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
I am un able to see the photo please re try so I can help
I dont think the answer is 129 unless you typed the problem in wrong. Order of operations say to do everything inside the perenthesis first so you would do the 3*2 which is 6 then divide the 12 by 6 and you get 2. so your new equation is 8^2+9(2)-7. Next distribute the 9 to the 2 that is inside the perenthesis. Square root the 8 also. Now it is 49+18-7. The answer would be 60 ...?
Answer:
hey:)
12:15-8:15=4hr
17:30-13:00=4:30hr
4+4:30=8:30hr
$11/hr therefore:
8:30×11= 8.5×11=93.5
and now round it to the nearest hundredth:) I hope this was helpful
6.14, and 9.21 are two decimals equivalent.