Adults in Turkey have mean caloric intake of 3500 calories per day (Wikipedia) with a standard deviation of 500 calories. A sample of 25 Ankara University students has an average intake of 3400 calories per day. Is this enough evidence to conclude that Ankara U. students average is not 3500 calories per day? Assume the distribution is normal.
A. State the null and alternative hypotheses.
B. What is the value of the test statistic?
C. Specify the rejection region?
D. State the conclusion.
Answer:
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) t = -1
C) the rejection region will be;
p-value < 0.05
D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Step-by-step explanation:
We are given;
Population mean; μ = 3500
Population standard deviation; σ = 500
Sample mean; x¯ = 3400
Sample size; n = 25
We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.
Thus, the hypothesis is defined as;
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) sample size is less than 30, thus we will use a t-test.
Formula for the test statistic is;
t = (x¯ - μ)/(σ/√n)
t = (3400 - 3500)/(500/√25)
t = -100/(500/5)
t = -1
C) since the sample is small, let's assume a significance level of 0.05.
Thus,the rejection region will be;
p-value < 0.05
D) from online p-value from t-score calculator attached using;
t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;
p-value ≈ 0.3273
This is greater than the significance value of 0.05.
Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?
Answer:
0.3
Step-by-step explanation:
A function is graphed below.
Which of the following represents the range of the function?
Answer:
el ranho de algo que esm ansgwne
Which of the following does not state a principle related to why ground wires are an effective safety device? O A. Electronic devices are protected from power surges by having insulated wires. B. Electricity will travel more easily through metal than through insulators. C. When enough electricity builds up, it could pass through highly resistant materials to get to the Earth. D. Electricity always wants to travel "downhill" toward the Earth.
A; electronic devices are protected from power surges by having insulated wires.
The option that does not state a principle related to why ground wires are an effective safety device is:
A. Electronic devices are protected from power surges by having insulated wires.
Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.
The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.
Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.
Hence, the correct answer is A.
Learn more about the insulated wires here:
https://brainly.com/question/3264493
#SPJ2
How do I solve this ?
Answer:
See attachment :D
Step-by-step explanation:
y = 2/3x + 2
This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.
The line intersects with points (-3,0) and (0,2).
Hope this is helpful ^^ Good luck with your test :D
At a sale, dresses were sold for $142 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?
Answer:
71%
Step-by-step explanation:
All you have to do is divide 142 by 200 to get the percent, which is 70.
what is the LCD of 8/9 and 7/8
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Answer:
The Least Common Multiple (LCM) of 8 and 9 is 72,
and the Least Common Multiple (LCM) of 7 and 8 is 56.
The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth. Must show work to receive full credit.
Please help
Answer:
6.4
Step-by-step explanation:
4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4
parallelogram =
2x, 3x - 15, 2x + 24, 2x
Work out the value of x.
X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18
Answer:
Step-by-step explanation:
The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"
so -
please help me thanks
solve (x – 3)2 = 81 quadratic equation
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.
Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, that is
DE = AB , substitute values
6x - 7 = 11 ( add 7 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
What is the value of |5| - | -5| - (-5)? The solution is
Answer:
5
Step-by-step explanation:
when we simplify it we get 5-5+5 which equals 5
37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.
Answer:
true
Step-by-step explanation:
Which fraction and decimal forms match the long division problem? A. B. C. D.
Answer:
C 4/15 and 0.266 repeating
Step-by-step explanation:
I used a calculator
the red knot speeds spring and summer in northern canada where it's breeding ground are located and winters as far south as the southern tip of South America.
a) Canada, where it's breeding ground located
b) Canada where it's breeding ground located,
c) canada, where it's breeding ground located,
d) correct as it is
witch one is correct
Answer: A
Step-by-step explanation:
uIf it included Northern in the answer choices than it should be capital because it is a location and with the comma after Canada helps clarify here its breeding ground is at and to stop it from being a run on sentence (tho It would be used with a period to stop a run on sentence but to help it here.)
HELP! WILL GIVE BRANLIEST!
(Question 12!)
Answer: c you welcome , also thx for points let me know how it feel failing your test
Step-by-step explanation:
Simplify.
2 + 8h + 5 + 2h =
Answer: 7+10h=
Step-by-step explanation:
Just add the numbers that match.
2+5= 7
8h+2h= 10h
Answer:
Step-by-step explanation:
2+8h +5 2h =7+ 10h
You add 2+5 and then add 8h and 2h
An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.
Answer:
ok..... so what is the question?
Step-by-step explanation:
Which situation describes a real-life rate?
Your uncle buys 2 gallons of milk and uses
of the milk to bake a cake.
O The computer has been on for 1.5 hours.
O A basketball player runs 10 feet down the court in 2 seconds.
O You run 2 miles on Monday, 3 miles on Tuesday, and 2 miles on Thursday.
Answer:
The computer has been on for 1.5 hours
What is the slope?
What is the y intercept?
What is the equation of the line written in slope-intercept from?
Answer:
Step-by-step explanation:
As we move along the graph from x = 2 to x = 3 (a change of 1), y decreases from y = 100 to y = 0 (a change of -100). Thus, the slope of this line is
m = rise / run = -100/1 = -100.
The y-intercept is the point where the graph crosses the y-axis, and is (0, 200).
The equation of this line in slope-intercept form is y = -100x + 200
Need help please on this
Answer:
I think it's dilated by a scale factor of 5. Because the black one is 3 squares long and the purple one is 15. So divide those and you get 5! and to check just multiply 5x3 to find the length of the purple one!
Step-by-step explanation:
Hope this helps! please mark brainliest! :)
while tim is waiting for school to start he pulls a quarter from his pocket. how many outcomes are possible if he flips the quarter three times?
Answer:
3
Step-by-step explanation:
he flips it three times
A football team gained 9 yards on one play and then lost 22 yards on the next and
finally gained 12 yards on the final play. What is the result of the three plays?
What is the circumstance of the circle
Answer:
c=pie r squared is the equations and the answer is 50.27
Step-by-step explanation:
Please, can someone help me on math? Struggling a bit.
What is the difference of the polynomials?
(5x^3+ 4x^2)-(6x^2-2x-9)
i think its B ......
The difference of the polynomials (5x3 + 4x2) – (6x2 – 2x – 9) is 5x3 – 2x2 + 2x + 9.
A polynomial is an expression consisting of variables and coefficients,
5x3 + 4x2 - (6x2 - 2x - 9)
= 5x3 + 4x2 - 6x2 + 2x + 9
= 5x3 - 2x2 + 2x +
Brainliest
Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answer:
Yes
Step-by-step explanation:
If you look at it. X is basically -2, -1, 0, 1, or 2.
Hope I helped and Pls Mark Brainliest
Find the value of the missing angle in the triangle below:
Answer:
85°
Step-by-step explanation:
x+32°+63°=180°(being sum of interior angle of triangle)
x=180°-95°
:. x=85°
PLEASE HELP ME! I AM BEGGING YOU!
Answer:
Do I have to download it?
Step-by-step explanation:
