A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires subjects to sit in front of a blank TV screen and press a response button each time a dot appears on the screen. A total of 110 dots are presented during a 90-minute period, and the reach subject. Two groups of subjects are selected. The first group (n 5) is tested after they have been kept awake for 24 hours. The second group (n-10) is tested in the morning after a full night's sleep. The data for these two samples are as follows:
Awake 24 hours rested
x=35 X=24
ss=120 ss =360
On the basis of these data, can psychologist conclude that fatigue significantly increases errors on an attention task? Test with α-05 and report effect size.

Answers

Answer 1

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level


Related Questions

Can’t really put it in typeing form so just look at the picture ö

Answers

Answer:

5 cups is greater then 32 fl oz

Step-by-step explanation:

First, we change fl oz to cups, for it is easier to do.

Next, when we change 32 fl oz, it is going to be

32 fl oz=4 cups

Last, it is obvious that 5 cups is greater than 32 fl oz.

32 fl oz< 5 cups

This is correct!

Please mark me brainliest and have a  nice day! :)

Find the area of each figure. Round to nearest tenths

Answers

35 ft if I’m not mistaken you

Please help. Will give brainliest

Answers

Answer:

use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question

Step-by-step explanation:

Select the correct answer
Which dot plot represents this data set?
31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38
ОА.
....
..
...
:
.
х
31
32 33
34
35 36
37
38
39
OB.
...
.
32
33
34
35
36
37
38
Ос.
:
...
31
32
33
35
36
37
38
39
D.
...
..
...
.
31
32
33
34
38
29
О Е.

Answers

Answer is C
Step by step exploration

The correct dot plot represents this data set is shown in figure C.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The data set is,

31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38

Now, From data set;

31 is repeated by 3 times

32 is repeated by 2 times

35 is repeated by 2 times

37 is repeated by 1 times

38 is repeated by 3 times

Hence, The correct dot plot represents this data set is shown in figure C.

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I need the answer fast Pls HELP choose one then more chosises so you need to choose more chosies

Answers

Answer:

c

Step-by-step explanation:

there

Answer three (c) is the answer

the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth​

Answers

Answer:

Step-by-step explanation:

ratio of length to breadth=4:3

let breadth be x m

4/3=12/x(do cross multiplication)

3*12=x*4

36=4x

36/4=x

9=x

therefore breadth= 6m

Degree and Radian Measures

Convert the angle to radians. Leave as a multiple of /pi (π)
610°

a. 61/pi/36
b. 25/pi/18
c. 61/pi/18
d. 61/pi/9

Please select from the best choices provided

Answers

Answer:

C. 61/pi/18

Step-by-step explanation:

I calculated logically

Solve for x. Would like if both could be answered if not just answer one.

Answers

328 is the answer sir
328 is the best answer to this question!!

A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.

Answers

Answer:

4.42

Step-by-step explanation:

5.2 x 10-3 multiplied by 850. I got it right on my assignment

The mass of the 850 nails is 442 x 10⁻² kilograms.

What is multiplication?

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A carpenter bought 850 nails.

Each nail has a mass of 5.2 x 10-3 kg.

To find the total mass:

Use multiplication operation,

850 x 5.2 x 10⁻³

= 4420 x 10⁻³

= 442 x 10⁻²

Therefore, the mass is 442 x 10⁻² kilograms.

To learn more about the multiplication;

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Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The function is defined everywhere except at x=-6. The limit value is the function value at that point.

  f(6) = (6^2 -36)/(6 +6) = 0/12 = 0

The limit of the function is 0 as x → 6.

Answer:

A. -1/12

Step-by-step explanation:

This is the correct answer.

Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I

Answers

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

Determine the P( Gambler A wins the game ) if he starts with I dollars

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

Adam is a golfer who thinks that his drives have an average length of more than 200\text{ m}200 m200, start text, space, m, end text. He decided to test \text{H}_0: \mu=200\text{ m}H 0 ​ :μ=200 mstart text, H, end text, start subscript, 0, end subscript, colon, mu, equals, 200, start text, space, m, end text versus \text{H}_\text{a}:\mu>200\text{ m}H a ​ :μ>200 mstart text, H, end text, start subscript, start text, a, end text, end subscript, colon, mu, is greater than, 200, start text, space, m, end text using a sample of 494949 drives. His sample mean distance was 208\text{ m}208 m208, start text, space, m, end text and his sample standard deviation was 25\text{ m}25 m25, start text, space, m, end text. Adam wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Answers

Answer:

t=2.24 for khan

Step-by-step explanation:

The test statistic for the Adam's test is 2.24.

