The mass of a Grade A Gala apple is Normally distributed with mean 205 grams and standard deviation 5 grams. M1A1 packages of apples are intended to have no more than 2224 grams, but can exceed that mass 4% of the time. What is the maximum number, n, of these Gala apples that should be placed into one M1A1 package, so that the mass limit is exceeded less than 4% of the time. Justify your answer by giving the probability of your value of n and also for n+ 1.

Q: The time it takes to grade an test has a mean of 5.45 minutes and a standard deviation of 1.2…

A: Given that.   X~N( μ , ?)   μ=5.45    , ?=1.2   Z-score =( x - μ )/?

Q: Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol…

A: Given data: Mean =  51.8 mg/dL Standard deviation  = 14.3 mg/dL To find: Find the probability that…

Q: Q1/100 college students were surveyed and asked how many hours a week the spent studying the results…

A: Given that                   We have to find the probability that a student spent between 5 and 10…

Q: A farmer from Louisiana produces organic eggs. From previous observations, we know that the…

A: Given,Mean, grams Standard deviation, σ = 13 grams Sample size, n = 80According to central limit…

Q: The average employee in the U.S. spends m = 23 minutes commuting to work each day. Assume that the…

A: Given data, m=23 s=8

Q: There are 20 crew members at a given university. You want to calculate the probability that their…

A: 1.Suppose the random variable x defines the BMI of the crew members.

Q: The weight of trucks traveling on a particular section of I-475 has a population mean of 15.8 tons…

A: Central limit theorem: The central limit theorem implies that the distribution of the sample means…

Q: The weight of a species is normally distributed with a mean 126.9 and a standard deviation 4.3. What…

A:

Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…

A: Since the sample size is sufficiently large, and the population standard deviation is known, the…

Q: We are interested in the mean migration distance of Canadian geese. Suppose that we know that the…

A: Sample size n =25 Population mean μ =2500 Population standard deviation =250

Q: the mean for test 1 is 50. and the standard deviation is 7. then the probability that a group of 49…

A: Mean(μ)=50 standard deviation(σ)=7

Q: From a sample of 100 crates of tomatoes, the average weight per crate was 18 pounds, with a standard…

A: Given : Sample size (n) = 100 Average weight (X¯)= 18 pounds S.D (S) = 5 pounds Confidence interval…

Q: builtrite has calculated average weekly daily sales to be 80000 with a standard deviation of 12000.…

A: Mean()=80000standard deviation()=12000 one store manager made a bet with another store manager that…

Q: The total snowfall per year in Laytonville is normally distributed with mean 99 inches and standard…

A:

Q: The average weight of oranges in a box was 74 g and the standard deviation was 12 g. Calculate the…

A:

Q: If a probability or 2 place decimal like area is found to be 077 or - 1.09 0.4377, what is the z…

A:

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: 2. The average gas mileage of an Audi A5 Cabriolet car is 39.5 miles per gallon. If the gas mileages…

A: given information According to given question random variable (x = average gas mileage) follows…

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: Given,sample size(n)=33mean(μ)=5.97standard deviation(σ)=0.1

Q: following table. Procurement Cost($) 10 11 12 on is Probability 0.25 0.45 0.30 Labor Cost ($) 20 22…

A: Given data: Procurement cost Probability Labor cost Probability Transportation cost Probability…

Q: 4. The income of employees at Casio Inc. are normally distributed with a mean of $ 2300 and a…

A: GivenMean(μ)=2300standard deviation(σ)=25

Q: The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56…

A: From the provided information, Mean (µ) = 161 Standard deviation (σ) = 4.56 X~N (161, 4.56)

Q: For a population mean of 35, a sample was taken with a mean value of 40 and sample size equal to 30.…

A: Given data,μ=35σ=20x=40n=30P(X>40)=?

Q: A nutritionist asks a client to record the number of calories he consumes each day for 6 months. The…

A:

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A:

Q: 3. A student's chances of being accepted to Harvard are about 5%. What is the probability that only…

A: One of the significant distributions under discrete probability distribution is the binomial…

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: Assume that μ is the true average time the medicine relives pain.

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: The weight of all 5 pound bags of flour is Normally distributed with mean 5 pounds and standard…

A: Solution: Let X be the weight of all 5 pound bags of flour. From the given information, X follows…

Q: The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56…

A: Answer: From the given data, Let X: heights of students X is normally distributed with Mean (μ) =…

Q: According to the Niesien Company the mean number of TV sets in a US household in 2013 was 2.24…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Suppose that a truck has a legal load carrying capacity of 10,000 lbs. We want to load product, with…

A: Given that a truck has a legal load-carrying capacity of 10,000 lbs. The load product onto the truck…

Q: A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a…

A:

Q: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.

Q: An instructor gives a test to a class containing several hundred students. It is known that the…

A:

Q: Christopher has collected data to find that the total snowfall per year in Laytonville has a normal…

A:

Q: Based on record, the mean weight of the newborn babies is 4.8lbs with a standard deviation of…

A:

Q: The director of research and development is testing a new drug. She wants to know if there is…

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.