Answer:
And replacing we got:
And the confidence interval for the difference of means would be given by:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
We have the following data given:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval is given by:
And replacing we got:
And the confidence interval for the difference of means would be given by:
Step-by-step explanation:
003:
To solve this, we'll be using the Pythagorean theorem, 
004:
For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/
.
005:
From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be /15.
Answer:
003:
004: 8/
005: /15
Company A
Income = 35,000 + 0.03x
Company B
Income = 25,000 + 0.05x
set them equal to see how much of sales Julia needs to make the same income at both companies.
30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
250,000 = x
Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.
So it's the 2nd choice.
The mode is defined as the number that appears most within a given sequence.
The median is the middle number of a given sequence listed from least to greatest.
Let's look for the mode.
We have:
4
5
7
8
9, 9
10.
9 appears the most, so the mode is 9.
Let's find the median now.
4, 5, 7, 8, 9, 9, 10.
Cross out the smallest number with the largest number until we can no longer do so.
5, 7, 8, 9, 9.
7, 8, 9.
8.
Your median is 8.
Your mode is 9.
I hope this helps!
