A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places. (a) The bag is exactly 750 grams (b) The bag is less than 1225 grams (c) The bag is more than 700 grams

Q: From the manufacturer, he knows the distribution of pizza temperatures is normally distributed.  He…

A: Let X be the pizza temperature

Q: 6. The average credit card debt for college seniors is $ 3262. If the debt is normally distributed…

A:

Q: According to the American Time Use Survey, Americans age 15 and over spend an average of 2.45 hours…

A: Given : mean = 2.45 standard deviation = 1.14

Q: A company advertises that the batteries it sells is normally distributed with a mean life of 20…

A:

Q: No distibilor believes the amount of beer in a 12-ounce can of beer has a normal ibution with a mean…

A: A beer distributor believes that amount of beer in a 12 ounce can of beer has a normal distribution…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.4…

A: We want to find the probability  P(x<16.5) We have given that normally distributed length, with a…

Q: According to the Current Results website, the state of California has a mean annual rainfall of 23…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.7 inches,…

A: Given that, A manufacturer knows that their items have a normally distributed length with, Mean =…

Q: A machine dispenses juice into bottles and the fill levels are normally distributed with a mean of…

A:

Q: nufacturer knows that their items have a normally distributed length, with a mean of 10.6 inches,…

A: Given data,Mean μ=10.6sd  σ=2P(X<10.4)=?

Q: The average credit card debt for college seniors is $ 3262. If the debt is normally distributed with…

A: Solution: Let X be the debt. From the given information, X follows normal distribution with mean…

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Xi : length of the ith nail. Given that Xi ~ N(5,0.512) So, sample mean, X ~ N(5,0.512/114)

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 6.1…

A: Given: Length of items = X X distribution is skewed towards right mean of X= 6.1 inches standard…

Q: A company advertises that the batteries it sells is normally distributed with a mean life of 25…

A:

Q: According to the American Time Use Survey, Americans age 15 and over spend an average of 2.86 hours…

A: Solution-: Given: μ=2.86,σ=1.21 We want to find, (a) P(x<2.77)=? (b) P(x¯<2.77)=?

Q: airline carriers 300 passengers and has doors with a height of 76 inch. heights of men are normally…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: The average time for a courier to travel from Manila to Pampanga is 200 minutes, and the standard…

A:

Q: A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a…

A: Let X denote weight of apples. X ~ N(7,1.8) The manager is going to randomly select 36 apples and is…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: Given that: X is normal Distributed with mean µ = 910.0 and standard deviation σ = 85.0 By using…

Q: b. The average commute to work is 25 minutes. If we assume that commuting times are normally…

A: We have to find given probability..

Q: A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a…

A: Given that the mean weight of 7 ounces and standard deviation of 1.8 ounces.  That is, μ=7 and σ =…

Q: According to the American Time Use Survey, Americans age 15 and over spend an average of 2.72 hours…

A: The random variable time spent watching television follows normal distribution. We have to find the…

Q: A machine dispenses juice into bottles and the fill levels are normally distributed with a mean of…

A: We have given that, A random variable X that follows a normal distribution with mean 1000 and…

Q: The flight crews of ABC Airline Company have a mean hourly wage of P480 with a standard deviation of…

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: An insurance risk manager has observed that the most common insurance product purchased by business…

A: Given Information:  Mean value = 32.2 m Standard deviation = 0.3 m

Q: he selected commuter spends more than 34 minutes commuting one way = The selected commuter spends…

A: It is given that  Mean, μ = 25 Standard deviation, σ = 6.1 Z-Score, Z = ( X - μ )/σ

Q: The time required to prepare a certain specialty coffee at a local coffee shop is uniformly…

A: Given : Let X denotes time required to prepare a certain specialty coffee at a local coffee shop.…

Q: at their items have a normally distributed length, with a mean of 16.8 inches, and standard…

A: According to the sum, A manufacturer knows that its items have a normally distributed length, with a…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.8 inches,…

A: It is given that the mean is 5.8 and standard deviation is 1.3.

Q: The distribution of all registered nurses salary on the treasure coast is known to be normally…

A: Let X be the random variable from normal distribution with mean (μ) = $59,350 and standard deviation…

Q: A machine dispenses juice into bottles and the fill levels are normally distributed with a mean of…

A: Let , random variable X be the fill levels of bottles X follows Normal distribution with mean μ =…

Q: The weight of a leatherback turtle is normally distributed with mean 760 pounds and standard…

A: Given,mean(μ)=760standard deviation(σ)=98

Q: According to Experian, the average credit score of and American adult is 722 and the standard…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 8.1…

A:

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

A:

Q: The average commute to work (one wav) is 25 minutes accordina to the 2005 American Community Survey.…

A:

Q: items have a normally distributed length, with a mean of 7.2 inches, and standard deviation of 1.1…

A:

Q: Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7…

A: Given Solution:

Q: Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9…

A: A normal distribution follows the bells shaped curve centred at mean of the distribution. The normal…

Q: According to Experian, the average credit score of and American adult is 701 and the standard…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: There are 48 students in an elementary statistics class. On the basis of years of experience, the…

A: b. Obtain the probability that the instructor misses part of the sports report that starts at 11:10…

Q: In a random sample of 64 resistors, what is the  probability that its mean falls between 218 Ω and…

A: Here use central limit theorem  A manufacturing firm produces resistors with mean and standard…

Q: manufacturer knows that their items have a normally distributed length, with a mean of 12.7 inches,…

A:

Q: A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. the…

A: From the provided information, Mean (µ) = 15.8 Standard deviation (σ) = 0.6 X~N (15.8, 0.6) Here X…

Q: A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a…

A: From the provided information, Mean (µ) = 8 Standard deviation (σ) = 1.6 X~N (8, 1.6) Sample size…

Q: A city temperature is modeled as a normal random variable with mean and standard deviation both…

A: given data,  Mean (μ) = 10  S.D(σ) =10Let X be normally distributed random variable P(X≤15) = ?

Q: According to a certain website, the average daily time spent on social networking by internet users…

A: The random variable daily time spent on social networking follows normal distribution. The…

Q: A cereal manufacturing company conducted research about the amount they give in their cereal boxes…

A: Let cereal box amount (in oz.) from normal distribution with mean (μ) = 15 and standard deviation…

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.