we have given y interms of x.
we have given that add 2 to x.
which means ![y=x+2](https://tex.z-dn.net/?f=%20y%3Dx%2B2%20)
so we have
.
so when x
.
.
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John brought 20 water melons each water melon cost him 2 dollars. He gave his friend Bob 3/4 of the watermelons. In return bob gave him double the amount of water melons back. How many watermelons does John have now? How much money did he spend on each water melon?
Step-by-step explanation:
The mode is 7 because it is 5 times
Yes because 26 is an even number
Answer:
Explained below.
Step-by-step explanation:
(1)
The hypothesis can be defined as follows:
<em>H</em>₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.
<em>H</em>ₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.
(2)
Use Excel to compute the sample mean and standard deviation as follows:
![\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Ctext%7BAVERAGE%28array%29%7D%3D24.917%5C%5C%5C%5Cs%3D%5Ctext%7BSTDEV.S%28array%29%7D%3D8.683)
Compute the test statistic as follows:
![t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x-%5Cmu%7D%7Bs%2F%5Csqrt%7Bn%7D%7D%3D%5Cfrac%7B24.917-30%7D%7B8.683%2F%5Csqrt%7B36%7D%7D%3D-3.51)
The degrees of freedom is:
df = n - 1
= 36 - 1
= 35
Compute the p-value as follows:
![p-value=P(t_{35}](https://tex.z-dn.net/?f=p-value%3DP%28t_%7B35%7D%3C3.51%29%3D0.0006)
(3)
The <em>p</em>-value = 0.0006 is very small.
The null hypothesis will be rejected at any of the commonly used significance level.
(4)
There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.