L. As a general rule of thumb, if the items selected for a sample are not replaced and the sample size is less than 5 percent of the population, the binomialdistribution can be used to approximate the hypergeometric distribution,il. If the probability of success does not remain the same from trial to trial when sampling is done without replacement, the hypergeometric distributionshould be applied.I. In the hypergeometric distribution the probability of a success is not the same on each trail.Multiple Choice(0.00, and (i) are all false statements.() and () are correct statements but not (0.00 and (i) are correct statements but not ()

Given the three statements: (i) As a general rule of thumb, if the items selected for a sample are…

Answered: 1. As a general rule of thumb, if 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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Recent studies have shown that about 16% 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 52 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 16%. Find the mean of the sampling distribution of p̂.
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
in "a" the blank is "z" and "t" distribution
Does playing Mozart for unborn babies result in having children with higher IQs? 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? Use the p-value approach. a. Define the parameter we are testing and setup a hypothesis test to see if the mean IQ of children who listened to Mozart at least 45 minutes a day during pregnancy is higher than the national mean of 100: b. Calculate the test statistics for this…
4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
Bhuro.0p0
Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 60 and standard deviation 5. Jack obtains 1000 random samples of size n=5 from the population, finds the mean of the means, and determines the standard deviation of the means. Diane does the same simulation, but obtains 1000 random samples of size n=30 from the population What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be?
Does playing Mozart for unborn babies result in having children with higher IQs? 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? Use the p-value approach. Select the correct conclusion for this test: We fail to reject the null hypothesis because the p-value is less than the level of significance. We fail to reject the null hypothesis because the p-value is greater than the level of significance. We…
Suppose you work in the personnel department of a firm that just finished training a group of its employees and you have been requested to review the performance of the trainees on their final examination. The mean and standard deviation of the test scores are 80 and 5. Additional information indicated that the median of the test scores was 75. What type of distribution most likely describes the shape of the test scores? Skewed left Symmetric O There is not enough information to answer this question. O Skewed right
When you take samples of size n - 100 from a normally distributed population, what will likely be the shape of the distribution of sample means? Right Skewed Left Skewed Normal

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