The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.
What is Significance Testing?
Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.
What are the seven steps involved in the above exercise are:
Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10
Using ∝ = 0.05₂ tail, the conclusion is given as follows:
Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]
= - 6/10/3.1622777
= -6/3.1622777
= -1.8973666
Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960
Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960
Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] | Z[tex]_{crit}[/tex] = -1.960 |
It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.
Learn more about Significance Testing at:
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[tex]3\sqrt{x} 6-4\sqrt{x} 6[/tex]
i need help with this problem this is radicals can you please explain to me how to do this it would be very helpful
When a is greater than one the parabola ___
Answer:
parabola is open upwards
Find the surface area of the triangular prism.
A triangular prism. The base has sides of 17 meters, 17 meters, and 16 meters. The height of the prism is 10 meters. Apothem goes from the base vertex to the midpoint of the base edge, 16 meters, and measures 15 meters.
The surface area is
square meters.
Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9
Answer:
x= -4, y=-3
Step-by-step explanation:
solving the two equations simultaneously you'll get x to be-4 and y to be -3
x+ 5y= -19
3x-y=-9
multiplying the second equation by5
15x-5y=-45
adding eqn 1 and eqn 3
16x= -64
x= -4
substituting into eqn 2
3(-4)-y= -9
-y= -9+12
-y= 3
y=-3
The diagram represents the factorization of a2+8a+12.
A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.
What is the missing number that will complete the factorization?
6
8
12
24
Answer:
The answer is 6
Step-by-step explanation:
Answer: 6
Step-by-step explanation: took the quiz
Round your answer to the nearest hundredth.
Answer:
67.98°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Express the difference between 0.35 and 2/5 as a decimal
PLEASE ONLY ANSWER B. (GIVING BRAINLIEST THANKS)
Answer:
[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]
Step-by-step explanation:
Help picture below problem 13
Answer:
B. Obtuse
Step-by-step explanation:
An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.
A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she
might teach about the letter S or the letter U, but not the letter M.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
What letters are CANT BE TAUGHT using this method? (There are 11.)
ОА
OB
Ос
OD
ОЕ
OF
OH
01
Answer:
01 she can teach alphabet using seven days name but not numbers.
Please help solve questions
Take some points
2x+3y<63y<-2x+6y<-2/3x+2As here < sign present line will be dashed and shading should be done below the line
So
(1,1)(1,0)(2,0)(-1,2)Graph attached
Answer:
Given inequality
[tex]\sf 2x + 3y < 6[/tex]
Rearrange to make y the subject
[tex]\sf \implies 2x + 3y < 6[/tex]
Subtract 2x from both sides:
[tex]\sf \implies 3y < -2x + 6[/tex]
Divide both sides by 3:
[tex]\sf \implies y < -\dfrac23x + 2[/tex]
When graphing inequalities
If the inequality sign is < or > then the line of the graph should be dashed.
If the inequality sign is ≤ or ≥ then the line of the graph should be solid.
If y < (less than) then the shading is below the line.
If y > (more than) then the shading is above the line.
Therefore, as the inequality is y < the line should be dashed and the shading should be below the dashed line.
To plot the line, substitute x = 0 and x = 3 into the equation:
[tex]\sf \implies -\dfrac23(0) + 2=2[/tex]
[tex]\sf \implies -\dfrac23(3) + 2=0[/tex]
Therefore, plot points (0, 2) and (3, 0). Draw a dashed straight line through the points. Shade below the dashed line.
Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers
B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2
C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2
F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2
= - sec(x - pie/2) + 2 = - csc(x) + 2
Please help!!!
John's water bill this month was $19.67. Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?
Answer:
$0.001967/gallon
Step-by-step explanation:
John uses alot of water.... and it sure is cheap.
19.67/10000 =
how can I solve 1 4/5 x 1/2?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
first we write 1 4/5 as an improper fraction:
[tex]1 \frac{4}{5}=\frac{5}{5}+\frac{4}{5}=\frac{5+4}{5}=\frac{9}{5}[/tex]
Now we multiply :
[tex]\begin{aligned}1 \frac{4}{5} \times \frac{1}{2} &=\frac{9}{5} \times \frac{1}{2} \\&=\frac{9 \times 1}{5 \times 2} \\&=\frac{9}{10}\end{aligned}[/tex]
Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?
Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.
can someone please help me out with this logarithm equation
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
•— QUESTIONLogarithmic equation : log2 + log x = 1•— ANSWERThe answer is x = 5•— SOLUTIONlog¹⁰2+ log¹⁰ x = 1x >0log¹⁰2 + log¹⁰ x = 12x = 10[tex] \times \frac{10}{2} [/tex]x = 5•— Therefore, the answer is x = 5
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;
Answer:
Volume of a rectangular pyramid:
[tex]V=\dfrac13lwh[/tex]
where:
[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = heightGiven:
[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ftSubstitute given values into the formula and solve for [tex]l[/tex]:
[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]
[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]
[tex]\implies 0.1875=0.375 l[/tex]
[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]
[tex]\implies l=0.5[/tex]
Therefore, the base length is 0.5 ft
I NEED HELP ASAP!!!!!
When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?
Answer:
A) 6.66% B) It's a decrease
(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)
$8400 is deposited at an APR of 5%. How much interest has been accrued after 6 years ?
Answer:
$2,856.80
Step-by-step explanation:
The formula for the balance of an account earning interest compounded annually is ...
A = P(1 +r)^t . . . . where P is the principal invested at annual rate r for t years
__
Using the given values, we find the account balance to be ...
A = $8400(1 +0.05)^6 ≈ $11,256.80
The excess over the initial investment is the interest earned:
$11,256.80 -8,400 = $2,856.80
The account has accrued $2,856.80 in interest after 6 years.
_____
Additional comment
If the account earns simple interest, it is computed using ...
I = Prt = $8400(0.05)(6) = $2,520
i need the answer pls help pls
Answer:
B
Step-by-step explanation:
x² - 8x + 97 = 0
the general form to solve such quadratic equations is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -8
c = 97
so, we get
x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =
= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =
= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i
A, B, C, D are points on a line.
AB = 1
BC = 2
CD = 4
Find the length of segment AD. Consider all possibilities.
So far, I've only gotten 7, 5, and 1. But I know there is one left. Can you guys help?
The points A, B, C and D are collinear points
The length of the segment AD is 7 units
How to determine the length AD?The given parameters are:
AB = 1
BC = 2
CD = 4
Because the points are on the same line, then the following is the possible equation
AD = AB + BC + CD
Substitute known values
AD = 1 + 2 + 4
Evaluate the sum
AD = 7
Hence, the length of the segment AD is 7 units
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Keisha is jogging from her house to school. Her school is 4 1/2 miles from her house. She has gone 3/8 miles so far. How many miles does Keisha still have to jog?
Pls answerrrrrrrrrrrrrrrrrrrrrr
Answer:
13
Step-by-step explanation:
the two lines with y in them are the same length
6y = y+65
5y = 65
y = 13
Please help as fast as possible
[tex]\rm Answer:[/tex]
20.125%
To find the relative frequency, divide the frequency(f) by the total number of data values (n).[tex]\rm \# KiroToshiroComeback[/tex]
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
Δ perimeter of swimming area:
total length measure of all sides200√3 + 200√6 + 400 + 200( 200√3 + 200√6 + 600 ) m1436.3 mΔ area of roped off section:
1/2 base * height1/2 * (200+200√3)(200√3)20000√3 + 60000 m²94641 m²A club swimming pool is 22 ft wide and 44 ft long. The club
members want an exposed aggregate border in a strip of
uniform width around the pool. They have enough material for
432 ft squared. How wide can the strip be?
Answer:
968 is what they need and no they do not enough material
Step-by-step explanation:
What I always do on these questions is length times width and they need 536 more material
What is a[tex]\frac{1}{3}[/tex] As a ratio?
Please help me thank you so much!
Answer: the third one
Step-by-step explanation: how i know by guessing
If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?
Answer:
1.5 hr
Step-by-step explanation:
d = rt
re-arrange to
d/r = t
60 miles / 40 miles/hr = 1.5 hr