What is the slope of the following line? y-7=(x+2)
1 answer:
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This is called "Scientific Notation"
So you will always see the 10... Don't worry about it but worry if it is negative or positive because the sign will determine how to move the decimal point.
So, since it is negative then we will be moving the decimal point to the left. And, if it was a positive 3 then we'd move the decimal point to the right!
We will be moving it to the left "3" times because it says - 3 not - 5, etc...
So just move the decimal 3 times in this case and there you go, your standard form. I forgot what the other form is but I can still solve for it...
I hope this helped if you have any questions then feel free to ask!!
So you will always see the 10... Don't worry about it but worry if it is negative or positive because the sign will determine how to move the decimal point.
So, since it is negative then we will be moving the decimal point to the left. And, if it was a positive 3 then we'd move the decimal point to the right!
We will be moving it to the left "3" times because it says - 3 not - 5, etc...
So just move the decimal 3 times in this case and there you go, your standard form. I forgot what the other form is but I can still solve for it...
I hope this helped if you have any questions then feel free to ask!!
Answer:
(a) <em>H₀</em>: <em>μ</em> ≤ 10. vs. <em>Hₐ</em>: <em>μ</em> > 10.
(b) The test statistic value is 1.86.
(c) The critical value to test the phone manufacturer's claim is 1.301.
(d) The battery life of the new touch screen phone is not more than 10 hours.
Step-by-step explanation:
In this case we need to determine the significance of the claim made by the phone manufacturer, that the battery life of the new touch screen phone is more than twice as long as that of the leading product.
The information provided is:
(a)
The hypothesis can be defined as follows:
<em>H₀</em>: The battery life of the new touch screen phone is not more than 10 hours, i.e. <em>μ</em> ≤ 10.
<em>Hₐ</em>: The battery life of the new touch screen phone is more than 10 hours, i.e. <em>μ</em> > 10.
(b)
As the population standard deviation is not provided, we will use a <em>t</em>-test for single mean.
Compute the test statistic value as follows:
The test statistic value is 1.86.
(c)
The significance level of the test is, <em>α</em> = 0.10.
The degrees of freedom will be:
Compute the critical value as follows:
*Use a <em>t</em>-table for the value.
Thus, the critical value to test the phone manufacturer's claim is 1.301.
(d)
Decision rule:
If the test statistic value is less than the critical value then the null hypothesis will be rejected and vice-versa.
t = 1.86 > t₀.₁₀, ₄₄ = 1.30
The calculated <em>t</em>-value of the test is more than the critical value.
The null hypothesis will not be rejected.
Thus, it can be concluded that the battery life of the new touch screen phone is not more than 10 hours.