Answer: ($3.532, $4.166)
Step-by-step explanation:
Given : Significance level : ![\alpha: 1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.90%3D0.10)
Critical value : ![z_{\alpha/2}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.645)
Sample size : n= 157
Sample mean : ![\overline{x}=\$\ 3.849](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5C%24%5C%203.849)
Standard deviation : ![\sigma= \$\ 2.421](https://tex.z-dn.net/?f=%5Csigma%3D%20%5C%24%5C%202.421)
The confidence interval for population mean is given by :_
![\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)](https://tex.z-dn.net/?f=%5Ctext%7Bi.e.%20%7D%5C%24%5C%203.849%5Cpm%20%281.64%29%5Cdfrac%7B2.421%7D%7B%5Csqrt%7B157%7D%7D%5C%5C%5C%5C%5Capprox%5C%24%5C%203.849%5Cpm0.317%5C%5C%5C%5C%3D%28%5C%24%5C%203.849-0.317%2C%5C%24%5C%203.849%2B0.317%29%3D%28%5C%24%5C%203.532%2C%5C%24%5C%204.166%29)
Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)
Answer:
basta Mao nana siya
And ayw pug sa Kung wlay answer
Answer:
as xy=yw
a=33------(1)
now...let zyw be ext angle of triangle xyw
33+a=zyw
zyw=66
zyw=zyw=66
now by asp...
b=180-66-66
b=48....(2)
let vzw be ext angle of triangle xwz
c=a+b+33
c=33+48+33
c=114....(3)
No, because they will have different opinions and tastes! I hope this helps a ton!
Both means 'intersection'
as they are independent the prob is the product so the answer is 2/100*2.5/100