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.
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.
p(n) = -8n^2 + 9n, Find p(10)
Answer:
first
put the value of p(10) in the place n,
2-multiply -8×10^2+9×10
3-:- -8×100+90
4:-800+90=710ans
please help me out! i’ll give you the brainliest :)
14x - 1/2 (4x + 6) = 3 (x- 4) - 18
Answer:
x = -3
Step-by-step explanation:
How many solutions are there to: 8x + 7 = 7 + 8x.
Answer: X make the equation true
Step-by-step explanation:
Which sum or difference is modeled by the algebra tiles
Answer:
i believe the answer that you picked is right ....i think ^^
NEED HELP SOLVING PLEASE
Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub
Answer:
The total value of the discount is $14
Step-by-step explanation:
40 x 0.35 = 14
What is the value of x?
Answer:
5
Step-by-step explanation:
6x+12 = 9x-3
3x = 15
x= 5
What is tan(x) equal to?
1
2
sin(x)
cos(x)
sin(x)/cos(x)
Answer: sin(x) / cos(x)
Step-by-step explanation: This is just a trigonometric identity you should have memorized :)
Iliana was part of a group that was working on changing 0.ModifyingAbove 4 with bar to a fraction. Each member of the group had a different answer. Which answer is correct?
Two-fifths
StartFraction 4 Over 10 EndFraction
StartFraction 4 Over 9 EndFraction
StartFraction 9 Over 4 EndFraction
Answer: 4/9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edge 2021
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:
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
2. Which expression is equivalent to 3(4x + 10 = 2+3)?
Answer: ask ggle it gives you the answer
Step-by-step explanation:
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°
qustion to give kagimatoby a brainly
Answer:
wdym
Step-by-step explanation:
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:
Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.
Answer:
the answer is someone else can
Answer:
S = P (r)(t)
Step-by-step explanation:
S = Simple interest
P = Principle
r = rate
t = time
S = (10000 x 2%)x2
Work brackets first 10000 x 2% = 200
then 200 x 2 = 400
S = 400
HELP ASAP!!! Question: Write 20 pounds for $4 as a unit rate.
Answer:
20 pounds divided by 4
Step-by-step explanation:
A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
Which would describe a translation 2 unis left and one unit up
Answer:
(2, 1) or (1, 2)
Step-by-step explanation:
I not sure :3 I think its most likely (1, 2)
You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________
Answer:
0.05
Step-by-step explanation:
The Effect size = (Difference in Means) / (Standard deviation)
= (20 - 19) / 20
= 1/20
= 0.05
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
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
Ginger cut 9 yards of fabric into pieces that are yard long. How many -yard pieces did she make from the 9 yards of fabric?
A. 2 1/4
B. 8 3/4
C. 13
D. 36
Answer: c i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
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
Zelda rode her bike at a steady rate of 12 miles per hour for 3
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
4a2 - 1
c) 2а – За – 2
ashley's tricycle has two different wheel sizes: one larger wheel and two smaller wheels. As Ashley travels the distance between her house and her neighbor's house on the tricycle, the larger wheel rotates 4 times, and each of the small wheels rotate 12 times. If half the circumference of the larger wheel is 2 inches more than the circumference of one of the smaller wheels, what is the distance, in inches, traveled by the tricycle between ashley's house and her neighbor’s house?
A. 4 inches
b. 48
c. 60
d. 16
Answer:
the answer is D have a nice day!
what is the measure
Answer:
Step-by-step explanation:
t+t+10+t+20=180
3t+30=180
3t=180-30=150
t=150/3=50
t+20=50+20=70
exterior angle=180-70=110°
