Answer:
See step by step exlanation
Step-by-step explanation:
Assuming normal distribution
N( μ₀ , σ )
In this case N ( 1000, 200)
From a random sample of 64 accounts we get:
n = 64
x = sample mean x = 1040
σ = standard deviation of the population σ = 200
1.-Test Hypothesis
Null Hypothesis H₀ x = μ₀ = 1000
Alternative Hypothesis Hₐ x ≠ μ₀
The alternative hypothesis implies a two tail-test. Given that n > 30 and σ is known we will use z-table
2.- z(s) = ( x - μ₀ ) / σ/√n
z(s) = ( 1040 - 1000 ) / 200/ √64
z(s) = 40*8/200
z(s) = 1,6
3.-P-val for z (score 1,6) p-value = 0,0548
4.- If significance level is 0,05 then α = 0,05 and α/2 = 0,025
p-value > α/2
Then the z(s) < z(c) 1,6 < 1,96 where z(c) is z score for α/2
We should accept H₀
5.-We can claim that at 95 % (of Confidence Interval) the population mean is not significantly different from 1000 $
the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.
1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?
2. About what percentage of bags weigh less than 49.8 lb?
3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4?
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Answer:
68%16%2.5%Step-by-step explanation:
1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.
__
2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.
__
3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.
_____
Additional comment
It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value. Write information given with correct symbols. Hypothesis interpret the p-value. b) A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use? c) Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tailed test? d) What should you do if α = p-value?
Answer:
A.)
H0: μ ≤ 31
H1: μ > 31
B.)
H0: μ ≥ 16
H1: μ < 16
C.)
Right tailed test
D.)
If Pvalue is less than or equal to α ; we reject the Null
Step-by-step explanation:
The significance level , α = 0.01
The Pvalue = 0.0264
The decision region :
Reject the null if :
Pvalue < α
0.0264 > 0.01
Since Pvalue is greater than α ; then, we fail to reject the Null ;
Then there is no significant evidence that the mean graduate age is more Than 31.
B.)
H0: μ ≥ 16
H1: μ < 16
Null Fluid contains 16
Alternative hypothesis, fluid contains less than 16
One sample t - test
C.)
Null hypothesis :
H0 : μ ≤ 12
. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.
Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12
d.)
If Pvalue is less than or equal to α ; we reject the Null.
Mitchell earns $40 for mowing the lawn. He spends $5 on ice cream and $15 on a book. Write an equation for how much money Mitchell has left.
ASAP ill give brainliest
Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.
Answer:
Step-by-step explanation:
This is the answer
Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent
Answer:
17. C 60°
18. D 121°
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
17. (161° -41°)/2 = 60°
__
18. (? -59°)/2 = 31°
? = 59° +2(31°) = 121°
External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
What is the formula for external angle made by extending two chords?External angle is half of the difference between angles subtended by arcs.
So in problem 17,
∠C = (161°-41°)/2 = 60°
In problem 18,
We got the external angle = 59°
Let us take the angle subtended by arc = x
so,
(x-59°)/2 = 31°
x = 121°
Therefore, External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
To get more about circles refer to the link,
brainly.com/question/25938845
convertir 5000 cm a km
Answer:
0.05 kilometer is the answer
Step-by-step explanation:
hope this answer may help you
What is the angle of Z?
Answer:
Angle Z is 33.
Step-by-step explanation:
Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.
Change 79/3 into a mixed number
Answer:
26 1/3
Step-by-step explanation:
I simplfied 79/3 on paper :)
2
The coordinates of the three
vertices of square ABCD are
A(-3,5), B(1,7), and C(3,3). What
are the coordinates of vertex D?
>
a) (-4,2)
go to station 1
b) (-2,1)
go to station 5
c) (-1,1)
go to station 6
d) (-4,-2)
go to station 3
Answer
C)(-1,1)
Step-by-step explanation:
An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an
angle of elevation of 50 degree. Find the height above the ground.
Answer:
The height is 14.3 km
Step-by-step explanation:
Given
[tex]distance= 12km[/tex]
[tex]\theta= 50[/tex] --- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:
[tex]tan(\theta) = \frac{AB}{BC}[/tex]
Where AB represents the height and BC, the distance.
So:
[tex]tan(50) = \frac{AB}{12}[/tex]
Make AB the subject
[tex]AB = 12 * tan(50)[/tex]
[tex]AB = 12 * 1.1918[/tex]
[tex]AB = 14.3016[/tex]
[tex]AB = 14.3km[/tex] --- approximated
The height of the airplane above the ground is 9.19 km.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the airplane above the ground. Hence:
sin(50) = h / 12
h = 9.19 km
The height of the airplane above the ground is 9.19 km.
