Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
![$H_0 : \mu = 13 $](https://tex.z-dn.net/?f=%24H_0%20%3A%20%5Cmu%20%3D%2013%20%24)
![$H_a : \mu \neq 13$](https://tex.z-dn.net/?f=%24H_a%20%3A%20%5Cmu%20%5Cneq%2013%24)
b). When the value of ![$\overline x = 12.84$](https://tex.z-dn.net/?f=%24%5Coverline%20x%20%3D%2012.84%24)
Test statics :
![$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $](https://tex.z-dn.net/?f=%24Z%3D%5Cfrac%7B%28%5Coverline%20x%20-%20%5Cmu%29%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%20n%7D%7D%20%24)
![$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $](https://tex.z-dn.net/?f=%24Z%3D%5Cfrac%7B%2814.82-13%29%7D%7B%5Cfrac%7B0.2%7D%7B%5Csqrt%20%7B25%7D%7D%7D%20%24)
![$=\frac{1.82}{0.04}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1.82%7D%7B0.04%7D%24)
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P
1 + ![\frac{r}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B100%7D)
=> A = 100 x ( 1 +
)^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
Answer: Less than.
Step-by-step explanation:
is less than 4 because
is 16. And
is 8.
A square has 4 equal sides which make up the perimeter.
Therefore the length of one side = (16x + 32y) / 4 = 4x + 8y Answer
Answer:
21 + 3x
Step-by-step explanation:
hope this helps