Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of %3D 36 days would have a mean greater than 37.32?

Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of %3D 36 days would have a mean greater than 37.32?

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 mean we ght of an adult is 76 kilograms with a variance of 100 if 142 adults are randomiy…

A: Given,mean(μ)=76standard deviation(σ)=10 sample size(n)=142

Q: The distribution of scores for the final exam in MATH 2406 last year had a Normal distribution with…

Q: Suppose the mean income of firms in the industry for a year is 100 million dollars with a standard…

A: Given,mean(μ)=100Standard deviation(σ)=15

Q: Suppose the distribution of serum cholesterol values in undergraduate men is approximately Normally…

A: GivenMean(μ)=190standard deviation(σ)=40

Q: For a standardized psychology examination intended for psychology majors, the historical data show…

A: From the provided information, Mean (µ) = 505 Standard deviation (σ) = 180 Let X be a random…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.9…

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.08 to the left of…

Q: e standard deviation is larger than 110% of the population standard deviation. Correct your answer

A: A random sample is given as, n=22. The mean is , μ=300. The variance is, σ2=255. The probability…

Q: The distribution of scores for the final exam in MATH 2406 last year had a Normal distribution with…

Q: Find the probability that the mean of this sample will be more than 130 between 120 and 125 between…

A: It is given that: Population Mean =μ= 120 Standard deviation = σ=18 Sample size =n= 64 Sample…

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: The mean points obtained in an aptitude examination is 111 points with a variance of 400. What…

A: The objective of this question is to find the probability that the mean of a sample of 79 exams…

Q: Suppose the weight of hummingbirds are distributed normally with a mean of 25 oz and a standard…

A: Obtain the probability that a randomly selected hummingbird weighs more than 28oz. The probability…

Q: Suppose you are doing a sample of 25 from a population that follows normal distribution with the…

A: Given data,Mean μ=95sd σ=15P(X<92)=?

Q: Suppose cattle in a large herd have a mean weight of 1228lbs and a variance of 8100. What is the…

Q: In a population of heroin users, the mean duration of heroin abuse is 5 years with a standard…

A: From the provided information, Mean (µ) = 5 years Standard deviation (σ) = 3 years X~N (5, 3) Sample…

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…

Q: a batch of rods produced at a plant have a mean length of 151 mm, and a variance of 64. If 116 rods…

A: Z= x¯-μσ/n~ N(0,1)

Q: pose the horses in a large stable have a mean weight of 818lbs, and a variance of 3481. What is…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a…

A: Suppose the random variable x defines the diameter of metal shafts.

Q: a dataset with a mean of 60 and a standard deviation of 8, how many observations are expected to…

A: The mean of a dataset is The standard deviation is The data is considered to follow normal…

Q: Suppose babies born in a large hospital have a mean weight of 3758 grams, and a variance of 204,304.…

A: GivenMean(μ)=3758variance(σ2)=204304standard deviation(σ)=204304standard deviation(σ)=452sample…

Q: Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What…

A: GIVEN DATA μ=100σ=15PROBABILITY THAT A RANDOM SAMPLE OF 100 PEOPLE HAS A MEAN IQ OF MORE THAN 104…

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: Suppose that the ages of all SCC students are normally distributed with mean 24.01 yrs and s.d. 5.31…

A: Given data, Mean μ=24.01sd σ=5.31P(X>20)=?

Q: Suppose the mean income of firms in the industry for a year is 30 million dollars with a standard…

Q: The distances that aeroplanes move before coming to a stop after landing have been observed to be…

A: X= distance aeroplane moveX~N(1 km, 0.06 km) ; μ=1 km…

Q: A study shows that the intelligence quotient (IQ) of adults in a country follows a normal…

Q: Suppose that the distribution for total amounts spent by students vacationing for a week in Florida…

A: Answer:- Given X ~ N(μ, σ ) Where mean μ = 650 & standard…

Q: Suppose the mean income of firms in the industry for a year is 100 million dollars with a standard…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Suppose that a service centre finds that the time taken to resolve customer issues has a mean of 20…

A: It is given that μ=20 and σ=4. The z score is calculated asz=x-μσ

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 60 and a…

A: Given that μ=60 and σ=10

Q: Suppose that a recent article stated that the mean time spent in jail by a first–time convicted…

A: Here is given that mean time is 3.5 and sample is 45. Sample mean is 3 and sample variance is 1.4.…

Q: The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was…

A: The normal distribution is the most useful theoretical distribution for continuous variables. For…

Q: 9. What is the probability of selecting someone from the general population at random who would…

A: Answer:- Given , A standardized IQ test exists that possesses a normal distribution and has a mean…

Q: Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard…

A: Suppose the random variable x defines the income of firms in the industry.

Q: Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600.…

A: Central limit theorem As per the Central limit theorem, the sampling distribution of sample mean…

Q: uppose that the scores on a reading ability test are normally distributed with a mean of 70 and a…

A: Given, Suppose that the scores on a reading ability test are normally distributed with a mean of 70…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…

Q: Suppose a batch of steel rods produced at a steel plant have a mean length of 187 milimeters, and a…

A: The following information has been provided: The mean is μ=187. The variance is σ2=64. The standard…

Q: The mean points obtained in an aptitude examination is 111 points with a variance of 400. What…

A: The objective of this question is to find the probability that the mean of a sample of 79 exams…

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

Suppose the number of items you can deliver in a day is a random variable with some unknown
distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of
%3D
36 days would have a mean greater than 37.32?

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: Given information

VIEW

Step 2: Probability

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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 babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be greater than 3631 grams? Round your answer to four decimal places.
The quality control manager at a company manufacturing company believes that the mean life of a computer is 81 months with a variance of 64. If he is incorrect what is the probability that the mean of a sample of 58 computers would differ from the population mean by less than 2.79 months round your answer to 4 decimal places
If the random variable of X is normally distributed with a mean of 50 and a standard deviation of 10, approximately what % of all possible observed values of X will lie between 30 and 70.
The mean points obtained in an aptitude examination is 179points with a variance of 225. What is the probability that the mean of the sample would differ from the population mean by less than 2.5 points if 77exams are sampled? Round your answer to four decimal places.
Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. 95.25% of all sample means of 36 days will be greater than ?.
Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean of 35 and a standard deviation of 8. 95.25% of all sample means of 36 days will be greater than?
The mean weight of an adult is 71 kilograms with a variance of 100. If 181 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by less than 1.2 kilograms? Round your answer to four decimal places.
Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 50 horses are sampled at random from the stable? Round your answer to four decimal places.
Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard deviation of 9 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn between 36 and 42 million dollars? Round your answer to four decimal places.
Suppose the mean income of firms in the industry for a year is 2525 million dollars with a standard deviation of 77 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 4040 million dollars? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round
Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 250 people has a mean IQ of more than 102?