In 1908, W.S. Gossett performed a sleep study on 10 subjects, comparing the number of hours of sleep obtained by each subject with and without (in that order) the application of the drug hyoscyamine. The paired differences d were as follows: 1.0, 0.8, 1.1, 0.1, - 0.1, 4.4, 1.5, 1.6, 4.6, 3.4 At the 1% significance level, is the drug effective in increasing sleep

Answers

Answer 1

Answer:

Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that  the drug is not effective in increasing sleep.

Step-by-step explanation:

d              d²

1.0,          1

0.8,         0.64

1.1,           1.21

0.1,          0.01

- 0.1,       0.01

4.4,        19.36

1.5,          2.25

1.6,          2.56

4.6,         21.16

3.4          11.56

∑18.4      ∑59.76

1: We state our null hypothesis  as

H0 : μd= 0     against the claim Ha: μd ≠ 0  

2: The significance level is set at ∝  = 0.01

3: The test statistic under H0 is

        t= d`/ sd /√n

4:The critical region is t ≥ t ( 0.005) 9 = 3.250

5:Computation:

d`= ∑d/n= 18.4/10= 1.84

Sd² = ∑(di- d`)²/n-1 = 1/n-1 [∑di²- (∑di)² /n]

       = 1/9 [59.76 - (18.4)²/10]

        =(59.76 - 33.856)/9

          = 25.904/9

          = 2.8782

6: Conclusion:

Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that  the drug is not effective in increasing sleep.

This is because we have taken H0 as the mean of the difference is zero.

This can only be zero when the drug is not effective.


Related Questions

Help asap i will do brainlist and everything

Answers

Answer:

the picture isnt showing

PLEASE HELP! CORRECT ANSWERS ONLY!

Answers

A/8x8=19 192 so yea that the answer

Since mode is the most frequently occurring score, it can be determined directly from a frequency distribution or a histogram.
A. True
B. False

Answers

Answer:

A

Step-by-step explanation:

The mode describes the most frequently occurring score or observation in a distribution. The tallest bar would describe the most frequently occurring score. Hence, the mode can be inferred directly from a histogram.

A frequency distribution would have the frequency of the scores or observation on the vertical axis. Hence, the height of the bars can be used to infer which score has a greater frequency.

Hence, the frequency distribution or histogram could be used to directly deduce the mode of a distribution.

Learn more : https://brainly.com/question/16785562

Solve the following ineg
a) x² - 5x +4> 0
2​

Answers

Answer:

Inequality form: x<1 or x>4

Interval Notation:

(-∞,1)∪(4,∞)

I hope this helps you

Help me it’s not D !!!!

Answers

The answer to this is A.

PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.

Answers

Answer:

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

So

[tex]= 7-(-5) = 7+5 = 12[/tex]

Hence,

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

$899 computer; 20% discount

Answers

Answer:

it knocks off $179.80 or the final cost which is $719.20.

Step-by-step explanation:

Answer:

$719.20

Step-by-step explanation:

899*0.2=179.8

899-179.8=719.2

PLEASE I NEED HELPPPP

Answers

Answer:

r=3

Step-by-step explanation:

12 times 3 is 36

18 times 3 is 54

25 times 3 is 75

what you are doing is plugging in X and seeing what X is multiplied to get Y

r•x=y

Answer:

I really don't know

which grade math is this Caz bro

6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?

Answers

Answer:

0.92

Step-by-step explanation:

Harold filled his swimming pool over the weekend. The pool has a capacity of 540 gallons. Harold put in 180 gallons of water on Saturday. The garden hose that Harold used supplies 9 gallons of water per minute. How long did it take for Harold to fill the pool to capacity on​ Sunday? Define a variable for the unknown quantity. Write and solve an equation to answer the question.

Let m= the number of _________
a.) gallons in the pool on Sunday
b.) Minutes to fill the pool on Saturday
c.) gallons the garden hose puts in the pool on Sunday
d.) minutes to fill the pool on Sunday

An equation to represent the situation is __________=540.
a.) m+89
b.) 189m
c.) 9m+180
d.) 180m+9

So, m= _________. It took Harold ____________ minutes to fill the pool to capacity on Sunday.

Answers

Answer:

b

c

40

Step-by-step explanation:

I have already had this question before.

50 Points!!!!
In the following triangle BD is a median.

Find x and the measure of CD.

