Answer: ![(15.263,\ 17.537)](https://tex.z-dn.net/?f=%2815.263%2C%5C%2017.537%29)
Step-by-step explanation:
According to the given information, we have
Sample size : n= 50
![\overline{x}=16.40](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D16.40)
![s=4.00](https://tex.z-dn.net/?f=s%3D4.00)
Since population standard deviation is unknown, so we use t-test.
Critical value for 95 percent confidence interval :
![t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010](https://tex.z-dn.net/?f=t_%7Bn-1%2C%5Calpha%2F2%7D%3Dt_%7B49%2C%200.025%7D%3D%202.009575%5Capprox2.010)
Confidence interval : ![\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20t_%7Bn-1%2C%20%5Calpha%2F2%7D%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
![16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)](https://tex.z-dn.net/?f=16.40%5Cpm%20%282.010%29%5Cdfrac%7B4%7D%7B%5Csqrt%7B50%7D%7D%5C%5C%5C%5C%3D16.40%5Cpm1.13702770415%5C%5C%5C%5C%3D16.40%5Cpm1.1370%5C%5C%5C%5C%3D%2816.40-1.1370%2C%5C%2016.40%2B1.1370%29%5C%5C%5C%5C%3D%2815.263%2C%5C%2017.537%29)
Required 95% confidence interval : ![(15.263,\ 17.537)](https://tex.z-dn.net/?f=%2815.263%2C%5C%2017.537%29)
Answer:
100 for 6 years a 6 mnt i.r of 8%
100×6÷12
=50
50÷12×6
25 of 8%
25×8÷100
2 ans..
Answer:
The correct answer will be:
![-\dfrac{62}{23}](https://tex.z-dn.net/?f=-%5Cdfrac%7B62%7D%7B23%7D)
Step-by-step explanation:
It is given that :
Initial temperature, ![T_1 = 0^\circ F](https://tex.z-dn.net/?f=T_1%20%3D%200%5E%5Ccirc%20F)
Final temperature,
![T_2 = -15\dfrac{1}{2}^\circ F\\\Rightarrow T_2 = -\dfrac{15\times 2+1}{2} ^\circ F\\\Rightarrow T_2 = -\dfrac{31}{2} ^\circ F](https://tex.z-dn.net/?f=T_2%20%3D%20-15%5Cdfrac%7B1%7D%7B2%7D%5E%5Ccirc%20F%5C%5C%5CRightarrow%20T_2%20%3D%20-%5Cdfrac%7B15%5Ctimes%202%2B1%7D%7B2%7D%20%5E%5Ccirc%20F%5C%5C%5CRightarrow%20T_2%20%3D%20-%5Cdfrac%7B31%7D%7B2%7D%20%5E%5Ccirc%20F)
Time taken :
![5\dfrac{3}{4}\ hrs = \dfrac{5 \times 4+3}{4}\ hrs = \dfrac{23}{4}\ hrs](https://tex.z-dn.net/?f=5%5Cdfrac%7B3%7D%7B4%7D%5C%20hrs%20%3D%20%5Cdfrac%7B5%20%5Ctimes%204%2B3%7D%7B4%7D%5C%20hrs%20%3D%20%5Cdfrac%7B23%7D%7B4%7D%5C%20hrs)
Change in temperature per hour:
![\dfrac{\text{Difference of temperature}}{\text{Total Time Taken}}\\\Rightarrow \dfrac{T_2-T_1}{\text{Total Time Taken}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BDifference%20of%20temperature%7D%7D%7B%5Ctext%7BTotal%20Time%20Taken%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7BT_2-T_1%7D%7B%5Ctext%7BTotal%20Time%20Taken%7D%7D)
Putting the values of temperatures and time:
![\dfrac{\dfrac{-31}{2}-0}{\dfrac{23}{4}}\\\Rightarrow \dfrac{\dfrac{-31}{2}}{\dfrac{23}{4}}\\\Rightarrow \dfrac{-31 \times 4}{2 \times 23}} \text{---- Error done by Wen at this step}\\\Rightarrow \dfrac{-31 \times 2}{23}}\\\Rightarrow \dfrac{-62}{23}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B-31%7D%7B2%7D-0%7D%7B%5Cdfrac%7B23%7D%7B4%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B%5Cdfrac%7B-31%7D%7B2%7D%7D%7B%5Cdfrac%7B23%7D%7B4%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B-31%20%5Ctimes%204%7D%7B2%20%5Ctimes%2023%7D%7D%20%5Ctext%7B----%20Error%20done%20by%20Wen%20at%20this%20step%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B-31%20%5Ctimes%202%7D%7B23%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B-62%7D%7B23%7D%7D)
The error done by Wen was during calculating the values of fraction.
So, the correct answer is :
instead of
It’s rose, I think! IM SORRY IF YOU GET IT INCORRECT