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
Andrews [41]
3 years ago
5

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

m per month. A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces. Breyers would like to set LaTeX: \alpha = 0.025 α = 0.025 for the hypothesis test. It is known that LaTeX: z_{\alpha}=1.96 z α = 1.96 and LaTeX: t_{\alpha}=2.06 t α = 2.06 for the df = 24. Also, it is established that the ice cream consumption follows the normal distribution in the population. The conclusion for this hypothesis test would be
Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

<u><em>Let </em></u>\mu<u><em> = average ounces of ice cream consumed by American per month</em></u>

So, Null Hypothesis, H_0 : \mu \leq 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, H_A : \mu > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                 T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, <u><em>test statistics</em></u>  =  \frac{19-17}{\frac{5}{\sqrt{25} } }  ~ t_2_4

                               =  2

The value of the test statistics is 2.

<em>Now at 0.025 significance level, the </em><u><em>t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test</em></u><em>. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to </em><u><em>which we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

You might be interested in
Let v represent the value of a bank acount, in thousands of dollars, t yearsaftertye account is opend at the bank
Liula [17]

Answer:

could you explain it more

Step-by-step explanation:

4 0
2 years ago
Select the correct answer.
lakkis [162]
Answer B …… if im not wrong
5 0
2 years ago
Read 2 more answers
we do is hiking along a trail that is 13.7 miles long. so far she has hide along 1/10 of the trail. how far has Rita hiked.
Westkost [7]
13.7*1/10=1.37 So far she has hiked 1.37 miles. 
5 0
3 years ago
Tanyas baked goods took in 175$ To help raise money for the chorus club .Tanya need to spend 32$ for baking supplies write and e
elena-s [515]

Step-by-step explanation:

6 I think that is the answer I hop you get it right

3 0
3 years ago
K<br> M<br> N<br> L <br>Radius:13<br> Diameter:26 cm <br>Circumference:?<br> Area:?
Step2247 [10]

Answer:

Given radius (R) = 13

Diameter =  2R =  26

Circumference =  2πR

=  26π

=  81.681408993335

Area =  πR2

=  169π

=  530.92915845668

Step-by-step explanation:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

Circle Formulas

D = 2R

C = 2πR

A = πR2

where:

R: Radius

D: Diameter

C: Circumference

A: Area

π: 3.14159

6 0
2 years ago
Read 2 more answers
Other questions:
  • What do double brackets around an x mean?
    14·2 answers
  • Ella used 3 4 of a bag of lemons to make 1 2 liters of lemonade. If Ella's recipe is for 1 liter of lemonade, how many lemons wi
    5·2 answers
  • Find the value for 10 points
    5·2 answers
  • Which division problem does the number line below best illustrate?
    10·1 answer
  • Find the measure of one interior angle of a regular polygon with six sides
    8·2 answers
  • Which number is greater [-6.809]___[-6.812]
    13·2 answers
  • russell bought a CD player that costs $120 before it went on sale for 15% discount. If he paid 5% sales tax on the sale price, h
    11·2 answers
  • Solve this: -4x-2&lt;=10
    5·1 answer
  • Please help now I need help pleaseeee
    10·1 answer
  • Someone please help, will give branliest
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!