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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(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 regression line for a set of data will have little meaning unless: Select one: a. the correlation coefficient is significant. b. the slope of the regression line is zero. c. the standard deviation of errors is zero. d. there are at least 30 data points chosen.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 34 beats per minute significant?
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
Suppose an interval estimate for the population mean was 62.84 to 69.46. The population standard deviation was assumed to be 6.50, and a sample of 100 observations was used. The mean of the sample was:
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
Use the scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3278.8 g and a standard deviation of 986.2 g. Newborn females have weights with a mean of 3026.9 g and a standard deviation of 549.2 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g? Since the Z score for the male is Z =______ and the z score for the female is z=______, the _______ has the weight that is more extreme. (Round to two decimal places.)
For a population with a population mean = 60 and a population standard deviation = 9, find the score (X value) that corresponds to each of the following z - scores. A. z-= -1.00 B. z- =+0.70

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