Answered: A simple random sample of size n=36 is…

A simple random sample of size n=36 is obtained from a population with μ=89 and σ=24. (a) Describe the sampling distribution of x. (b) What is P x>95? (c) What is P x≤79.8? (d) What is P 85.8

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 number of absences last year for students at a large high school has a mean of 5.6 days with a…

A: The sampling distribution if mean is given as Hence, the mean of the sampling distribution is 5.6…

Q: For a population that has a standard deviation of 10, figure the standard deviation of the…

A: Given that Population standard deviation =10 Then we have to find the standard deviation of the…

Q: Suppose you sample 2 students from every classroom where a class is being held at Harvard University…

A: If a random sample of size n is taken from a population having mean and standard deviation then,…

Q: A population proportion is 0.3. A simple random sample of size 187 will be taken and the sample…

A: Given,sample size(n)=187population proportion(P)=0.3

Q: A law school with a total enrollment of 5000 students is known to have 40% women in its student…

A: Expectation:Denote π as the true population proportion of women in the law school. Hence, π =…

Q: The variance of the mean in the Simple Random Sampling design with replacement is defined as Tick…

A: When sampling is with replacement, the variance of sample mean is . There is no correction factor.

Q: The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean…

Q: How hard is it to reach a businessperson by phone? Let p be the proportion of calls to…

A: Given that Margin of error =E =0.054 80% confidence level.

Q: A professor wants to examine the difference between means of 2 classes on a recent exam. Which of…

A: We have given the statement A professor wants to examine the difference between means of 2 classes…

Q: The variance of the sampling distribution of the proportion is, 0.63(1-0.63) 600 = 0.0004 The…

A: The variance of the sampling distribution of the proportion is,

Q: he heights of fully grown trees of a specific species are normally distributed, with a mean of…

Q: I selected three different samples of size n= 10 from the 1500 students at my school can a sampling…

A: Given, n = 10 N = 1500 Number of sample size = 3

Q: K The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a…

Q: fo (b) What is the mean and standard deviation of the sampling distribution of x assuming u = 4 and…

A: Given that Sample size n =40 Population mean μ =4 Population standard deviation =2

Q: A random sample of size1,000 is taken from a population where P= 0.20. Find P(P>0.175)

Q: a. Calculate the mean and standard deviation of the sampling distribution of X, the sample mean…

A: Given : Population mean , μ = 34.82 Population standard deviation , σ = 5.02 sample size, n = 6

Q: Find the standard error of the mean for each sampling situation (assuming a normal population).…

Q: Formulate is it true? The sampling distribution of r = .8 becomes normal as N increases.

A: Central limit Theorem: If the sample size increases or the distribution of the population follows…

Q: The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean…

A: The graph shows the waiting time at the of the red light.Sample size Based on the graph on the left,…

Q: Let a population consist of the values 7 cigarettes, 8 cigarettes, and 22 cigarettes smoked in a…

A: The population consists of 7, 8, and 22 cigarettes.The population mean is the formula for…

Q: he graph of the waiting time (in seconds) at a red light is shown below on the left with its mean…

A: Given Information: Sample size (n) = 225 And from the first graph, mean μ=18.9 Standard deviation…

Q: In a binomial distribution, the value for 'q' is 0.14. Therefore, the value for 'p' is: 0.14 0.36…

A: We know the formula of binomial distribution with n trails: PX=n=CrnPxqn-r Where p is probability of…

Q: Suppose a simple random sample of size n=81 is obtained from a population with a mean of 88 and a…

A: Given sample of size n=81 mean=88 standard deviation =27.

Q: A sample of 50 people are selected at random from a population and it is found that 12 people in…

A: Given a sample of 50 people are selected at random from a population and it is found that 12 people…

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Obtain the mean of the sampling distribution of the sample mean. The mean of the sampling…

Q: Sample Size If the standard deviation of the mean for the sampling distribution of random samples of…

A: Given , n = 46

Q: Suppose the ages of Internet shoppers have a mean of 32 years and a standard deviation of 5 years.…

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Obtain the sampling distribution of the sample mean. The sampling distribution of the sample mean…

Q: At a large university, 58% of all students live on campus. Suppose a random sample of 275 students…

Q: What is the P (t < -0.3) with a sample size of 13.

