lation, we Rhow that apPproximately with any given mearn 68% of the observations fall within one standard deviation of the mean 95% of the observations fall within two standard deviations of the mean 99.7% of the observations fall within 3 standard deviations of the mean. This is sometimes called the 68-95-99.7 Empirical Rule-of-Thumb. Jsing the 68-95-99.7 Empirical Rule-of-Thumb, answer the following questions. No partial credit will be given for using any other method. . If a population has mean 100 and standard deviation 20, what is the mean of the sampling distribution of sample size n = 25? . If a population has mean 100 and standard deviation 20, what is the standard deviation of the sampling distribution of sample size n = 25? . A given exam has a normal distribution with a mean of 70 and a standard deviation of 10. A sample of size 25 is selected. What percentage of the time wor expect the mean of this sample size to fall between 66 and 74?

lation, we Rhow that apPproximately with any given mearn 68% of the observations fall within one standard deviation of the mean 95% of the observations fall within two standard deviations of the mean 99.7% of the observations fall within 3 standard deviations of the mean. This is sometimes called the 68-95-99.7 Empirical Rule-of-Thumb. Jsing the 68-95-99.7 Empirical Rule-of-Thumb, answer the following questions. No partial credit will be given for using any other method. . If a population has mean 100 and standard deviation 20, what is the mean of the sampling distribution of sample size n = 25? . If a population has mean 100 and standard deviation 20, what is the standard deviation of the sampling distribution of sample size n = 25? . A given exam has a normal distribution with a mean of 70 and a standard deviation of 10. A sample of size 25 is selected. What percentage of the time wor expect the mean of this sample size to fall between 66 and 74?

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Description: In the normal distribution with any given mean and standard deviation, we know that approximately68% of the observations fall within one standard deviation of the mean95% of the observations fall within two standard deviations of the mean99.7% of th

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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10)You are told that the weights of bags of apples are normally distributed with a mean of 1 kilogram and a standard deviation of 0.107 kilogram. According to the Empirical rule, within what range will approximately 99.7% of the bags of apples weigh? Please give your first answer as the lower bound and your second answer as the upper bound. Give your answers correctly rounded to two decimal places. Do NOT include units in your answers. Your lower bound answer: Answer for part 1 Your upper bound answer: Answer for part 2 11)The lifetime of a product (years) is exponentially distributed with A = 0.07. What is the probability that this product will last between 8 and 14 years.
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1.23. |Mean and standard deviation. Enter the following data into the Data tab in the One-Variable Statistical Calculator applet: 8, 9, 10, 11, 12. Examine the Statistics tab and report the mean and the standard deviation. |Mean for different data. Refer to the previous exercise. Consider the data 8, 8, 9, 9, 10, 10, 11, 11, 12, 12. 1.24. (a) How would you expect the mean for these data to differ from what you found in the previous exercise? (b) Check your answer to part (a) using the One-Variable Statistical Calculator applet. (c) Repeat parts (a) and (b) of this exercise for the following data: 8, 8, 9, 9, 10, 10, 11, 11, 12, 13. Write a short explanation for what you have found. |Standard deviation for another set of data. Refer to Exercise 1.23. Consider the data 6, 8, 10, 12, 14. 1.25. (a) How would you expect the standard deviation for these data to differ from what you found in Exercise 1.23? (b) Check your answer to part (a) using the One-Variable Statistical Calculator applet.
3. The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores: Person 1 (X) = 1 hour, z = Person 2 (X) = 3 hours, z= Person 3 (X) = 4 hours, z=
2. 1 (your instructor) am 66" tall. Assume that the population mean for adult males is 70" with a standard deviation of 2.5". What is the percentile of my height for adult males
15. (Topic 15) A sample of size 20 from the 2020 Marble League has a total point mean of 125 and standard deviation of 34. Determine the test statistic for the claim that the total point mean from the whole Marble League is greater than 130 points. (a) Write out all of the variables you know in this problem. (b) Find the test statistic related to this problem. Did you find this value using Minitab, by formula or other software?
13)Many graduate schools require applicants to take the GRE for admission. The mean GRE score worldwide is 149.7 with a standard deviation of 8.2. The recommended overall GRE score for admission at UC Berkeley is 153 Q) If an applicant were to obtain a score of 123, how many standard deviations away is this score from the mean?
4. QUESTION A precision instrument is guaranteed to be accurate within 2 units. A sample of four instrument readings on the same object yielded the measurements 353 351 351 355. 4.1 Construct a 95% confidence interval for the variance of the instrument's precision readings 4.2 It is believed that the variation in the instrument's precision readings is equal to 0.5. From your confidence interval, is there sufficient evidence to conclude that the variance differs from 0.5? Explain your answer
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1) Asshme that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 15.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%.(Draw a graph) The first quartile is______(round one decimal as needed) 2)Assume that adults have IQ scores that are normally distributed with a mean of 99.2 and a standard deviation of 21.9. Find the probability that a randomly selected adult has an IQ greater than 136.3.(Draw a graph) The probability that a randomly selected adult from this group has an IQ greater than 136.3 is_____(Round to 4 decimal places as needed)
A large population of 5,000 students take a practice test to prepare for a standardized test. The population mean is 140 questions correct, and the standard deviation is 80. What size samples should a researcher take to get a distribution of means of the samples with a standard deviation of 10? provide the solution of above questions