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.
Answers
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.
Related Questions
Which fraction and decimal forms match the long division problem? A. B. C. D.
Answers
Answer:
C 4/15 and 0.266 repeating
Step-by-step explanation:
I used a calculator
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
Answers
it eat 200 a month gl
What is the slope?
What is the y intercept?
What is the equation of the line written in slope-intercept from?
Answers
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
15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answers
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Answers
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
please help me i’m so confused
Answers
I think it’s D. I could be wrong though
HELP ASAP!!! Question: Write 20 pounds for $4 as a unit rate.
Answers
Answer:
20 pounds divided by 4
Step-by-step explanation:
Find the value of the missing angle in the triangle below:
Answers
Answer:
85°
Step-by-step explanation:
x+32°+63°=180°(being sum of interior angle of triangle)
x=180°-95°
:. x=85°
Brainliest
Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answers
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
What is the domain of the relation shown?
will mark as branliest
Answers
Answer:
2 or 4
Step-by-step explanation:
What is the perimeter of this polygon?
Answers
------------------------ᴇʀʀᴏʀ
Hunter earns $16 per hour tutoring students after school. If Hunter tutored for 12 hours this month, how much money did he earn this month?
Answers
Answer:
Step-by-step 4explanation:
Please Help These Are All My Points.
Answers
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answers
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answers
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answers
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
https://brainly.com/question/11151728
Zelda rode her bike at a steady rate of 12 miles per hour for 3
Answers
Answer:
36miles
Step-by-step explanation:
Given parameters:
Rate = 12mph
Time = 3hr
Unknown:
Distance = ?
Solution:
The given rate amount is the speed. Speed is the distance divided by the time.
It is mathematically expressed as:
Speed = [tex]\frac{distance}{time}[/tex]
Distance = Speed x time
Distance = 12 x 3 = 36miles
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answers
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Answers
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answers
Answer:
6
Step-by-step explanation:
hehdhrhrhrhrbrhhffh
