What value of n makes the equation true? 1/2 (n + 4) = 6 A. 8 B. -1 C. 2 D. 4

What type of graph organizes data into 4 groups of equal size, and is often used to compare two sets of data.

aliina [53]

The plot that organizes the data into 4 groups of equal sizes is box and whisker plot.

The image below shows a box and whisker plot. Following are the elements of box and whisker plot:

Minimum = This is the smallest value of the data set

Q1 = First (Lower) Quartile of the data set. 25% of the data values lie below this point

Q2 = Second Quartile or Median. This is the central value so 50% of the data values lie below this point

Q3 = Third (Upper) Quartile of the data set. 75% of the data values lie below this point.

Maximum = This is the maximum value of the data set.

Based on box and whisker plot we can compare two or more sets of data by comparing the spread of the data. We can also directly observe from the box and whisker plot if the data is uniform, normal or skewed. Using box and whisker plot we can also visualize any outliers that may be in the data.

8 0

3 years ago

50% of babies are born female.Olive wants to find the probability 20 or more of the 50 babies born today were female. If we use

Anna [14]

Answer:

D. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times.

3 0

3 years ago

Assume that the paired data came from a population that is normally distributed. using a 0.05 significance level and dequalsxmin

Artemon [7]

"Assume that the paired data came from a population that is normally distributed. Using a 0.05 significance level and d = (x - y), find $\bar{d}$ , $s_{d}$ , the t-test statistic, and the critical values to test the claim that $\mu_{d} = 0$ "

You did not attach the data, therefore I can give you the general explanation on how to find the values required and an example of a random paired data.

For the example, please refer to the attached picture.

A) Find $\bar{d}$
You are asked to find the mean difference between the two variables, which is given by the formula:
$\bar{d} = \frac{\sum (x - y)}{n}$

These are the steps to follow:
1) compute for each pair the difference d = (x - y)
2) sum all the differences
3) divide the sum by the number of pairs (n)

In our example:
 $\bar{d} = \frac{6}{8} = 0.75$ 

B) Find $s_{d}$
You are asked to find the standard deviation, which is given by the formula:
 $s_{d} = \sqrt{ \frac{\sum(d - \bar{d}) }{n-1} }$

These are the steps to follow:
1) Subtract the mean difference from each pair's difference
2) square the differences found
3) sum the squares
4) divide by the degree of freedom DF = n - 1

In our example:
$s_{d} = \sqrt{ \frac{101.5}{8-1} }$
= √14.5
= 3.81

C) Find the t-test statistic.
You are asked to calculate the t-value for your statistics, which is given by the formula:
$t = \frac{(\bar{x} - \bar{y}) - \mu_{d} }{SE}$

where SE = standard error is given by the formula:
$SE = \frac{ s_{d} }{ \sqrt{n} }$

These are the steps to follow:
1) calculate the standard error (divide the standard deviation by the number of pairs)
2) calculate the mean value of x (sum all the values of x and then divide by the number of pairs)
3) calculate the mean value of y (sum all the values of y and then divide by the number of pairs)
4) subtract the mean y value from the mean x value
5) from this difference, subtract $\mu_{d}$
6) divide by the standard error

In our example:
SE = 3.81 / √8
= 1.346

The problem gives us $\mu_{d} = 0$ , therefore:
t = [(9.75 - 9) - 0] / 1.346
= 0.56

D) Find $t_{\alpha / 2}$
You are asked to find what is the t-value for a 0.05 significance level.

In order to do so, you need to look at a t-table distribution for DF = 7 and A = 0.05 (see second picture attached).

We find $t_{\alpha / 2} = 1.895$ 

Since our t-value is less than $t_{\alpha / 2}$ we can reject our null hypothesis!!

7 0

3 years ago

Given f(x) = 5x - 1 what is f(-2)?

Finger [1]

Answer:

-11

Step-by-step explanation:

Plug in -2 for x

5(-2) - 1

Order of operations (or PEMDAS) tells you to multiply first giving you:

-10 - 1

-10 - 1 = -11

3 0

3 years ago

Help me please with the problem!!!!!!

NISA [10]

Answer:

D. 8

Step-by-step explanation:

We need to count how many are longer than 7. There are 4 leaves that are 7 inches long. 3 are 8 inches long. 1 in 9 inches long. Adding these up gives us our answer. Let x be the leaves 7 inches or longer.

4+3+1=x

Add 3 and 1.

4+4=x

Add 4 and 4

8=x

There are 8 leaves that are 7 inches or longer.

4 0

3 years ago