A: The sample size is, n = 13 The degree of freedom is, df= n-1 =13-1 =12

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Obtain the mean of the sampling distribution of the sample mean. The mean of the sampling…

Q: Consider sample data with x = 24 and s = 6. (a) Compute the coefficient of variation. (b)…

A: From the provided information, x = 24 and s = 6.

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: The mean is µ = 102 pounds. The standard deviation is σ = 37.1 pounds. The sample size is n = 17.

Q: Let a population consist of the values 11 cigarettes, 17 cigarettes, and 18 cigarettes smoked in a…

A: Given Information: Population consists of 11 cigarettes, 17 cigarettes and 18 cigarettes smokes in a…

Q: Let a population consist of the values 10 cigarettes, 11 cigarettes, and 20 cigarettes smoked in a…

A: Given Information: The population consists of values: 10, 11, 20 All possible samples of size 2 with…

Q: Consider 110 single students in a college class as the population of interest. The mean number of…

A: Given information: The population size is 110, and the size of the sample is 10.

Q: What is the standard deviation of p-hat, the sample proportion? a. np(1-p) b. sqrt(n(1-p)) c.…

A: Defines that p is population proportion.

Q: a) Define Parameters and state null and alternative hypothesis b) Find test statistics c) Find…

A: Given Data : For Sample 1 x̄1 = 9.31 s1 = 4.67 n1 = 100 For Sample 2…

Q: Researchers developed a "cat IQ test" and find that the population of cats in the United States has…

Q: The sampling distribution of x is skewed right/skewed left /normal with μx = _____ and σx = _____

A: Given information mean μ=156 days standard deviation σ=12 days. Sample size n = 19

Q: A random sample of n = 81 observations is drawn from a population with a mean equal to 25 and…

A: Given information: Sample size, n = 81 Population size, μ=25 Population standard deviation, σ=18 It…

Question

A simple random sample of size n=36 is obtained from a population with μ=89
and

σ=24.

(a) Describe the sampling distribution of

(b) What is

P x>95?

P x≤79.8?

(d) What is

P 85.8<x<97.4?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let a population consist of the values 7 cigarettes, 21 cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? Calculate the mean absolute deviation for each possible sample of size 2 from the population. Sample Mean Absolute Deviation {7,7} __ {7,21} __ {7,22} __ {21,7} __ {21,21} __ {21,22} __ {22,7} __ {22,21} __ {22 ,22}
The weights of men in a particular age group have mean ? = 186 pounds and standard deviation ? = 20 pounds. (a) For randomly selected samples of n = 4 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 16 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size (increses/decreases/doesn't effet)the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of (1/4, 1/2, 1, 2, or 4)
(a) Find the mean u and the standard deviation o for the collection of N = 8 stocks. (b) Find the sample mean i and sample standard deviation s of the random sample of stocks.
Compute for the mean (??̅) and standard deviation (??̅) of the sampling distribution of the sample means and compare these to the mean and standard deviation of the population.
Solve it correctly please. I will rate accordingly.
Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p). (a) n = 336, p = 0.7 mean standard deviation (b) n = 1,344, p = 0.7 mean standard deviation
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 113 pounds and a standard deviation of 37.7 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined.
Let a population consist of the values 11 cigarettes, 12 cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? Calculate the mean absolute deviation for each possible sample of size 2 from the population. Mean Absolute Deviation Sample {11,11} {11,12} {11,22} {12,11} {12,12} {12,22} {22,11} {22,12} {22,22} (Type integers or decimals rounded to one decimal place as needed.) Budget Pi nd Pow....P Enter your answer in the edit fields and then click Check Answer. Clear All Check Answer parts
Central limit theorem: Sample mean Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 31.5 grams per pound. Find the probability of observing a sample mean of 31.5 grams of fat per pound or less in a random sample of 34 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. 0 ▬▬▬▬▬ 0/5 X 5 Español ? FRD
It is believed that the mean value of a variable measured for an entire population of individuals has value µ = 17 and that for the population the standard deviation is σ = 5.69. A sample of size n= 43 is to be taken from the population. According to the central limit theorem, the sampling distribution of the mean is Normal( 43 , 0.872 ) Normal( 17 , 5.692 ) Normal( 17 , 0.872 ) Normal( 43 , 5.692 )
The distribution used for small sample size (n<30) changes based on the size of the sample. True False