Answer:
Step-by-step explanation:
Given
Required
Determine the formula
First, we need to solve common difference (d)
Take n as 2
Represent each function as a sum of the previous
Represent the function as
Reorder
Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang
2 answers:
You might be interested in
Answer:
a) Are dependent since we are mesuring at the same individuals but on different times and with a different method
b) If we see the qq plot we don't have any significant deviation for the values and we don't have any heavy tail so we can conclude that we can approximate the differences with the normal distribution.
c)
So the p value is higher than the significance level given, so then we can conclude that we FAIL to reject the null hypothesis. So we can conclude that the mean differences is NOT significantly different from 0 .
Step-by-step explanation:
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
The Q-Q plot, or quantile-quantile plot, "is a graphical tool to help us assess if a set of data plausibly came from some theoretical distribution such as a Normal or exponential".
Let put some notation
x=value for A , y = value for B
A: 379, 378, 328, 372, 325, 304, 356, 309, 354, 318, 355, 392
B: 372, 376, 328, 368, 283, 252, 369, 321, 379, 303, 328, 411
(a) Are the two samples paired or independent? Explain your answer.
Are dependent since we are mesuring at the same individuals but on different times and with a different method
(b) Make a normal QQ plot of the differences within each pair. Is it reasonable to assume a normal population of differences?
The first step is calculate the difference and we obtain this:
d: 7,2,0,4,42,52,-13,-12,-25,15,27,-19
In order to do the qqplot we can use the following R code:
d<-c(7,2,0,4,42,52,-13,-12,-25,15,27,-19)
qqnorm(d)
And the graph obtained is attached.
If we see the qq plot we don't have any significant deviation for the values and we don't have any heavy tail so we can conclude that we can approximate the differences with the normal distribution.
(c) Choose a test appropriate for the hypotheses above and justify your choice based on your answers to parts (a) and (b). Perform the test by computing a p-value, make a test decision, and state your conclusion in the context of the problem
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a two tailed test the p value is given by:
So the p value is higher than the significance level given, so then we can conclude that we FAIL to reject the null hypothesis. So we can conclude that the mean differences is NOT significantly different from 0 .
Answer:
The answer is "$ 11,961.43"
Step-by-step explanation:
Given values:
P = $ 9500
r= 2.1 %
time (t)= 11 year
total quarterly year =4
Formula:
quarterly time =
Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
