Answer:
p-value = 0.1277
Step-by-step explanation:
p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.
Firstly we find the mean and standard deviation of the given data set.
⇒ Mean = ![\frac{4.41 +4.37+ 4.33+ 4.35 +4.30 +4.39 +4.36+ 4.38+ 4.40+ 4.39}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B4.41%20%2B4.37%2B%204.33%2B%204.35%20%2B4.30%20%2B4.39%20%2B4.36%2B%204.38%2B%204.40%2B%204.39%7D%7B10%7D)
⇒ Mean = 4.368
![Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }](https://tex.z-dn.net/?f=Standard%20deviation%28%5Csigma%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7Bn%7D%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%7B%28x_%7Bi%7D-%5Cbar%7Bx%7D%29%5E%7B2%7D%7D%20%7D)
where,
is mean of the distribution.
⇒ Standard Deviation = 0.034
Applying t- test:
Let out hypothesis is:
H₀: μ = 4.35
H₁: μ ≠ 4.35
Now,
Here, μ = Population Mean = 4.35
= Sample Mean = 4.368
σ = Standard Deviation = 0.034
n = 10
![t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}} }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%7D)
Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.
Then the p-value at 99% level of significance.
⇒ p-value = 0.1277
Answer:
276.75 miles
Step-by-step explanation:
12.3/3.2 × 72 = 276.75 miles
It will need 1.8 kilograms to have 25.0 g of nickel
11 million seventy six thousand eight hundred twenty five
Answer:
m8 its (3x)^1/2
Step-by-step explanation: