Answer: (11.95, 14.11)
Explanation:
Let x be a random variable that represent the number of years of education.
Given: Sample size : n= 26
Sample mean : ![\overline{x}=13.03](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D13.03)
Sample standard deviation : s = 3.22
Significance level : ![\alpha=100\%-90\%=10\%=0.1](https://tex.z-dn.net/?f=%5Calpha%3D100%5C%25-90%5C%25%3D10%5C%25%3D0.1)
Degree of freedom: df = n-1 = 25
Critical t-value for
and df = 25 will be
![t_{\alpha/2, df}=t_{0.05,25}=1.7081](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20df%7D%3Dt_%7B0.05%2C25%7D%3D1.7081)
90% confidence interval for mean:
![\overline{x}\pm t_{\alpha/2,df}\dfrac{s}{\sqrt{n}}\\\\=13.03\pm (1.7081)\dfrac{3.22}{\sqrt{26}}\\\\=13.03\pm (1.7081)\dfrac{3.22}{5.09902}\\\\=13.03\pm 1.08\\\\=(13.03-1.08,\ 13.03+1.08)\\\\ =(11.95,\ 14.11)](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20t_%7B%5Calpha%2F2%2Cdf%7D%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D13.03%5Cpm%20%281.7081%29%5Cdfrac%7B3.22%7D%7B%5Csqrt%7B26%7D%7D%5C%5C%5C%5C%3D13.03%5Cpm%20%20%281.7081%29%5Cdfrac%7B3.22%7D%7B5.09902%7D%5C%5C%5C%5C%3D13.03%5Cpm%201.08%5C%5C%5C%5C%3D%2813.03-1.08%2C%5C%2013.03%2B1.08%29%5C%5C%5C%5C%20%3D%2811.95%2C%5C%2014.11%29)
A 90% confidence interval for the mean number of years of education = (11.95, 14.11)
Answer:
The Jazz Age was a cultural period and movement that took place in America during the 1920s from which both new styles of music and dance emerged. Largely credited to African Americans employing new musical techniques along with traditional African traditions, jazz soon expanded to America's white middle class.
B. Canadian government provides healthcare to its citizens