According to a study, the length of pregnancy for a randomly selected female has unknown distribution with a mean of 274 days and a standard deviation of 14.2 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 31. 1. Describe the probability distribution of X and state its parameters u and ơ: X-Select an answer (µ = O = and find the probability that the length of pregnancy for a randomly selected female is more than 309 days. (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 µy and og: (Round the answers to 1 decimal place) X - Select an answer ♥ (µx ,ox = and find the probability that the average length of pregnancy for a sample of 31 randomly selected females is less than 267 days. (Round the answer to 4 decimal places)

According to a study, the length of pregnancy for a randomly selected female has unknown distribution with a mean of 274 days and a standard deviation of 14.2 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 31. 1. Describe the probability distribution of X and state its parameters u and ơ: X-Select an answer (µ = O = and find the probability that the length of pregnancy for a randomly selected female is more than 309 days. (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 µy and og: (Round the answers to 1 decimal place) X - Select an answer ♥ (µx ,ox = and find the probability that the average length of pregnancy for a sample of 31 randomly selected females is less than 267 days. (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: Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury ( mmHg)…

Q: Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0…

A: Given the pulse rates of females are normally distributed with mean 74 beats per minute and standard…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given ,mean(μ)=0standard deviation (σ)=1

Q: Assume that females have pulse rates that are normally distributed with a mean μ=75.0 and a standard…

Q: Assume the random variable x is normally distributed with mean u = 86 and standard deviation =4.…

A: Given,mean(μ)=86standard deviation(σ)=4

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

Q: Assume that women's heights are normally distributed with a mean given by μ=63.2 inches and a…

A: GivenMean(μ)=63.2standard deviation(σ)=2.5

Q: An elevator has a placard stating that the maximum capacity is 2445 lb—15 passengers. So, 15 adult…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: Let X be a random variable that represents the level of glucose in the blood (milligrams per…

Q: Assume the random variablex is normally distrubited with mean u=85 and the standard deviation o=5.…

A: Population mean μ =85 Population standard deviation =5

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: From the provided information, Mean (µ) = 0oC Standard deviation (σ) = 1.00oC Let X be a random…

Q: et X be a random variable that represents the level of glucose in the blood (milligrams per…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given that Mean() = 0Standard deviation() = 1X ~ N (, )= N(0,1)

Q: A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5.…

A: Given Mean(μ)=50standard deviation(σ)=5

Q: The capacitances of certain electronic components have a normal distribution with a mean u = 175 ar…

A: Given : The capacitances of certain electronic components have a normal dist. with Mean (μ) = 175…

Q: Assume the amount of weight is normally distributed with a mean = 1.2 kg and standard deviation of…

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

A: Answer : From the given data, Suppose X denote the test scores with Mean (μ) =0 standard deviation…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given that the readings at freezing on a bundle of thermometers are normally distributed with, Mean…

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

A: Given data, μ=72 σ=12.5

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

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

Q: The average number of mosquitos in a stagnant pond is 80 per square meter with a standard deviation…

A: Given that, x be the number of mosquitos ina stagnant has a normal distribution with mean =80 per…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

Q: A company sells sunscreen in 300 milliliter (ml) tubes. In fact, the amount of lotion in a tube…

A: From the provided information, Mean (µ) = 297 ml Standard deviation (σ) = 4 ml Let X be a random…

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

Q: Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0…

A: Denote X as the pulse rates of females. It is given that X is normally distributed, with mean μ = 74…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard…

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

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 length of pregnancy for a randomly selected female has unknown distribution
with a mean of 274 days and a standard deviation of 14.2 days. Let X be the length of pregnancy for a
randomly selected female and let X be the average length of pregnancy for a random sample of size 31.
1. Describe the probability distribution of X and state its parameters u and o:
X- Select an answer ♥(µ =
and find the probability that the length of pregnancy for a randomly selected female is more than 309
days.
(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 uy and oy: (Round the answers to
1 decimal place)
X - Select an answer ♥ (µx
and find the probability that the average length of pregnancy for a sample of 31 randomly selected females
is less than 267 days.
(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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one of the cars is randomly chosen, find the probability that it is traveling between 65 and 75 mph.
What is the probability that the part lasts less than 1 hour?
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
Let X be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood). The distribution of X for a healthy person is normally distributed with men u = 85 and standard deviation o = 25. A person suffers from severe excess in insulin would have a lower level of glucose. A blood test with result of X < 40 would be used as an indicator that medication is needed. (a) What is the probability that a healthy person will be suggested with medication after a single test? (b) A doctor uses the average result of 2 tests for diagnosis, that is X. The second test will be conducted one week after the first test, so that the two test results are independent. For many healthy persons, each has finished two tests, find the expectation and standard error of the distribution of X. (c) The doctor suggests medication will be given only when the average level of glucoses in the 2 blood tests is less than 40, that is X < 40, so to reduce the chance of…
The distribution of life spans is approximately normal and u=40, how large a sample is required in order that the probability of committing a type II error be 0.1 when the true mean is 35.9 months? Assume that o = 5.8 months.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one car is randomly chosen, find the probability that is traveling less than 70 mph.
Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute
Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from th Federal Aviation Administration) If 40 adult females are randomly selected, find the probability that they have a mean overhead reach between 204.0 cm and 206.0 cm.
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.935°C.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 60 with a standard deviation of 9 . Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? What is the probability that an elite athlete has a maximum oxygen uptake of 70 ml/kg or lower?
Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?