Answer :
x = 2.8
Hope this helps!
Answer:
if by % this sign you mean x then
x=9
Step-by-step explanation:
x+3=12
x=12-3
x=9
Hello the answer would be approximately 394.57 good luck with the test
Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size
= 178
the sample size
= 226
the sample mean
= 54.4
the sample mean
= 74.5
population standard deviation
= 18.58
population standard deviation
= 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for
is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error = ![Z \times\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}](https://tex.z-dn.net/?f=Z%20%5Ctimes%5Csqrt%7B%5Cdfrac%7B%5Csigma_1%5E2%7D%7Bn_1%7D%20%2B%20%5Cdfrac%7B%5Csigma_2%5E2%7D%7Bn_2%7D%7D)
![1.645 \times\sqrt{\dfrac{18.58^2}{178} + \dfrac{9.52^2}{226}}](https://tex.z-dn.net/?f=1.645%20%5Ctimes%5Csqrt%7B%5Cdfrac%7B18.58%5E2%7D%7B178%7D%20%2B%20%5Cdfrac%7B9.52%5E2%7D%7B226%7D%7D)
![1.645 \times\sqrt{\dfrac{345.2164}{178} + \dfrac{90.6304}{226}}](https://tex.z-dn.net/?f=1.645%20%5Ctimes%5Csqrt%7B%5Cdfrac%7B345.2164%7D%7B178%7D%20%2B%20%5Cdfrac%7B90.6304%7D%7B226%7D%7D)
![1.645 \times\sqrt{2.34042}](https://tex.z-dn.net/?f=1.645%20%5Ctimes%5Csqrt%7B2.34042%7D)
2.52
The lower limit = ![( \overline x_1 - \overline x_2) - (M.O.E)](https://tex.z-dn.net/?f=%28%20%5Coverline%20x_1%20-%20%5Coverline%20x_2%29%20-%20%28M.O.E%29)
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit = ![( \overline x_1 - \overline x_2) + (M.O.E)](https://tex.z-dn.net/?f=%28%20%5Coverline%20x_1%20-%20%5Coverline%20x_2%29%20%2B%20%28M.O.E%29)
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)