A random sample of 10 children found that their averagegrowth for the first year was 9.8 inches, with a standarddeviation of 0.96 inches. Find the 85% confidence intervalof the mean growth of all American children in the firstyear of life. Check which assumptions have not been met so we wouldsay "the assumption may not be met" or have to check thehistogram, box plot, and normal quantile plot.Fixed number of trialsThe proportion is constantIndependent trialsNormal Sampling Distribution: n,p, 2 5, n,(1 - p,) 2 5np, 2 5 & n,(1 - P,) 2 5Expected values 2 5Equal population variancesRandom sampleTwo outcomesIndependent samplesNormal Sampling Distribution: n 2 30 or Populationis normally distributedKnown population standard deviationNormal Sampling Distribution: np > 5 & n(1 - p) > 5Unknown population standard deviation

Note- Since both are different questions, so according to our policy we can answer only one…

A random sample of 10 children found that their average growth for the first year was 9.8 inches, with a standard deviation of 0.96 inches. Find the 85% confidence interval of the mean growth of all American children in the first year of life.

A random sample of 10 children found that their average growth for the first year was 9.8 inches, with a standard deviation of 0.96 inches. Find the 85% confidence interval of the mean growth of all American children in the first year of life.

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: A generator manufacturer found that the smallest, least expensive generator that they manufacture…

A: Given X is normal Distributed with mean µ = 2000.0 and standard deviation σ = 150.0

Q: The life of a 9-volt battery is normally distributed with a mean of l = 2000 hours and a standard…

Q: rbohydrate consumption to less than 20 grams per day for one year. They measured the men’s systolic…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of1025 h with a…

Q: Television from a company are found to last on average for three years without any hardware error,…

Q: The length of human pregnancies from conception to birth follows a normal distribution with a mean…

A: The random variable X follows normal distribution. The population mean is 260. The population…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.1…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8…

A: Let us denote X= life span Given that X follows a normal distribution with mean= 7.8 years and…

Q: A random sample of 26 psychology graduates scored an average of 458 on the GRE advanced psychology…

A: From the provided information, Sample size (n) = 26 Sample mean (x̅) = 458 Sample standard deviation…

Q: Dunlop Company conducts tests on tires life. For a particular tires, the standard deviation is 6000…

A: The two values are 92,000 and 68,000.

Q: The length of human pregnancies from conception to birth follows a normal distribution with a mean…

Q: According to a recent report, people smile an average of u=62 times per day. Assuming that the…

A: Let "X" be the average number of times that people smile in a day.

Q: Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean…

A: Given , Mean ( μ ) = 111 standard deviation (σ) = 10.

Q: In 2005, a random sample of 100 recorded deaths in the United States showed an average life span of…

A: Given data: Sample size = 100 Sample mean = 71.8 Population mean = 70 Let assume, significance…

Q: The battery of cellphones tend to work less efficiently the longer you have your phone and…

Q: The duration of an NBA basketball game during the 2019-20 season is normally distributed with the…

Q: The life of sunshine CD players is normally distributed with mean of 4.9 years and a standard…

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

Q: In a recent study, the Center for Disease Control reported that diastolic blood pressure (in mmHg)…

Q: The lifespan of a certain insect is believed to follow a normal distribution

A: Life span = X and follows normal with μ=98 and σ=7 We know that (x-μ)/σ follows N(0,1) so,…

Q: A random survey of 85 death row inmates revealed that the mean length of time on death row is 17.8…

A: Answer: From the given data, Sample size (n) = 85 Sample mean x = 17.8 years Sample standard…

Q: Dunlop Company conducts tests on tires life. For a particular tires, the standard deviation is 6000…

A: From the provided information, Standard deviation (σ) = 6000 kilometers The 68% of tires life failed…

Q: The battery of cellphones tend to work less efficiently the longer you have your phone and…

A: We have given that the cellphone battery life follows a normal distribution with a mean of 3 years…

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.9 years,…

A: Given information: Let X be the number of years. X~Nμ=8.9, σ=1.8 Let x1 be the number of years for…

Q: A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7…

A: Given data,μ=20σ=5.7P(X>40)=?

