and…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Records maintained by the office of budget in a particular state indicate that the amount of time…

A:

Q: 4. The Coffee Bean and Tea Leaf morning customer load follows a normal distribution with mean 45 and…

A:

Q: The shape of the distribution of the time required to get an oil change at a 10-minute oil-change…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes.…

A:

Q: 11 and the standard deviation is 1.5. (a)What is the probability of randomly selecting a man with a…

A:

Q: In a study of long distance telephone calls, it was found that the lengths of the calls are normally…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists…

A: Given information: μ=64, σ=16 a)  x = 64 By applying normal distribution:- z=x-μσ=64-6416=0 z = 0.0…

Q: The number of shots on goal in an amateur hockey league's games is normally distributed, with a mean…

A: Let X=the number of shots X follows a normal distribution with mean=56.3 and standard deviation= 8.1…

Q: According to the U.S. Census Bureau, the mean household income in the United States in 2000 was…

A:

Q: Suppose the current measurements made on a conductor wire track follow a normal distribution with…

A: Given, Suppose the current measurements made on a conductor wire track follow a normal distribution…

Q: ample of 22 randomly selected accounts, what is the distribution of the sample mean? What are the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Rosebushes are known to produce rose blooms during their blooming period. A botanist (plant expert)…

A: Given: The researcher (botanists) plans to examine the number of rose blooms during the blooming…

Q: If the mean and standard deviation of cell sap values for healthy plants are 120 and 15 micrograms…

A: According to central limit theorem, the sampling distribution follows the normal distribution if the…

Q: A random sample of size 40 is taken from a large population with mean 100 and standard deviation 16.…

A: Given, μ=100σ=16

Q: What would be the mean of the sampling distribution of all possible sample means obtained from this…

A: Given: μ=5σ=4