1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cricket20 [7]
3 years ago
8

Adults in Turkey have mean caloric intake of 3500 calories per day (Wikipedia) with a standard deviation of 500 calories. A samp

le 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.
Mathematics
1 answer:
Alborosie3 years ago
8 0

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.

You might be interested in
Identify the equation of the circle J with center K(-7,3) and radius 6.
andreyandreev [35.5K]

Answer:

equation of the circle J with center K(-7,3) and radius 6 is=

x^2+y^2+14x-6y+22=0

Step by step explanation:

Equation of circle with given centre (h,k) and radius r is

(x-h)^2+(y-k)^2=r^2

Given centre are K(-7,3) and radius 6.

So equation of Circle=

(x- -7)^2+(y-3)^2=6^2

x^2+14x+49+y^2-6y+9=36

x^2+y^2+14x-6y+22=0 answer

8 0
3 years ago
Read 2 more answers
What is the exact value of cos 112.5°?
ikadub [295]
We have 112.5 = 225/2; cos112.5 < 0 because 90 < 112.5 < 180;
cos 112.5 = cos(225/2);
We use the trigonometric formula: cos(x/2) = - \sqrt{ \frac{1+cosx}{2} };
Then, cos(225/2) = - \sqrt{ \frac{1+cos225}{2} };
We have the formula: cos(270 - x) = -sinx (because cos(a-b) = cosacosb + sinasinb);
Then, cos225 = cos(270-45) = -sin45 = -\frac{ \sqrt{2} }{2} ;
Finally, cos112.5 = -\frac{ \sqrt{2- \sqrt{2} } }{2} ;

3 0
3 years ago
A student scored 80% on a test with 56 questions.How many did they answer right?
rosijanka [135]
80% = 0.8
0.8 * 56 = 44.8 rounded to 45
The student got 45 answer correct.
7 0
3 years ago
Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in wat
fomenos
The concentration of solution would be the amount of the molecule divided by the volume. In this case, the solution concentration is 36% and the volume is 4 quarts + 1 quarts= 5 quarts. You are asked the concentration before 1 quarts added. The alcohol content should be same for both solutions. The answer should be:

concentration = alcohol content/ volume
alcohol content =concentration * volume
alcohol content1 =alcohol content2
36% * 5 quarts = concentration2 * 4quarts
concentration2= 36% * 5 quarts / 4 quarts= 45%
5 0
3 years ago
Add:(3x2 - 5x + 6) + (9 - 8x - 4x2)​
finlep [7]

You can see by the image how did I get the answer

3 0
3 years ago
Other questions:
  • The excluded values of a rational expression are 2 and 5. Which of the following could be this expression?
    6·2 answers
  • The minute hand of a clock is 3 inches long. how far does the tip of the minute hand move in 20 minutes? if necessary, round the
    7·1 answer
  • What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2?
    9·1 answer
  • Mathematics achievement test scores for 300 students were found to have a mean and a variance equal to 600 and 3600, respectivel
    6·1 answer
  • Rhonda sews together three strips of fabric to make a flag the lengths of each strip are 5/8 foot, 3/8 foot, and 6/8 foot. how l
    11·2 answers
  • Both Kendra and maria tutor students after school. The table below shows the amount of money Kendra earned tutoring after school
    6·1 answer
  • A square has an area of 42cm2 what is the length of each side
    12·1 answer
  • Which is the slowest reading rate?
    7·1 answer
  • Which of the following choices are equivalent to the expression below? Check all that apply x8/5
    15·1 answer
  • Two cruise ships depart from the same harbor. SeabournOdysseydeparts at 8 AM, and travels due south2 mph faster than the northbo
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!