Find the value of z1-αα/2  for the 92% confidence level.  (b) The yearly yield of butter fat from a cow of a certain breed is assumed to be normally distributed with mean 205 kg and standard deviation 20 kg. i. What is the probability of that the yearly yield of butter fat from one randomly chosen such cow is less 200 kg.  ii. What is the probability of that the average yearly yield of butter fat from twelve randomly chosen such cow is at least 202 kg.  iii. What is the probability of that the average yearly yield of butter fat from twenty randomly chosen such cow is between 198 kg and 202 kg.

Q: The time taken by employees at Grace Floral shop to put a bouquet together has a normal distribution…

A:

Q: An automobile battery manufacturer claims that its mid grade battery has a mean of 50 months with a…

A: μ=50σ=6Normal distribution a) P( x>51) =P(x-μσ>51-506) =P(z>0.1667) =0.4338 (there fore 2…

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop…

A: Solution

Q: The record of births in a hospital collects information about the mother and within it collects the…

A: According to the given information, we haveThe mean of the distribution is The standard deviation of…

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop…

A: Given mean of 3.9 years and a standard deviation of 0.4 years.

Q: average

A:

Q: An article reported that patients under care for HIV have CD4 tests every 3 months on average, with…

A: Given Information: The distribution of time between tests is normal. Mean μ=3 Standard deviation…

Q: One of the variables collected in the North Carolina Birth Registry data is weight (in pounds)…

A: Givenmean(μ)=30.23standard deviation(σ)=12.84

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A:

Q: Suppose a life insurance company sells a $160,000 1-year term life insurance policy to a 20-year-old…

A: The question is about application of discrete prob. distribution Given : Prob. of female survives (…

Q: A pack of potato chips is randomly chosen from the outputs of machine A. Find the probability that…

A:

Q: Mr. Rose is a new quality-control inspector at a factory that produces axles for a certain model of…

A:

Q: The manager of a computer retail store is concerned that his suppliers have been giving him laptop…

A: The objective of this question is to find the probability that 33 randomly selected laptops will…

Q: (i) Find the probability that the rod will fit inside the bearing with at least 0.10 mm clearance?

A:

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A: a).Given, The required probability is obtained as- Therefore, the required probability that the…

Q: The scores of students on the SAT college entrance examinations at a certain 535.9 and standard…

A: Given, Mean = 535.9 Standard deviation = 25.1

Q: What is the probability that the birth weight of a randomly se- lected full-term baby exceeds 4,000…

A: Let X denote the birth weight of full-term baby. Given that X follows Normal(mean = 3500, SD = 600),…

Q: A certain brand of yogurt is packed in tubs with masses that are normally distributed with mean of…

A:

Q: The birth registry in a hospital collects information from the mother and within this it collects…

A: The given information is as followsThe mean of the distribution is The standard deviation of the…

Q: The manager of a computer retail store is concerned that his suppliers have been giving him laptop…

A: The objective of this question is to determine the probability that 31 randomly selected laptops…

Q: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage…

A: XA¯ = 36, sA = 0.6XB¯ = 38, sB = 0.8

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: Two additives to Portland cement are being tested for their effect on the strength of concrete. 21…

A:

Q: The distribution of total body protein in adult men with liver cirrhosis is approximately Normal…

A:

Q: You have been commissioned to study the difference in expected sick leave among men and women in a…

A: It is reasonable to consider sick leave measured in number of days per year in the two groups as…

Q: The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks)…

A: The average fuel efficiency of U.S. light vehicle is 21 miles per gallon. The standard deviation of…

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: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A: Let "X" be the scores for men on the verbal portion of the SAT-I test. Draw the normal curve and…

Q: The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of…

A: GIvenMean(μ)=61standard deviation(σ)=5.9

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop…

A: Given information- Population mean, µ = 3.8 years Population standard deviation, σ = 0.6 years…

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop…

A:

Q: An orange juice producer buys oranges from a large orange grove that has one variety of orange. The…

A: 1. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the…

Q: The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of…

A: The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of…

Q: An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars…

A:

Q: The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of…

A: We have given that the mean $0.29, standard deviation $0.1164 and sample size n is 50.

Q: A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample…

A: Given information Hypothesized mean µ = 6.5 Sample size (n) = 36 Mean x̅ = 7 Standard deviation (s)…

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop…

A: Given data,μ=4.3σ=0.4If n=37P(M≤4.1)=?

Q: Find the probability a randomly selected model of this vehicle has mpg 2.8 standard deviations below…

A: Consider, X = fuel economy among drivers of that vehicle. The distribution of those values is…

Q: The lifespan of a certain brand of bicycle tyre is normally distributed with a mean of 1200 km and a…

A: Given that, μ=1200,σ=80 (i) The probability that randomly chosen tyre has a lifespan of less than…

Q: A manufacturer of pins knows that 5% of his product is defective. If he sells pins in boxes of 100…

A:

Q: The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of…

A: (a) It is given that the collagen amount are normally distributed with mean 61 and standard…

Q: Find the probability that 26 randomly selected laptops will have a mean replacement time of 3.9…

A: Given that Sample size=26

Q: The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of…

A: Given that  X~Normal(μ = 65 , ? = 9.9)

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.