MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose that you have a distribution involving a continuous random variable x.
- Discuss how one would obtain a distribution of sample means for this continuous random variable x. Cast this discussion within the context of an original real-world example (e.g., IQ scores).
- Discuss how the
mean of this distribution of sample means can be used to make informed decisions regarding the population mean. - Discuss how the standard deviation of this distribution of sample means can be used to make informed decisions regarding the population standard deviation.
- As
sample size increases, discuss how the shape of the distribution of sample means changes as well as the influence over the mean and standard deviation of this distribution.
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VIEW Step 2: Discuss how one would obtain a distribution of sample means for this continuous random variable x.
VIEW Step 3: Explain the informed decision taken about pop. mean using the mean of this dist. of sample means
VIEW Step 4: Explain the informed decision taken about pop. sd using the sd of of this dist. of sample means
VIEW Step 5: Explain the effect of increase in n on the shape of of the distribution of sample means
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- b) Rachel received the following scores on the midterm and final examinations in his introductory psychology course. The mean and the standard deviation for each test are given below. Assume that the normal distribution provides a good model for the frequency distribution. Section 8. 40 90 |Midterm 50 Final 100 12 i. What percentage of students scored better than Rachel on the midterm? The department has decided that all marks from introductory psychology courses should be reported based on a standardized distribution with a mean of 100 and standard deviation of 15. What would be Rachel's final examination scores based on ii. this new distribution?arrow_forwardPlease state if the statement is correct or wrong and explain why. Statement 1. The sampling distribution of the sample mean with a sample size of 12 has a smaller standard error than that of the sampling distribution of the sample mean with a sample size of 13. Statement 2. Degrees of Freedom is one of the parameters of the normal distribution. Statement 3. A parameter is a function of a sample.arrow_forwardA random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the F table.) (table is the screenshot picture) a. Calculate the grand mean. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. _H0: μA = μB = μC; HA: Not all population means are equal. _H0: μA ≤ μB ≤ μC; HA: Not all population means are equal. _H0: μA ≥ μB ≥ μC; HA: Not all population means are equal. e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations to at least 4 decimal…arrow_forward
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