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Free_Kalibri [48]
2 years ago
10

Some students do homework with the TV on. Researchers wanted to see if people can work as effectively with distractions as witho

ut them. From a group of student​ volunteers, researchers randomly assigned half to do a relatively easy crossword puzzle in a quiet room and the other half to do the same crossword puzzle in a room in which a TV was on. Then each volunteer was to do a different relatively easy crossword puzzle under the other condition. Students were timed on how long it took to complete the puzzle and the difference in each​ student's quiet-room time and​ TV-room time was recorded. Which test is appropriate to use to determine if students take longer to complete the puzzle in the TV room compared to the quiet​ room, on​ average?
Mathematics
1 answer:
laila [671]2 years ago
8 0

Answer:

Paired test

Step-by-step explanation:

The above research is carried out using a set of participants who were used to gather data under two different conditions. When this type of research is performed there is a match between the two conditions based on the subjects used, hence, we can pair the condition with the subject to obtain a matched pair. This sort of test also called the dependent sample t test. Thses type of test is ideal when the data is quantitative and the data obtained from two groups are dependent.

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How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird
NARA [144]

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}

Then

Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\

Note that since

F \cap R=\varnothing, Perm(F)\cap Perm(R)\ne \varnothing

But since

B \cap R \ne \varnothing, Perm(B)\cap Perm(R)= \varnothing

and

B \cap F \ne \varnothing , Perm(B)\cap Perm(F)= \varnothing

Since

|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\

where |Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}

and

|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}

What we are looking for is the number of permutations of the 26 letters of the alphabet that do  not contain the strings fish, rat or bird, or

|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}

This link contains another solved problem on permutations:

brainly.com/question/7951365

6 0
2 years ago
You are making small pizzas. You have 12 cups of flour. Each pizza crust requires 3/
sveticcg [70]
Hello,

The answer is "16".

Reason:

Just divide 12 by 3/4:

12×4=48÷3=16
1×3=3÷3=1

16/1=16

Therefore they can make 16 pizza crusts!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
3 0
3 years ago
Read 2 more answers
What equation is parallel to the line 3x+y=5
Alex_Xolod [135]

Answer:

Any equation with the slope -3 and a y intercept that does not equal 5

Step-by-step explanation:

a line is parallel if the line have the same slope, and different y intercepts

3x+y=5  

in slope intercept form is

y=-3x+5

slope : -3

y intercept 5

3 0
3 years ago
Which is the least ...0.105 0.501 0.015 0.15
sergeinik [125]
The least is 0,015

hope this will help you 
3 0
3 years ago
Read 2 more answers
Select the correct answer.
ad-work [718]

Answer:

A' (-1, 2)

Step-by-step explanation:

(x, y) -> (-y, x)

A' (-1, 2)

B' (1, -2)

C' (2, -2)

D' (0, -2)

3 0
3 years ago
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