**What is the Central Limit Theorem? When does it apply?**Suppose that many random samples of size n for a variable are taken and the distribution of means of each sample is recorded. Select all statements that are part of the Central Limit Theorem below:- ✅ A. The distribution of means will be approximately a normal distribution.- ✅ B. The standard deviation of the distribution of means approaches σ / √n, where σ is the standard deviation of the population.- ⬜ C. The standard deviation of the distribution of means approaches σ, where σ is the standard deviation of the population.- ⬜ D. The mean of the distribution of means approaches the population mean, μ / √n.- ✅ E. The mean of the distribution of means approaches the population mean, μ.- ⬜ F. The distribution of means will approximately follow the distribution of the variable being sampled.**When does the Central Limit Theorem apply? Select all appropriate conditions below:**- ⬜ A. The Central Limit Theorem applies only to variables that are normally distributed.- ✅ B. The Central Limit Theorem applies for suitably large sample sizes. A common threshold is n > 30.- ⬜ C. The Central Limit Theorem applies for suitably small sample sizes. A common threshold is n < 30.- ✅ D. The Central Limit Theorem applies to variables with any distribution (not necessarily a normal distribution).

It is given that the appropriate conditions for the Central limit theorem. Here, need to select the…

Answered: thes the population mean, μ. F. 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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Medical School Applications A medical college dean read that the average number of applications a potential medical school student sends is 7.7. She thinks that the mean is lower than 7.7. So she selects a random sample of 28 applicants and asks each how many medical schools they applied to. The mean of the sample is 6.8. The population standard deviation is 2.5 . Test her claim at α=0.10. Assume that the variable is normally distributed. Use the P -value method with tables. State the hypotheses and identify the claim. :H0 ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ▼(Choose one) test. Compute the test value. Always round z score values to at least two decimal places. z= Find the P-value. Round the answer to at least four decimal places. P-value= Make the decision. ▼(Choose one) the null hypothesis. Summarize the results. There is ▼(Choose one) that the average number of applications a potential medical school…
h) Probability and Statistics please providea correct and well explained solution for the following
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Distribution of sample means c and d
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