Let x represents a random number of apples a tree in Oak Glen, California produces in a given season. It has a mean of 101 apples and standard deviation of 50 apples, then the standard deviation of the sampling distribution of the means with sample size 100 is 5. True O False

Let x represents a random number of apples a tree in Oak Glen, California produces in a given season. It has a mean of 101 apples and standard deviation of 50 apples, then the standard deviation of the sampling distribution of the means with sample size 100 is 5. True O False

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

Similar questions

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 102 pounds and a standard deviation of 37.1 pounds. Random samples of size 17 are drawn from this population and the mean of each sample is determined.
Suppose we know that the mean score among the population of college students taking the GMAT test is 1000. If the population standard deviation is 1200, and we take a sample of size 100, then what is the probability we will observe a sample mean greater than 1200?
Suppose heights of dogs, in inches, in a city have an unknown distribution with mean 24 and standard deviation 5 inches. A sample of size n=73 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?Give just a number for your answer.
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 109 pounds and a standard deviation of 37.9pounds. Random samples of size are drawn from this population and the mean of each sample is determined.
A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of 40 of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the taco chain's restaurants is 2.79 minutes. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 40 customers. Take Sample Sample size: 0 Point estimate: Population standard deviation: 0 Enter the values of the sample size, the point estimate for the…
A sample consists of n=6 scores: 2,7,4,6,4,7 1. Compute the mean and standard deviation for the sample 2. Find the Z score for each score in the sample. 3. Transform the original sample into a new sample with mean of M=50 and s = 10
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 35 couples.Find the mean and the standard deviation for the numbers of girls in groups of 35 births. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Here are the Degree of Reading Power (DRP) scores for a random sample of 10 third grade students in the Albany City school district: 31, 27, 38, 34, 42, 28, 26, 43, 46, 27 You wonder whether the mean score of this sample is greater than the population mean of all third grade students in the Albany City school district, which is 30. Suppose scores on the DRP are known to be normally distributed with a population standard deviation of 11. Step 1) Population 1 (Sample): Population 2: Null Hypothesis (H0): Research Hypothesis (H1): Step 2) Determine the characteristics of the comparison distribution. Sample Mean = M = _________ Mean of the population = μ = ________ Population standard deviation = = _________ Standard deviation of distribution of means = = __________ Step 3) Determine the cutoff score on the z distribution (use a 0.05 p value). Cut-off score = _________ Step 4) Determine your sample’s z score. z = ___________ Step 5) Decide whether…
An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $248 with a standard deviation of $65. Random samples of size 25 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is The standard deviation of the distribution of sample means is. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. O A. ов. Oc. OD. 248 248 443 Mean price (in $) 287 248 Mean price (in $) 251 209 245 Mean price (in $) 53 Mean price (in $)
Suppose that a distribution of 300 items has mean 115 and standard deviation 4. Find the z-score of the item x = 121
If the standard deviation of the population is σ, the standard deviation of the sample means is where "n" is the number of observations in each sample. True False