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
nikdorinn [45]
3 years ago
8

2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A

sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let \mu = <u><em>population mean length of the board</em></u>.

So, Null Hypothesis, H_0 : \mu = 2564.0 millimeters    {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, H_A : \mu \neq 2564.0 millimeters      {means that the boards are either too long or too short}

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

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

where, \bar X = sample mean length of boards = 2559.5 millimeters

            s = sample standard deviation = 15.0 millimeters

             n = sample of boards = 26

So, <em><u>the test statistics</u></em> =  \frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }  ~   t_2_5

                                     =  -1.529    

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

You might be interested in
Can somebody please help...I don’t understand it would mean a lot ❤️
ohaa [14]

Answer:

y=0.5x+8

Step-by-step explanation:

Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.

To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):

We can take two points from the graph: (2,9) (4,10)

m=(y₂-y₁)/(x₂-x₁)

m=(10-9)/(4-2)

m=1/2 or 0.5

Now sub this value in for m and our formula looks like this:

y=0.5x+c

To find the value of c, sub in one of the points, eg. (4,10)

y=0.5x+c

10=0.5(4)+c

10=2+c

c=8

So now that we now m and c, our equation is complete :D

y=0.5x+8

4 0
2 years ago
Read 2 more answers
It takes 45 minutes for 4 people to paint 5 walls how long does it take 6 people to paint 4 walls
Naily [24]

Answer:

54 Minutes

Step-by-step explanation:

45 minutes/5 walls/4 people=2.25 minutes per person per wall

2.25 times 6 times 4=54 minutes

3 0
3 years ago
Read 2 more answers
Which of the following units for mass is an SI unit?
s2008m [1.1K]
Kilogram is an SI unit for mass.
Ounce and pound refer to American system for measuring things, and decakilogram is not the "basic" unit, but kilogram is.
5 0
3 years ago
Read 2 more answers
How did they get this
katrin2010 [14]
Somewhere in the text, it must say that x = 2 and y = -1 or else, the values just seem made up out of thin air. 
3 0
3 years ago
Read 2 more answers
In an experiment, the one variable that is changed by the person doing the experiment is called the Question 2 options: controll
Ad libitum [116K]

Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.

5 0
3 years ago
Other questions:
  • (12y)+12 y=15 do I multiply 12 and 15 then add 12
    7·2 answers
  • Write an equation that is parallel to the equation -3x-1/3y=27
    11·1 answer
  • Melanie made 72 peanut butter cookies and oatmeal cookies. She wants to make identical groups of cookies for her friends. Each g
    6·1 answer
  • Managers in a home improvement company have been having problems with employees starting cliques. To develop more of a team cult
    5·1 answer
  • Which number added to a rational number will always result in an irrational number?
    6·1 answer
  • A bag contains 4 brown marbles,3 green marbles,2 red marbles and 1 purple marble.Calulate the probability of drawing each color,
    6·2 answers
  • Summarize the reason for writing the Declaration of Independence. <br><br> 1–3 paragraphs long
    13·1 answer
  • I can do any other question except for this one just because the six is by itself like what do I do with it, can someone please
    13·1 answer
  • A quadrilateral has vertices A{11, -7), B(9,-4), C11,-1), and D(13,-4).
    14·1 answer
  • How much is 48.9 miles in minutes? (I really need help )
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!