he weight of grapefruits produced by an orchard is normally distributed, with a mean weight (,u) of 450g and a standard deviation of 50g. We randomly select a sample of 120 grapefruits from the orchard  Q.3.1.1 compute the standard error Q.3.1.2 what is the probability that the avarage weight of the grapefruits in the sample will lie between 455g and 460g? Interpret your answer

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130

A: Let X be the random variable such that the height of maple trees at age of 5. As given  X~ N(μ,σ)…

Q: In the study cited in Exercise 5.3.4, researchers found the mean sodium intake in men and women 60…

A:

Q: The life span of 100 W light bulbs manufactured by a company are tested. It is found that (2 %) of…

A: The mean and variance of a binomial distribution are np and npq. Here, It is given that mean equals…

Q: Weights of watsathingies are normally distributed with mean u 14 kg and variance o² = 4. Find the…

A: From the given information, Consider, X be the random variable that the denotes  weight…

Q: The table below shows the number of hours per day 11 patients suffered from headaches before and…

A: There are two dependent samples which are daily headache hours before and after. We have to test…

Q: A random variable X has a binomial distribution with = 0.34 and a sample size of n. Find the mean…

A:

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

A: L

Q: Chapters: Normal and Exponential random variables.   Q: The cross-secitonal area of plastic tubing…

A: From given information we find probability and expected number.

Q: The average growth of a certain kind of tree is 1.63 inches in three years. A biologist claims that…

A: Given data is appropriate for testing of hypothesis to test t-test for single mean. Because it is a…

Q: Assume the random variable X is normally distributed with mean µ = 50 and standard deviation o= 7.…

A: Z is known as standard normal variable and it's value is obtained using standard Normal table

Q: A sampling distribution of the means of all possible samples of size 200 is formed. The population…

A:

Q: Exercise 1.3. A normally distributed random variable has a mean of 449: a. If a score of 325 has a…

A:

Q: Q.5. Floods in a stream have the mean 600 m'/s and the standard deviation 400 m'/s. Please answer…

A: Given information: μ=600 m3/s, σ=400 m3/s a) x = 700 By applying normal distribution:-…

Q: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. Compute the z…

A: Z score formula has used

Q: From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is…

A:

Q: A boat capsized and sank in a lake Based on an assumption of a mean weight of 148 b, the boat was…

A: Given For a) n=60 For b) n=17 Mean=178.9 Standard deviation=40.1

Q: A national health survey of 2010-2012 estimated the mean serum cholesterol level for Canadian…

A: Given, n=60, µ=4.7 and σ=1

Q: In one region, the September energy consumption levels for single-family homes are found to be…

A: given  data normal distributionμ = 1050σ = 218n = 50p ( x¯ > 1075) = ?

Q: A sample of n = 10 scores has a mean of M = 3. What is ΣX for this sample?

A: Solution: From the given information, M=3 and n=10.

Q: patients suffer from headaches? Assume the samples are random and dependent, and the population is…

A: Solution: Let x = Daily headache hours ( before) and y= Daily headache hours (after)  Claim:  The…

Q: John drives to work each morning, and the trip takes an average of u = 38 minutes. The distribution…

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: SAT scores are normally distributed with a mean of 1,800 and a variance of 22,500. Given arandom…

A:

Q: Q.3. Floods in a stream have the mean 600 m/s and the standard deviation 400 m/s. Please answer the…

A: Given: Mean = μ = 600 m3/s Standard deviation = σ = 400 m3/s Part a: The probability that the flood…

Q: the area representing P (Y <3) D -3 -2 -1 0 2 3

A: Mean=4, Variance=16

Q: standard

A: Given: Mean, μ=80 Standard deviation, σ=7 Sample size, n=49 To find: P (X&gt;82) Using normal…

Q: 2) A t-distribution has a variance known to be 1.25. What is the degrees of freedom for this…

A: We want to tell you which one is the correct choice.

Q: normal distribution with a mean of 6000 kilograms per square centimet a standard deviation of 100…

A: Given:Mean (µ) = 6000Standard deviation (σ) = 100X~N (6000, 100)

Q: Let z be a normal random variable with a mean of 0 and a standard deviation of 1. Determine…

A: Solution:-   Given that we need to find the value of P(Z&lt;1.4) which is equal to P(Z&lt;=1.4) That…

Q: The incubation time for a breed of chicks is normally distributed with a mean of 24 days and…

A: a)   Determine the number of chicks expected to hatch in the time period 20 to 28 days.   The number…

Q: A sample is selected from a population with a mean of u = 80 and a standard deviation σ = 20. What…

A: Mean()=80standard deviation()=20

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.