Answer: = (the third option)
Step-by-step explanation
Answer:
eahti-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that:
Mean μ= 100
standard deviation σ = 2.6
sample size n = 9
sample mean X = 100.6
The null hypothesis and the alternative hypothesis can be computed as follows:
![H_o : \mu \leq 100](https://tex.z-dn.net/?f=H_o%20%3A%20%5Cmu%20%5Cleq%20100)
![H_1 :\mu > 100](https://tex.z-dn.net/?f=H_1%20%3A%5Cmu%20%3E%20100)
The numerical value for the test statistics is :
![z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B100.6-%20100%7D%7B%5Cdfrac%7B2.6%7D%7B%5Csqrt%7B9%7D%7D%7D)
![z = \dfrac{0.6}{0.8667}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B0.6%7D%7B0.8667%7D)
z = 0.6923
At ∝ = 0.05
![t_{\alpha/2 } = 0.025](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%20%7D%20%3D%200.025)
The critical value for the z score = 0.2443
From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64
P- value = 0.244
c> If the true population mean is 101.3 ;
Then:
![z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B101.3-%20100.6%7D%7B%5Cdfrac%7B2.6%7D%7B%5Csqrt%7B9%7D%7D%7D)
![z = \dfrac{0.7}{0.8667}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B0.7%7D%7B0.8667%7D)
z = 0.808
From the normal z tables
P value = 0.2096
The answer is x².
f(x) = <span>5x - 6
</span>g(x) = x²<span> - 5x + 6
(f + g)(x) = f(x) + g(x)
= </span>5x - 6 + x² - 5x + 6
= x² + 5x - 5x + 6 - 6
= x² + 0 + 0
= x²