Answer:
225 in3
Step-by-step explanation:
5 x 5 = 25 as the base
25 x 9 = 225 as volume
If this is right, I would like brainliest
Answer:
We conclude that the calibration point is set too high.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1000 grams
Sample mean,
= 1001.1 grams
Sample size, n = 50
Alpha, α = 0.05
Population standard deviation, σ = 2.8 grams
First, we design the null and the alternate hypothesis
![H_{0}: \mu = 1000\text{ grams}\\H_A: \mu > 1000\text{ grams}](https://tex.z-dn.net/?f=H_%7B0%7D%3A%20%5Cmu%20%3D%201000%5Ctext%7B%20grams%7D%5C%5CH_A%3A%20%5Cmu%20%3E%201000%5Ctext%7B%20grams%7D)
We use One-tailed(right) z test to perform this hypothesis.
Formula:
![z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }](https://tex.z-dn.net/?f=z_%7Bstat%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Cbar%7Bx%7D%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%7D)
Putting all the values, we have
![z_{stat} = \displaystyle\frac{ 1001.1 - 1000}{\frac{2.8}{\sqrt{50}} } = 2.778](https://tex.z-dn.net/?f=z_%7Bstat%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B%201001.1%20-%201000%7D%7B%5Cfrac%7B2.8%7D%7B%5Csqrt%7B50%7D%7D%20%7D%20%3D%202.778)
Now, ![z_{critical} \text{ at 0.01 level of significance } = 2.326](https://tex.z-dn.net/?f=z_%7Bcritical%7D%20%5Ctext%7B%20at%200.01%20level%20of%20significance%20%7D%20%3D%202.326)
Since,
![z_{stat} > z_{critical}](https://tex.z-dn.net/?f=z_%7Bstat%7D%20%3E%20z_%7Bcritical%7D)
We reject the null hypothesis and accept the alternate hypothesis. We accept the alternate hypothesis. We conclude that the calibration point is set too high.