According to a study, the time between taking a pain reliever and getting relief for a randomly selected patient has unknown distribution with a mean of 49 minutes and a standard deviation of 4.1 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 38. 1. Describe the probability distribution of X and state its parameters u and o: Select an answer v (u and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is more than 53 minutes. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of X and state its parameters ux and ox: (Round the answers to 1 decimal place) Select an answer , OF = = Xl ) and find the probability that the average time between taking a pain reliever and getting relief for a sample of 38 randomly selected patients is less than 48 minutes. (Round the answer to 4 decimal places)

According to a study, the time between taking a pain reliever and getting relief for a randomly selected patient has unknown distribution with a mean of 49 minutes and a standard deviation of 4.1 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 38. 1. Describe the probability distribution of X and state its parameters u and o: Select an answer v (u and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is more than 53 minutes. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of X and state its parameters ux and ox: (Round the answers to 1 decimal place) Select an answer , OF = = Xl ) and find the probability that the average time between taking a pain reliever and getting relief for a sample of 38 randomly selected patients is less than 48 minutes. (Round the answer to 4 decimal places)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and…

Q: The braking distances of a Honda CRV can be approximated by a normal distribution, where the mean is…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given data,μ=158σ=27.7P(150<X<201)=?

Q: in a fish farm,the weight of a fish is found to follow normal distribution with mean 1.5 kg and…

A: Given that, In a fish farm, the weight of a fish is found to follow normal distribution with mean…

Q: According to a study, the time between taking a pain reliever and getting relief of a randomly…

A: Here random variable X has normal distribution with mean of 33 and standard deviation of 5.2 We…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: GivenMean(μ)=159standard deviation(σ)=32.6

Q: The braking distances of a Honda CRV can be approximated by a normal distribution, where the mean is…

A: GivenMean(μ)=53standard deviation(σ)=3.8

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: It is an important fact in statistics . It has got wide applications in all statistical fields .

Q: If babies have birth weights that are approximately normally distributed with mean 3.3kg and a…

A: Given : μ=3.3 kgσ=0.55 kgX~N(μ=3.3,σ2=(0.55)2) We want to find, P(X > 5) = ?

Q: A certain breed of dog has a lifespan that follows a normal distribution with mean 13.1 years and…

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

Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and…

A: Given, x is the taxi and takeoff time for commercial jets which follows normal distribution with-…

Q: The lifetimes of a certain electronic component are known to be normally distributed with a mean of…

A: It is given that the lifetimes of a certain electronic component are known to be normally…

Q: he advertised fuel economy of the 2020 Toyota Camry model with 4 cylinders and a 2.5 liter engine is…

Q: Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum…

A: It is required to find the probability that a sample of 60 women aged 20 to 29-years-old from the…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 15 of the…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Given Data: Mean (μ)=85 Standard deviation (σ)=6 Variance (σ2)=36 Sample size(n)=16 Let X be the…

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: The mean and standard deviation are 1650 and 320, respectively.

Q: According to a study, the time between taking a pain reliever and getting relief of a randomly…

Q: The sugar content of 12-ounce cans of COKE is normally distributed with a mean of 37 grams and a…

A: Given that, Mean = 37 Standard deviation = 10

Q: Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70…

A: From the information, sample size is 49, mean 70 inches and a standard deviation of 0.75 inches

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

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…

Concept explainers

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.

Question

According to a study, the time between taking a pain reliever and getting relief for a randomly selected
patient has unknown distribution with a mean of 49 minutes and a standard deviation of 4.1 minutes. Let
X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X
be the average time between taking a pain reliever and getting relief for a random sample of size 38.
1. Describe the probability distribution of X and state its parameters u and o:
X
Select an answer v
and find the probability that the time between taking a pain reliever and getting relief for a randomly
selected patient is more than 53 minutes.
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
Select an answer
to describe the probability distribution of X and state its parameters ug and og: (Round the answers to
1 decimal place)
Select an answer
and find the probability that the average time between taking a pain reliever and getting relief for a
sample of 38 randomly selected patients is less than 48 minutes.
(Round the answer to 4 decimal places)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

One test for Diabetes is called the A1C test. It measures the percentage of red blood cells that have sugar-coated hemoglobin attached to them (called the A1C score). Assume that the distribution of A1C scores is normally distributed with a mean of 5.0 and a standard deviation of 0.5 (the actual mean and standard deviation are slightly above these values and are gender dependent. I have rounded to make calculations easier). Determine the probability of observing an A1C score greater than 6.06 i.e P(X > 6.06). Enter your answer to 4 decimal places.
The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean. The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean.
Let x be a random variable that represents the commute time of teachers in a large rural area. If x is normally distributed with a mean of 64 minutes and a standard deviation of 12.2 minutes, find the probability that a commute time is greater than 70 minutes.
The shelf life of a perishable product is a random variable that is related to customer acceptance and, ultimately, to sales and profit. Suppose the shelf life of a particular soft drink is best approximated by a normal distribution with a mean of 180 days and standard deviation 20 days. What fraction of the product will still be fresh after 5 months on the shelf?
A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115 boxes needs to be transported via this semi-truck. Research has shown that the weights of boxes for this type of cargo have a distribution that has a population mean weight of 125 pounds and a population standard deviation of 20 pounds. Based on this information, what is the probability that all 115 boxes can be safely loaded into the semi-truck and transported?
According to data from the U.S. Army the average foot length of women as normally dis-tributed with a mean of 9.6 inches and a standard deviation of 0.5 inches. Find the probability that a randomly selected woman has a foot length less then 10.0 inches.
Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level. Greater than 190
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 2.8 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. USE SALT (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) 0.5432 (b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)