Solution :
Given :
Sample mean, ![$\overline x = 714.2$](https://tex.z-dn.net/?f=%24%5Coverline%20x%20%3D%20714.2%24)
Sample size, n = 40
Standard deviation, s = 83.2
∴ The null hypothesis is ![$H_0 : \mu = 703.5$](https://tex.z-dn.net/?f=%24H_0%20%3A%20%5Cmu%20%3D%20703.5%24)
Alternate hypothesis is ![$H_a : \mu > 703.5$](https://tex.z-dn.net/?f=%24H_a%20%3A%20%5Cmu%20%3E%20703.5%24)
Test statistic :
![$z = \frac{\overline x - \mu}{s / \sqrt n}$](https://tex.z-dn.net/?f=%24z%20%3D%20%5Cfrac%7B%5Coverline%20x%20-%20%5Cmu%7D%7Bs%20%2F%20%5Csqrt%20n%7D%24)
![$z = \frac{714.2-703.5}{83.2 / \sqrt {40}}$](https://tex.z-dn.net/?f=%24z%20%3D%20%5Cfrac%7B714.2-703.5%7D%7B83.2%20%2F%20%5Csqrt%20%7B40%7D%7D%24)
z = 0.813
Now at α = 0.05, for a right tailed,
![$z_{critical} = 1.645$](https://tex.z-dn.net/?f=%24z_%7Bcritical%7D%20%3D%201.645%24)
Since,
, we fail to reject the null hypothesis.
Answer:
No
Step-by-step explanation:
To find out if 2 is a solution, replace all the x's with 2.
4(2 - 1) - 3(2 - 2) =8
4(1) - 3(0) = 8
4 - 0 = 8
4 = 8
Nope! False! 2 is not a solution.
Answer:
dc
Step-by-step explanation: