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"Recent studies indicate that male students in grades 4-6 are taller, on average, than the corresponding females at the same age." This is the title of an article on a news website this morning. Upon reading the article, an econometrician reviews two available databases for the soccer matches of under-12-years old (U12) in 2021 from the Canada's soccer association website. The econometrician does not observe an obvious difference in the height of boys and girls of that age. The accompanying table shows her findings. Height of Young Boys and Girls, Grades 4-6, in inches Girls Boys S Boys "Boys S Girls n Girls Mean (Girls) Mean (Boys) 57.8 3.9 55 58.4 4.2 57 (Columns show mean, standard deviation and the sample size of each group) The econometrician asks you to: (a) Let your null hypothesis be that there is no difference in the height of females and males at this age level. Specify both null and the alternative hypothesis as per the standard format we discussed in lecture. (b) Find out the difference in height and the standard error of the difference. (c) Generate a 95% confidence interval for the difference in height. (d) Calculate the t-statistic for comparing the two means. Is the difference statistically significant at the 5% level of significance? How about 1%?

"Recent studies indicate that male students in grades 4-6 are taller, on average, than the corresponding females at the same age." This is the title of an article on a news website this morning. Upon reading the article, an econometrician reviews two available databases for the soccer matches of under-12-years old (U12) in 2021 from the Canada's soccer association website. The econometrician does not observe an obvious difference in the height of boys and girls of that age. The accompanying table shows her findings. Height of Young Boys and Girls, Grades 4-6, in inches Girls Boys S Boys "Boys S Girls n Girls Mean (Girls) Mean (Boys) 57.8 3.9 55 58.4 4.2 57 (Columns show mean, standard deviation and the sample size of each group) The econometrician asks you to: (a) Let your null hypothesis be that there is no difference in the height of females and males at this age level. Specify both null and the alternative hypothesis as per the standard format we discussed in lecture. (b) Find out the difference in height and the standard error of the difference. (c) Generate a 95% confidence interval for the difference in height. (d) Calculate the t-statistic for comparing the two means. Is the difference statistically significant at the 5% level of significance? How about 1%?

MATLAB: An Introduction with Applications
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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"Recent studies indicate that male students in grades 4-6 are taller, on average, than the corresponding females at the same age." This is the title of an article on a news website this morning. Upon reading the article, an econometrician reviews two available databases for the soccer matches of under-12-years old (U12) in 2021 from the Canada's soccer association website. The econometrician does not observe an obvious difference in the height of boys and girls of that age. The accompanying table shows her findings. Height of Young Boys and Girls, Grades 4-6, in inches Girls Вoys S Girls n Girls Мean (Boys)| воys " Boys Mean (Girls) 57.8 3.9 55 58.4 4.2 57 (Columns show mean, standard deviation and the sample size of each group) The econometrician asks you to: (a) Let your null hypothesis be that there is no difference in the height of females and males at this age level. Specify both null and the alternative hypothesis as per the standard format we discussed in lecture. (b) Find out the difference in height and the standard error of the difference. (c) Generate a 95% confidence interval for the difference in height. (d) Calculate the t-statistic for comparing the two means. Is the difference statistically significant at the 5% level of significance? How about 1%?
Transcribed Image Text:"Recent studies indicate that male students in grades 4-6 are taller, on average, than the corresponding females at the same age." This is the title of an article on a news website this morning. Upon reading the article, an econometrician reviews two available databases for the soccer matches of under-12-years old (U12) in 2021 from the Canada's soccer association website. The econometrician does not observe an obvious difference in the height of boys and girls of that age. The accompanying table shows her findings. Height of Young Boys and Girls, Grades 4-6, in inches Girls Вoys S Girls n Girls Мean (Boys)| воys " Boys Mean (Girls) 57.8 3.9 55 58.4 4.2 57 (Columns show mean, standard deviation and the sample size of each group) The econometrician asks you to: (a) Let your null hypothesis be that there is no difference in the height of females and males at this age level. Specify both null and the alternative hypothesis as per the standard format we discussed in lecture. (b) Find out the difference in height and the standard error of the difference. (c) Generate a 95% confidence interval for the difference in height. (d) Calculate the t-statistic for comparing the two means. Is the difference statistically significant at the 5% level of significance? How about 1%?
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