The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.
A test statistic is a numerical value calculated from sample data in hypothesis testing.
Given that
Sample 1: Store M
Sample size, [tex]n_1[/tex] = 35,
Sample mean, [tex]\bar{X_1}[/tex] = 300,
Standard deviation, [tex]s_1[/tex] = 40.
Sample 2: Store V
Sample size, [tex]n_2[/tex] = 40,
Sample mean, [tex]\bar{X_2}[/tex] = 290,
Standard deviation, [tex]s_2[/tex] = 35.
The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,
[tex]\mu_1 =\mu_2[/tex].
The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,
[tex]\mu_1 \neq\mu_2[/tex].
Under the null hypothesis, the test statistic is
[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]
[tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]
Hence the test statistic is 1.145.
Learn more about test statistics here:
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Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
Determine whether the statement is always, sometimes, or never true. Lines AB, CD, and EF determine plan P. If GH intersects AB, then GH lies on plan P.
=======================================================
Explanation:
The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is not on the plane P.
Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.
Therefore, the statement is sometimes true
common
factors of 10 and 20
Answer:
Step-by-step explanation:
common factor of 10 and 20 is 2 and 10 because 2 and 10 are the numbers which didides both the number exactly.
i need help badly due today
Answer:
Solid A
Step-by-step explanation:
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
solve the equation
f(n)=10⋅2n for n = -2
Answer:
f(n)= -40.
Step-by-step explanation:
24% of what is 25? Round to the nearest tenth.
It’s simple math I’m just confused
Answer:
26 units
Step-by-step explanation:
make a proportion: so sides correspond alongside eachother.
so, 15/10 =24/Y, i know you need to solve for x, but you have to find the other blank length.
now cross multiply, 10*24=15*Y
240=15Y
240/15=
Y= 16
now add Y to the length 10 to get X. So you get 10+16=26
What is the slope of a line that runs through (-2,4) and (3,7)
Answer: m=0.6
Step-by-step explanation:
Use the m= y2-y1/x2-x1 formula to calculate slope.
7-4=3
Divided by
3-(-2)=5
3/5= 3/5 or 0.6
Answer:
slope = 3/5
Step-by-step explanation:
slope = rise/run
---------------------------
y rises from 4 to 7 = 3
x runs from -2 to 3 = 5
slope = 3/5
Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you
Answer:
Step-by-step explanation:
B. You build credit by using credit cards so b is the answer.
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
Find the volume. If you have any problems please tell me thank you.
Answer:
Step-by-step explanation:
Formula = V = l x w x h
V = 4.25 x 2.75 x 5
V = 58.438 --> 58.44
Evaluate 4x - y if x = 3 and y = 6
Answer:
The answer is 6
Step-by-step explanation:
4 (3) - 6
12 - 6
= 6.
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45
What is the volume of this cube?
Answer:
1 cubic ft
Step-by-step explanation:
Volume = Length × width × height
= 1 × 1 × 1
= 1
Answer:
1 cubic ft
Step-by-step explanation:
Volume = l × w × h
= 1 × 1 × 1
= 1 cubic ft
Help will be appreciated I need help with math
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
Estimate the solution to the following system of equations by graphing. 3x + 5y = 14
6x - 4y = 9
Step-by-step explanation:
hope helps u
have a nice day
Can someone help me please?
Answer:
.08
Step-by-step explanation:
Answer:
Hi, there your answer is 0.08
Step-by-step explanation:
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
Any Answers and explanation to this?
Answer:
give a thanks first and then ill tell you
Step-by-step explanation:
Answer:
Maybe it's D) or c) if not i'm du.mb and sorry
Step-by-step explanation:
a letter to PTA chairman about school problems
Answer:
Dear Chairman/or MR.?….
Re: Concerns regarding insanitary conditions/health of children
I would be grateful if you could let me have the latest Minutes of PTA Meetings particularly if they relate to the health of young people as it relates to the lack of proper cleaning and the general insanitary conditions in the toilets and areas where food is consumed by children
Whilst l am aware that schools are always short of cash for what may be regarded as non-essentials, l would like the opportunity to discuss with you my ideas on dealing with this very important aspect of basic hygiene, cleanliness and education if it is found to be that the insanitary conditions are such which young people themselves may be partly responsible. If funds are needed for the purchase of specific items l have suggestions as to the raising of funds for these.
I look forward to hearing from you as a matter of urgency.
Yours sincerely,
, if addressed by name/ faithfully, if not by name,
Step-by-step explanation:
Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
Solve 2x^2
+ x - 4= 0.
x2 +
= 0
DONE
[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]
[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]
[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]
[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]
[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]
[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]
[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]
[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]
pls help!! correct answer will be marked brainliest
Answer:
67.7
Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]
Answer:
The rate of decreasing of the length is 0.25 cm/s.
Step-by-step explanation:
The surface area of the ice cube is:
[tex]A_{ice}=6x^{2}[/tex]
Where x is the side of the cube.
Let's take the derivative of A with respect to "t" to get the rate of change.
[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]
We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.
[tex]6=12(2)\frac{dx}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]
Therefore, the rate of decreasing of the length is 0.25 cm/s.
I hope it helps you!
Twice a number is 14. What is the number
Answer:
7
Step-by-step explanation:
Divide 14 by 2