In a certain school, 60 students in a certain class were enrolled in three subjectsas follows:2.40 Discrete Mathematics38 Statistics & Probability35 English25 Discrete Mathematics and Statistics & Probability28 Discrete Mathematics and English20 Statistics & Probability and English15 Discrete Mathematics, Statistics & Probability and English71How many students were enrolled in(a)Discrete Mathematics only?(b)Discrete Mathematics and English but not Statistics & Probability?(c)exactly one subject?

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Answered: In a certain school, 60 students in a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 3232 4545 2121 5050 3636 4444 2626 2020…
Use the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. A popular urban legend is that more babies than usual are born during certain phases of the lunar cycle, especially near the full moon. Suppose that a certain paper classified births according to the lunar cycle. Data for a sample of randomly selected births, consistent with summary quantities in the paper, are given in the accompanying table. Lunar Phase Numberof Days Numberof Births New Moon 24 7,670 Waxing Crescent 152 48,442 First Quarter 24 7,589 Waxing Gibbous 149 47,814 Full Moon 24 7,711 Waning Gibbous 150 47,595 Last Quarter 24 7,733 Waning Crescent 152 48,240 Calculate the value of the Χ2 goodness-of-fit test statistic that could be used to determine if the distribution of number of births in each lunar phase is what would be expected based on the number of days in each phase. Use the value of the test statistic to…
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…
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A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 3030 3939 5353 3838 3333 5151 2222 3838…
Probability. Please assist me in these 2 short questions.
Suppose we know that at a University XYZ that 30% of students receive an A in their introductory statistics class, 30% receive a B, 20% receive a C, 10% receive a D, and 10% receive an F. For comparison, a sample of 300 students at University ABC is taken and 20% received an A, 28% received a B, 26% received a C, 15% received a D, and the remaining students failed the class. When testing (at the 5% level of significance) whether the proportions between the two universities are different, what is the null and alternative hypotheses
Why is it important to ensure that research participants' names and other identifying information are not included in the notes and other researcher data? Select one. O Only certain studies need to keep participant information confidential. O Anonymity protects the research participant from being discriminated against in the event another agency/entity has access to the raw data. O It is not necessary for respondents to remain anonymous in research. O In double blind studies, the participant does not need to remain anonymous.
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