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) Bags in the top 5% contains too many oats and must be repackaged. What is the smallest weight a bag could have and still needs to be repackaged?

Q: About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: Consider that p is population proportion of female heart transplant patients, who are surviving for…

Q: find the probability that their lengths of pregnancy have a mean that is less than 260 days.

A: Let M denote the mean length of pregnancies for the same of size n = 25.

Q: A particular fruit's weights are normally distributed, with a mean of 513 grams and a standard…

A: The population mean is 513. The population standard deviation is 18. The sample size is 22. We have…

Q: The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70…

A: The provided information are: Population mean (μ) = 70 Population standard deviation (σ) = 10…

Q: Determine the standard deviation of the number of randomly selected faculty that will have blood…

A: n = 48 here researcher goes to a small college of 406 faculty, 20 of which have blood type…

Q: A particular fruit's weights are normally distributed, with a mean of 555 grams and a standard…

A: A particular fruit's weights are normally distributed, with a mean of 555 grams and a standard…

Q: The temperature distribution of city B has a population mean u 14.5. You randomly select 23 days and…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 201 grams and a standard…

A:

Q: The temperature distribution of Melbourne has a population mean μ = 25.01, and standard deviation o…

A:

Q: Tom works for a fruit company and found that the weight of pineapples are normally distributed with…

A: From the information, mean is 500 and standard deviation is 100.

Q: A Biologist has studied a particular tropical insect and she discovered that its life span is…

A: The mean is 72 and the standard deviation is 8.

Q: mean equal to 800MPA and a standard deviation of 40 MPa before it reaches yielding. Find the…

A: Random variable: A random variable X is a real number that describes the outcome of the random…

Q: according to the government data the probability that a woman between the age of 25 and 29 was never…

A: Given, Probability that a women between the ages of 25 and 29 was never marries is 40%. i.e. p =…

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: The average number of shoppers at a particular grocery store in one day is 505, and the standard…

A: Answer -  The average number of shoppers at a particular grocery store in one day is   μ   = 505,…

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

A:

Q: The length of human pregnancies from conception to according to a distribution that is approximately…

A: Given that.   X~N( μ , ?)   μ=266    , ?=16  , n=6   Z-score =( x - μ )/?

Q: Otto is trying out for the javelin throw to compete in the Olympics. The lengths of his javelin…

A:

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A:

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A:

Q: The Arc Electronic Company had an income of 22 million dollars last year. Suppose the mean income of…

A: Suppose the random variable X defines the income of the Arch electronic company.

Q: What is the probability that a randomly selected book has fewer than 141 pages if the mean is 193…

A: Given that The mean= 193 The standard deviation = 26 To find the probability that a randomly…

Q: Suppose the mean income of firms in the industry for a year is 35million dollars with a standard…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =35       standard…

Q: The critical value used in constructing a 95% confidence interval is ________.   Question 16…

A: It is given that  Sample mean = 6 Sample standard deviation = 2 Sample size = 8 Confidence interval…

Q: The standard deviation of the lengths of stays on international cruises is 7.3 days. The sampling…

A: The standard deviation of the lengths of stays on international cruises is 7.3 days Total Sample =70…

Q: The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation…

A: The objective of this question is to find the probability that the mean cycling time taken by a…

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 33 hours…

A: Answer: From the given data, Mean (μ) = 510 Standard deviation (σ) = 33 X~ Normal distribution (μ,σ)

Q: Suppose that weight of men in a population has a normal distribution with mean 60 Kg and standard…

A: Formula : Z =(X - μ)/σ

Q: The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation…

A: The objective of this question is to find the probability that the mean cycling time taken by a…

Q: a study of 850 homeowners in a certain area showed that the average value of the homes was $83,000,…

A: Answer: From the given data, Mean (μ) = 83000 Standard deviation(σ) = 5100 Sample size(n) = 45 X…

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: A particular fruit's weights are normally distributed, with a mean of 656 grams and a standard…

A: Solution-: Let, X=  be the particular fruit's weights Given: We find, P[mean weight will be…

Q: rding to National Health Survey heights of men are normally distributed with mean of μ=69.0  inches…

A: Here it is given that - Mean (μ) = 69 Standard deviation (σ) = 2.5 Let X denotes the heights of men…

Q: You know that buffaloes have adult weights that are distributed by B = N(2000,200) where the given…

A: GivenMean(μ)=2000standard deviation(σ)=200

Q: recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and…

A:

Q: He found that the table stated his probability as 0.1131. Determine whether Alex made an error in…

A: Let X be the random variable that Alex's home run hitting distance.Given that,

Q: The typical weight of a donut that you'd buy at Bronuts Bakery is 26 grams. Suppose that x is a…

A: given data normal distributionμ = 26σ= 3

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

A:

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A:

Q: Question 17 options:   1)  3.52 to 8.47   2)  4.69 to 7.31   3)  4.66 to 7.34   4)  4.33 to…

A:

Q: credit score of and American adult is 719 and the standard deviation of all credit scores of…

A: x:Credit score Mean of x : μ=719 Standard Deviation of x : σ=69

Q: Females have pulse rates that are normally distributed with a mean of 74 beats per minute and a…

A: We have to find out given probability..

Q: Leave all probabilities as percentages, define x on all problems with data. Simple random samples…

A: Given : For high interest mortgages(1) : n(sample size)=40 x¯(mean)=594.8 s1(standard…

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.