What is Test Statistic?

Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.

The formula to find the test statistic is,

t = (x - μ) / (s / √n)

Here x is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.

Given,

x = 208, μ = 200, s = 25 and n = 49

Substituting the values,

t = (208 - 200) / (25 / √49)

 = (8 × 7) / 25

 = 2.24

Hence the test statistic is 2.24.

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5. ¿Cuál es el resultado de simplificar a su minima expresión el siguiente
polinomio?:
2
3 3*
xy2 + 2x + 3xy2 + {x?y=5x

Answers

Answer:

El polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]

Sumemos estos terminos:

[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Espero te haya servido.

El resultado de simplificar  [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

El polinomio que queremos simplificar es

[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]

primero, recopilamos términos similares

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]

luego simplificamos los términos similares. Es decir

Para el [tex]xy^2[/tex] términos:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]

y para el [tex]x[/tex] términos:

[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]

la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]

Incluso podemos factorizar la respuesta final para obtener

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973

Can y’all help me with this and if u don’t know don’t answer

Answers

Answer:

D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2

D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2

D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3

Step-by-step explanation:

Let me just make sure.

The equation below describes a circle. What are the coordinates of the center
of the circle?
(x+ 5)2 + (y + 7)2 = 212

Answers

Answer:Center =(-5,-7)

Step-by-step explanation:

what is the square route of 6,897?

Answers

Answer: 11 square root 57

Step-by-step explanation:

Answer:

The Square root of 6,897 is 83.04 the alternate form is 11√57

P.S If you feel this answer is satisfactory would you mark it brainiest.

On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?

Answers

Answer:

4 to 1

Step-by-step explanation:

The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.

is it just me or is anyone else getting less and less answers here like everyone just puts like “don’t know haha” or like a link it’s annoying

Answers

Answer:

Don't know hahaahahahaahahah

Answer:

I FEEL! ITS SO ANNOYING. I just need help

Step-by-step explanation:

Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds

Answers

Answer:

B

Step-by-step explanation:

i know this already from another

ANSWER: B
Explanation: The dude above me

Name the circle part L shown in the figure.

O Arc
O Sector
O chord
O radius

Answers

Answer:

Step-by-step explanation:

Please look at the image

Answers

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Ill give brainliest to first person to answer CORRECTLY! I don't have all day.

34 + 2 ⋅ 5 = ____

Answers

Answer:

180

Step-by-step explanation:

34+2=

36

36 . 5=

180

Answer:

44

Step-by-step explanation:

2x5=10

10+34=44

hope this helped :3

How many additional books does Tony get each month?

Answers

Answer:

3 books

Step-by-step explanation:

Answer:

3 books

Step-by-step explanation:

On the first 1st month Tony gets 11 book but on the second month Tony gets 14

14 books - 11 books = 3 books

There is a pattern of 3 new books each month.

(1 month = 3 new books)

Tony gets 3 additional books every/each month.


a) What fraction is equal to 50% of
1/3
?
b) What fraction is equal to 75% of 1
?

Answers

For letter a the fraction is 1/3 which is equal to 1/6 and 75% of 1 is 3/4

2 + 2 = ?




please help!

Answers

Answer:

4

Hope that this helps!

4 is your answer! Mark me Brainliest please

Application
Your family has a cable television package that costs $50 per month. Movies On-Demand
cost $5 each. Your family budgets $65 each month to spend on cable television costs.
Write and solve an inequality to determine the possible numbers of On-Demand movies
that your family can afford each month.
Inequality: 1
COD
>
s
>
<
>
DOO
Solution:

Answers

65=5x+50
15=5x
3=x
x ≤.3

Write an equation that represents a parallel line to y=1/2x + 4

Answers

Answer:

1/2

Step-by-step explanation:

help please this is frinckin hard

Answers

Answer:

Hello! answer: r = 7

Step-by-step explanation:

Hi im sorry I will try to explain this the simplest way possible! so all of this will add up to 180 we know 1 angle is 55 and the 1 that isnt labelled is 90 because its a complementary angle leta add those and subtract so we can figure out what our last angle will have to equal so... 55 + 90 = 145

180 - 145 = 35 so now we know the last angle will have to equal 35 r is just a place holder its just representing something multiplied by 6 subtracted by 7 will equal 35 so...

6 × 7 = 42 and 42 - 7 = 35 So 7 is r!! Hope that helps!

Plsss help. giving extra points if correct.

Answers

Answer:

98?

Step-by-step explanation:

PLEASE HELP ASAP ASAP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

----------------------------------------------------

[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

----------------------------------------------------

[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

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