Please 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.

Please 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.

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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The annual salary for one particular occupation is normally distributed, with a mean of about $123,000 and a standard deviation of about $20,000. Random samples of 44 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
The average final exam score for the statistics course is 77%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 91, 64, 96, 96, 75, 74, 78, 84, 98, 78, 80, 74 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?✓ Select an answer ✓ H₁: ? Select an answer c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. ASsume that the distribution of the population is normal. 92, 81, 89, 76, 64, 63, 83, 83, 59, 56, 63, 56, 84, 62 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: H1: μ c. The test statistic t (please %3D show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)
Ifoc7 9. Pearson's coefficient of skewness for a distribution is 0-4 and its coefficient of variation is 30%. Its mode is 88, find mean and median. .(*)
The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 100, 63, 94, 97, 78, 81, 78, 82, 90, 82, 90, 81 What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0: the mean is <,>,=, or not equal to also provide the number__?__ H 1: the mean is <,>,=, or not equal to also provide the number __?__ The test statistic t = __?__ (please show your answer to 3 decimal places.) 2. The p-value = __?__ (Please show your answer to 4 decimal places.)
Describe the sampling distribution of p. Assume the size of the population is 20,000. n= 800, p = 0.8 Choose the phrase that best describes the shape of the sampling distribution of p below. VA. Approximately normal because ns 0.05N and np(1- p) 2 10. B. Not normal because ns0.05N and np(1-p) 2 10. OC. Not normal because ns0.05N and np(1- p) < 10. O D. Approximately normal because ns0.05N and np(1- p) < 10. Determine the mean of the sampling distribution of p. Ha = 0.8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)
True or false. Please answer within 30min thanks.
The average final exam score for the statistics course is 79%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 13 randomly selected students who were glven the colored pens are shown below. Assume that the distribution of the population is normal. 87, 58, 66, 70, 71, 72, 90, 83, 60, 63, 70, 89, 60 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Hạ: [pv|V| = H: [uvv # C. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is
The average retirement age in America is 64 years old. Brianna thinks that yoga teachers owners retire at age that is younger than average. We want to test Brianna's claim at the 0.09 level of significance. The data below shows the results of a survey of yoga teachers about the age where they retired. Assume that the distribution of the population is normal. 53, 61, 57, 66, 64, 68, 60, 68, 52, 65, 49 Download CSV or cut and paste into Desmos . ) For this study, which type of test should we use? Select an answer i) The null and alternative hypotheses would be: Ho: ? Select an answer H: ?v Select an answerv ii) The test statistic is (Please round your answer to 2 decimal places.) ) The p-value - (Please round your answer to 3 decimal places.) iv) What is our conclusion regarding the null hypothesis? Explain. v) What is our final conclusion about Brianna's claim?
The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho Hd = 0 kg 0 kg H₁…
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…