Answers

ure only giving 25 points and saying 50 lol
20-1
19
19+1
20

Answer:x=24

CD= just 7

Step-by-step explanation:

The video game store is having a 25% off sale on all video games. How much money will Sandra save if she buys a game that originally
cost $49.952

Answers

49.952 * 0.25 = 12.488
She saves $12.488

−6x + 6y = 6 −6x + 3y = −12

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

18:
A line has a slope of -4 and includes the points (-10,10) and (-7,k). What is the
value for k?
k=
19:
the point (3,4) lies on the graph of the equation 3y=ax+7, then the value of a is
Note: Use slash (/) to separate the numerator and denominator.
200:
Consider a sequence whose first five terms are: -1.75,-0.5,0.75,2,3.25
Which function (with domain all integers n21) could be used to define and continue this
sequence?
A f(n)=7/4(n-1)-5/4
B f(n)=5/4(n-1)-7/4
C f(n)=(7/4)n-5/4
D f(n)=(5/4)n-7/4

Need help with 18-20 plz help I put a picture there to I really need these ASAP

Answers

18 - K= -22
19- a = 5/3

i need help with this question please

Answers

Answer: it C

Step-by-step explanation: if it not incorrect sorry for the wrong answer

In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?


Choose 1 answer:

A. Jean-Paul

B. Albert


Which friend's bank balance has a greater absolute value?

Choose 1 answer:

A. Jean-Paul

B. Albert

Answers

Hey Hey

Answer 1: Jean-Paul (A)
Answer 2: Albert (B)

Hope this helps <3

Answer 1 A
Answer 2 B



Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the
total number of albums she has remaining, and x, the number of storage units Vanya owns?

A. Y=16x
B. Y=16x+3
C. Y=13x
D. Y=16x-3

Answers

Answer:

Step-by-step explanation: do y’all know answer

Answer:

d

Step-by-step explanation:

HELP ME PLEASEEEEEE​

Answers

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

Simplifying radicals! Please help me & Show WORK

Answers

Answer:

Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Step-by-step explanation:

We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]

Prime factors of 18 are: 2x3x3

Replacing [tex]\sqrt{18}[/tex] with its factors

[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]

We know that [tex]\sqrt{3^2}=3[/tex]

[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]

Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket

[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]

We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]

[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]

So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

what is the following quotient? 3sqrt60/3sqrt20

Answers

Answer:

Step-by-step explanation:

3 sqrt 60 / 3 sqrt 20

3 gets cancelled

(sqrt 20 × sqrt 3)/sqrt 20

sqrt 20 gets cancelled

Sqrt 3 is the answer

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)​

Answers

Is this question supposed to be a graph if so you should do make up a graph so we could see it

1. A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost
y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph
of the equation is shown. Describe what the slope and y-intercept represent.

Answers

Answer:

the slope is 10 dollars times how many ever shirts

the y-intercept is the design put on the shirt which costs 25

convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32

Answers

Answer:

59

9/5(15)+32 =59

Step-by-step explanation:

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

Answers

a

0

=

4

a

i

=

a

i

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

a) 15% of what is 12?

Answers

Answer: 80

Step-by-step explanation:

Given

15% of ? is 12

We multiply

Answer:

80

Step-by-step explanation:

15% × ? = 12

? =

12 ÷ 15% =

12 ÷ (15 ÷ 100) =

(100 × 12) ÷ 15 =

1,200 ÷ 15 =

80

PLS HELP I WILL GIVE BRAINLYEST PLSSSSS HELP

Answers

Answer: A.) 10

Step-by-step explanation:

Answer:

i'm thinking it's c

Step-by-step explanation:i'm jus built different

which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8

Answers

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

How to determine the matrix?

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

Read more about matrix at:

https://brainly.com/question/1821869

#SPJ2

what is the GCF of 16s^3t, 40s^5, and 68t^2

Answers

Answer The Greatest Common Factor of 16, 40, 68 is 4. But the GCF of 16s^3t, 40s^5 and 68t^2 is 1, as there are no common terms for these given alphanumeric terms.

Step-by-step explanation:

00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds​

Answers

each crate is 200 lbs

work:
1600/8=200

Find the slope of a line that passes through the points (-5, 3) and (-3, 8)

Answers

Answer:

Slope: 5/2 or 2.5

Step-by-step explanation:

1. Put both of the y values together on the top of a fraction and the x values on the bottom.

It should look like this: [tex]\frac{8-3}{-3-(-5)}[/tex]

2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.

I should now look like this: [tex]\frac{5}{2}[/tex]

3. That could be your answer as a fraction. Or you can take the extra step and  actually divide them. 5 divided by 2 is 2.5.

In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!

The slope of the will be "[tex]\frac{5}{2}[/tex]".

The given points are:

[tex](x_1, y_1) = (-5, 3)[/tex][tex](x_2, y_2) = (-3, 8)[/tex]

As we know,

Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

               [tex]= \frac{8-3}{-3-(-5)}[/tex]

               [tex]= \frac{5}{-3+5}[/tex]

               [tex]= \frac{5}{2}[/tex]

Thus the above answer is right.

Learn more about slope here:

https://brainly.com/question/19508711

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