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
need help understanding this question
Answer:
-9<x≤2
Step-by-step explanation:
The domain is the x values
If we look at the line, we see a closed circle when x=2, so x is less than or equal to 2
The other circle is open and is at -9, so x is greater than -9
-9<x≤2
Lemme know if u need more explanation!
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here
Answer:
Step-by-step explanation:
Tom sold half of his comic books and then bought 8 more. He now has
18. How many did he begin with?
Answer:
20
Step-by-step explanation:
18 - 8 = 10
10 x 2 = 20
check:
20 divided by 2 = 10
10 + 8 = 18
answer: 20
helpppppp ill give brainliest answer if you know
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
The diameter of a circle is 10 m. Find its area to the nearest tenth.
Answer:
78.54 m^2
Step-by-step explanation:
The computation of the area of the circle is shown below:
As we know that
Area of the circle = πr^2
Also
Diameter = 2r
10 = 2r
r = 5
So, the area of the circle is
= 3.14 × 5^2
= 78.54 m^2
40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6
Answer: Credit to work in process invetory-assembly
Answer:
its C because it makes the most sense "Credit to work in process invetory-assembly."
Step-by-step explanation:
10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?
Find the circumference of a button if its radius is 15 mm
Answer:
94.25mm
........................
Answer:
94.25 mm
Step-by-step explanation:
The circumfrence of a cirlce can be found using the following formula:
C = 2 x PI x R
Circumfrence = 2 x 3.14 x 15
= 94.25
21m42n32p10
Зm 21n16 р5
Simplify
Step-by-step explanation:
meh dont knowThe hockey team won 60 out of the 80 games it played this year. What percent of the games did the team win?
Solve for b:19-b=31
Answer:
-12
Step-by-step explanation:
Someone please help me and thank you:)
Answer:
D
Step-by-step explanation:
Answer:
n+4=32 models this scenario.
This is because n+4 would show how many students are originally in the class.
Let me know if this helps!
NEED ANSWER QUICK!!
In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
88°
89°
91°
92°
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Answer:
(c) 91°
Step-by-step explanation:
Based on your description, it appears that angles 3 and 4 form a linear pair. This means angle 4 is the supplement to angle 3:
angle 4 = 180° -89°
angle 4 = 91°
Answer:
91°
Step-by-step explanation:
what is
6 over 9
and
11 over 88
Answer:
6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125
P.S. Dont fall for those link scams! ;)
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
Dan enlarged the size of a rectangle to a height of 22.4 in. What is the new width of the rectangle if it was originally 5.6 in tall and 1.4 in wide
Answer:
The new width is 5.6 in
Step-by-step explanation:
Given
New
[tex]H_2 = 22.4[/tex]
Old
[tex]H_1 = 5.6[/tex]
[tex]W_1 = 1.4[/tex]
Required
The new width
This is calculated using the following equivalent ratio
[tex]H_2 : W_2 = H_1 : W_1[/tex]
[tex]22.4 : W_2 = 5.6 : 1.4[/tex]
Express as fraction
[tex]W_2/22.4 = 1.4/5.6[/tex]
Multiply both sides by 22.4
[tex]W_2= 1.4/5.6 * 22.4[/tex]
[tex]W_2= 5.6[/tex]
What are the steps I need to solve this problem? 2x + 5 = 21
Step-by-step explanation:
subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5
What is a negative number minus a negative number?
Answer:
[tex]-x-(-y) = y-x[/tex]
Step-by-step explanation:
lets say you have two negative numbers, -x and -y (x and y are positive).
[tex]-x-(-y) = y-x[/tex]
Your answer is a positive number.
1. Laura buys a pack of 24 blueberry muffins that has a total
of 1,536 calories. What is her calorie intake, if she ate 3
muffins for breakfast?
Answer:
192
Step-by-step explanation:
you have divide 24 by 3 and once you get that you get 8 then you do the amount of calories divide by 8
Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n
Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough
It
Step-by-step explanation:
Answer:
10,000 i think....i hope this helps
Step-by-step explanation:
I am a rectangular prism.The volume is 360 cubic cm.My height is 12cm.My length is 6 cm.What is my width?
Answer:
5
Step-by-step explanation:
360/12/6=5
Double check: 5 x 6 x 12 = 360
Width = 5
Hope this helped! If it did, please give brainly! It would help a lot! :D