Section E: The IQ scores of a sample of 15 boys randomly selected from the population of fifteen year-old boys inVictoria were recorded, and the sample mean and sample standard deviation from this sample were 106 and 4,respectively. The IQ scores of a sample of 12 girls randomly selected from the population of fifteen year-old girls inVictoria were recorded, and the sample mean and sample standard deviation from this sample were 114 and 5,respectively. Let μ₁ denote the mean IQ score for fifteen year-old boys in Victoria and let µ₂ denote the mean IQ scorefor fifteen year-old girls in Victoria. Researchers want to test, at the 5% level of significance, the null hypothesis-Ho: M1- µ2 = −1 vs the alternative hypothesis Ha : µ₁ − µ₂ −1. Assume the population standard deviations ofthe two groups are equal and that the assumptions of a two-independent sample t-test are satisfied. Answer thefollowing questions. 19. What is the 98% confidence interval for μ₁ − μ₂ ?-O (1.8012, 8.3488)O (-12.3000, -3.6700)(-9.4374, 5.8715)O (-11.5636, -4.4364)

Answered: Image /qna-images/answer/c55a92f3-c6fb-422b-a172-9759667b15b3.jpg

Answered: Section E: The IQ scores of a sample of…

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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Given population parameters for two populations, population 1 has a mean of 500 and a standard deviation equal to 50. Population 2 has a mean of 21,000 and a standard deviation equal to 6,000. Complete parts a and b below. a) Compute the coefficient of variation for each population. %. (Round to one decimal place as needed.) The coefficient of variation of population 1 is The coefficient of variation of population 2 is %. (Round to one decimal place as needed.) b) Which population has data values that are more variable relative to the size of their population mean? O A. Both populations are equally variable relative to their population means. O B. Population 2 OC. Population 1
Given population parameters for two populations, population 1 has a mean of 300 and a standard deviation equal to 50. Population 2 has a mean of 22,000 and a standard deviation equal to 2,000. Complete parts a and b below. ... a) Compute the coefficient of variation for each population. The coefficient of variation of population 1 is %. (Round to one decimal place as needed.) The coefficient of variation of population 2 is %. (Round to one decimal place as needed.) b) Which population has data values that are more variable relative to the size of their population mean? O A. Population 2 O B. Population 1 O C. Both populations are equally variable relative to their population means.
A. What is the 95% Cl of a population mean when the mean of a sample is 10, the standard deviation is 2, and the sample size is 100? B. What is the 95% Cl of a population mean when the mean of a sample is 10, the standard deviation is 2, and the sample size 25? C. discuss the difference in these Cis. What is the relationship between the Cl range and sample size?
The following information is slightly different for each student but very close to the actual real data. Assume the number of years in prison before being exonerated is normally distributed for both white and black males. The average amount of time Black males are in prison before being exonerated is 13.7 years with a population standard deviation of 9.8 years. The average amount of time White male are in prison before being exonerated is 9.2 years with a population standard deviation of 8.6. Give all answers to at least 2 decimal places.a) If a Black male is at the 70th percentile for years in prison before being exonerated, find the time the person has been in prison. years
(a) The population 3, 4, 9, 14, and 20 has a mean of 10 and a standard deviation of 6.356. The z-scores for each of the five data values are z3 ≈ −1.101, z4 ≈ −0.944, z9 ≈ −0.157, z14 ≈ 0.629, and z20 ≈ 1.573. Find the mean and the standard deviation of these z-scores. mean standard deviation (b) The population 2, 6, 12, 17, 22, and 25 has a mean of 14 and a standard deviation of 8.226. The z-scores for each of the six data values are z2 ≈ −1.459, z6 ≈ −0.973, z12 ≈ −0.243, z17 ≈ 0.365, z22 ≈ 0.973, and z25 ≈ 1.337. Find the mean and the standard deviation of these z-scores. mean standard deviation (c) Use the results of part (a) and part (b) to make a conjecture about the mean and standard deviation of the z-scores for any set of data. The mean of the z-scores is always 1, and their standard deviation is 0. The mean of the z-scores is always 1 more than the standard deviation. The mean and standard deviation of z-scores are never the same.…
The following data set are four replicas for the measurements of the concentration in Molarity of NaCl in Human Serum (0.161, 0.163, 0.165, and 0.169) calculate: The arithmetic mean or sample mean The Median The sample standard deviation The range or spread Conduct the t-student’s test with 95% confidence
Consider two completely different data sets: price per gallon of gas in Fort Pierce and SAT scores of students at a certain high school. The price per gallon of gas data set has a mean of $2.95 and a standard deviation of S1.15. The high school SAT scores data set has a mean of 1078 and a standard deviation of 198. Calculate the Coefficient of Variation for both data sets. Round solutions to one decimal place, if necessary. Coefficient of Variation for the price per gallon of gas data set: Coefficient of Variation for high school SAT scores data set: Which data set has greater variability? Price per gallon of gas Thus, we see that when comparing two data sets, the data set with the larger standard deviation does not v necessarily have greater variabilty. Check All Parts
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
Q.: For the data given in the following frequency distribution table, compute if the nearest error in the data is 1: (a) mean deviation (b) Median (c) Mode (d) Range (e) Variance (f) Standard deviation Classes 150-1 168 - 186- 195 204-213- - 58 Frequency 5 20 20 15 3 1 159-1 67 15 177- 21
For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 94, 93, 97. Use a sample size of 3. The mean of the population is (Round to two decimal places as needed.) C
Use the following information for questions 3 and 4. A study of class lengths at two schools was done using independent samples. 31 classes were chosen from each. The first school had a mean length of 50.1 minutes and a standard deviation of 1.6 minutes. The second school had a mean length of 48.9 and a standard deviation of 2.2 minutes. We want to determine at α = 0.01 if the means are different. Assume all test conditions are satisfied. What are the null and alternate hypotheses (write in equation/inequality form)?

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