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6…

Q: Sketch a normal distribution/bell curve with a mean of 60 and a standard deviation of 20. What…

A: Given that X~Normal( μ=60 , σ=20 )

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…

A: Let "X" be the patient recovery time from a particular surgical procedure. Sketch the normal…

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.1 years,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1…

A: Let us denote X=lifespan Given that X follows a normal distribution with mean=3.1 and standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: What is the 40th percentile of wait times for customers calling the help line?

A: Here given Amount of time customer wait is exponentially distributed with mean 7.5 minutes

Q: the quality grade point averages of 300 college freshmen follow approximately the normal…

A: Given: X~N(μ,σ)μ=2.1σ=0.5 n=300

Q: The amounts of time students study for an exam follows a normal model with a mean of 6 hours and a…

A: Obtain the standard z-score for the random variable X equals 3.5. The standard z-score for the…

Q: sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. What is…

A: We have given that, Let X be the GPA score from normal distribution with average or mean (μ) = 2.78…

Q: According to a poll, a shopper spends an average of 45 minutes at the supermarket for each trip,…

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: A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7…

A: Given mean= 20 years and standard deviation = 5.7 years Let, X= number of years, a homeowner stays…

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

A random sample of 10 children found that their average
growth for the first year was 9.8 inches, with a standard
deviation of 0.96 inches. Find the 85% confidence interval
of the mean growth of all American children in the first
year of life.

Check which assumptions have not been met so we would
say "the assumption may not be met" or have to check the
histogram, box plot, and normal quantile plot.
Fixed number of trials
The proportion is constant
Independent trials
Normal Sampling Distribution: n,p, 2 5, n,(1 - p,) 2 5
np, 2 5 & n,(1 - P,) 2 5
Expected values 2 5
Equal population variances
Random sample
Two outcomes
Independent samples
Normal Sampling Distribution: n 2 30 or Population
is normally distributed
Known population standard deviation
Normal Sampling Distribution: np > 5 & n(1 - p) > 5
Unknown population standard deviation

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 1 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

Dunlop Company conducts tests on tires life. For a particular tires, the standard deviation is 6000 kilometers, and The 68% of tires life failed between two values ( 102,000 78,000), what is the value of the mean life of Dunlop tires ?
estimate the difference in the amount of daily leisure time in hours of adults who have children under the age of 18 years and adults who do not have children under the age of 18 years. A random sample of 39 adults with children under the age of 18 years result in a mean daily leisure time of 4.2 hours with a standard deviation of 2.18 hours. A random sample of 42 adults with no children under the age of 18 years result in a mean daily leisure time of 5.5 hours with a standard deviation of 2.46 hours. Test the claim that adults with children under 18 have less time than without children under 18 at 5% significance level.
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 1.9 years.The 2% of items with the shortest lifespan will last less than how many years?
A manufacturer knows that their items have a normally distributed lifespan, with a m standard deviation of 1.8 years. The 9% of items with the shortest lifespan will last less than how many years?
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and a standard deviation of 2.1 days.What is the 80th percentile for recovery times? (Round your answer to two decimal places.)
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.1 years with a standard deviation of 6.5 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years or not.
A doctor is using a growth chart for baby girls that indicates a 12-month-old baby girl has a mean weight of 21.1 pounds with a standard deviation of about 2.29 pounds. Assume that the weights are approximately normally distributed. What proportion of 12-month-old baby girls weigh between 19.62 and 22.17 pounds?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.9 years, and standard deviation of 1.6 years.The 2% of items with the shortest lifespan will last less than how many years?
The national coffee assosciation reported that 62% of adults drink coffee daily. A random sample of 309 adults is selected. find the standard deviation
Among third year students at AUM, scores in Probability and Statistics follow a normal distribution with an average of 82 and a standard deviation of 4. A student who scored 75 on the exam is in what percentile of the score distribution?