Consider the distribution of the average number of hours that collegestudents spend sleeping each weeknight. This distribution is veryskewed to the right, with a mean of 5 and a standard deviation of 1.A researcher plans to take a simple random sample of 18 collegestudents. If we were to imagine that we could take all possible randomsamples of size 18 from the population of college students, thesampling distribution of the average number of hours spent sleepingwill have a shape that is☐ Exactly normal.Just like the population (i.e., very skewed to the right).Less skewed than the population.

Answered: Consider the distribution of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using %3D V20 0.447 hours? O No, because we don't know that the distribution of sleep hours for the population is approximately Nor. O No, because we can't be sure that the central limit theorem applies to this situation. O Yes, because all the conditions for using this formula have been met. O No, because "hours of sleep" is not a continuous variable. O No, because the sample is more than 10% of the population.
Suppose a random sample of 4949 measurements is selected from a population with mean 6060 and standard deviation 1010. Step 2 of 2: Find the standard deviation of the sampling distribution of sample means using the given information. Round to two decimal place, if necessary.
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.322.3 pounds and a standard deviation of 5.75.7 pounds. Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 7474 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
When samples of size 30 are collected from a normal population that has a mean of 200 and a standard deviation of 40, the standard deviation of the sampling distribution is?
The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is about , and the number of men weighing less than 135 pounds is about .
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 21.2 pounds and a standard deviation of 4.6 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 85 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. A random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated. Which of the following describes the sampling distribution of the sample mean for samples of size 100 ? Skewed to the right with standard deviation 0.7 sibling A Skewed to the right with standard deviation less than 0.7 sibling B Skewed to the right with standard deviation greater than 0.7 sibling C Approximately normal with standard deviation 0.7 sibling D Approximately normal with standard deviation less than 0.7 sibling E Chose A, B, C, D, or E
Recent studies have shown that about 39.9% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 136 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.9%. The standard deviation of the sampling distribution of was found to be 0.0245. If the clinic took repeated random samples of 400 observations and found the sample proportion who were obese, into what interval should those sample proportions fall about 95% of the time? (Use the Empirical Rule. Round your answers to two decimal places.) between and
If a sample size is 100 and the population standard deviation is 30 then the standard deviation of the sampling distribution for means is 3. Is this true or false.
The weights of people in a certain population are normally distributed with a mean of 159 lb and a standard deviation of 24 lb. Determine the sampling distribution of the mean for samples of size 5.

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