Suppose the sediment density of specimens from a certain region has mean 2.55 and standard deviation 0.78.  d) For this part, assume that the sediment density of specimens are normally distributed. What is the probability that the sediment density of a randomly chosen specimen is at most 2.5? Compare your answer with Part c) (answer is .4013) and explain why it is the same or why it is different?     e) For this part, assume that the distribution of sediment density of specimens is unknown. What is the probability that the sample mean sediment density of (independent) random sample of 100 specimens is at most 2.5? Justify why you can use a normal distribution to find the probability.

Q: a) The Probability. That a battery will last more Than 19 hours is - A) 0.0554 B) 0.0778 c)0.0668 D)…

A: Let X be the random variable that the lifetime of a battery. Given that, X~N(μ=16, σ=2)

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

A: given data  normal distribution population mean : μ = 50population standard deviation : σ  = 7find…

Q: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the values a and…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a…

A: Consider a random variable X: Pulse rates of females Therefore, X~Nμ=73 , σ=12.5

Q: Suppose that the middle 68% of heights of adult males fall between 63.28 and 65.48. Give an…

A:

Q: SAT exam scores are normally distributed with mean 500 and standard deviation 100.  Give the…

A: Let X= SAT exam score  Given that X follows normal distribution with mean=500 and standard deviation…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…

A: a) The female have pulse rates that are normally distributed with mean 73.0 beats per minute pounds…

Q: A sample size of 49 is selected from the population with a mean of 56 and a standard deviation of…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 beats per…

A: Given: Mean (µ) = 74.0 Standard deviation (σ) = 12.5 X~N (74.0, 12.5)

Q: Consider a normal distribution curve where the middle 45 % of the area under the curve lies above…

A: Obtain the Z-score for the middle 45% of the distribution. The Z-score for the middle 45% of the…

Q: a machine package shirt in bags with a mean weight of 3kg. A random sample of 20 bags has a mean…

A: Solution: From the given information, a population mean weight is 3kg, n=20, sample mean weight is…

Q: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the values a and…

A: Given that  Z is normally distributed with mean 0 and standard deviation 1

Q: emales have pulse rates that are normally distributed with a mean of p= 76.0 beats per minute and…

A: Given information  Mean = mu =  76.0  Standard deviation = s= 12.5  Z score formula = x - mu /s

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…

A: Solution: Let X be the pulse rate of females. From the given information, X follows normal…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…

A: Ggjjgvchhggh

Q: Deats pel mindte dind a Standar Beats per milhute. Complete parts (a) through (c) below. a. If 1…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per…

A: Given data: Mean = 76 Standard deviation  = 12.5

Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 73.0 beats per…

A:

Q: more than 3.42 cm. b) less than 3.46 cm. c) between 3.35 cm and 3.46 cm

A: Let X be the random variable representing the diameter of steel rod. Given that X has mean 3.41 cm…

Q: Assume that females have pulse rates that are normally distributed with a mean of u= 72.0 beats per…

A:

Q: In hydrology, the annual precipitation height in a basin corresponds to Normal and Log-Normal…

A: Part (a) The normal distribution curve corresponding to the required region is shown below.…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=75.0beats per…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…

A: Solution: a. Let X be the females pulse rate. From the given information, X follows normal…

Q: Consider a normal distribution curve where 95-th percentile is at 14 and the 30-th percentile is at…

A: Let X denotes the random variable 95th percentile  is 1430th percentile  is 9To find Mean μ and…

Q: Kentucky Fish and Wildlife claim that a new lake in a city park has fish of various sizes with a…

A: a) Suppose the random variable x defines the length of fish in new lake in a city park.

Q: 1) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard…

A: Given Data: Let X represent the normal distribution   mean=3.41 SD=0.02   X~ Norma (3.41, 0.022)

Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…

A: Solution To find probability we will use z score.

Q: Consider a normal distribution curve where the middle 15 % of the area under the curve lies above…

A: Given that, Middle area = 15% = 0.15 15% of the area lies above the interval (3,19). To find the…

Q: Assume that females have pulse rates that are normally distributed with a mean of u =72.0 beats per…

A: Given,   Mean = 72 Standard deviation = 12.5   The objective is to find the required probability.

Q: Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per…

A: Given that,                                      Females have pulse rates…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per…

A: It is given that mean and standard deviation are 76.0 and 12.5, respectively.

Q: Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per…

A: we have given that  mu=73.0  , sigma =12.5   X~N(mu=73.0 , sigma=12.5 ) { p-value is calculated from…

Q: Suppose that x has a distribution with μ = 7.89 and σ = 3. If a random sample is taken of size n =…

A: a). Given, μ=7.89σ=3n=43 The required value of μx is obtained as- μx=μ=7.89 b). Given, μ=70σ=10X=85…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per…

A: Let X denotes the pulse rates of females. Given that X~Nμ=74,σ2=12.52.

Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…

A: Obtain the probability that 1 adult female pulse rate is less than 83 beats per minute. The…

Q: The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard deviation…

A: Given that, Mean = 3.41 Standard deviation = 0.02

Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 75.0 beats per…

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.