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
cluponka [151]
3 years ago
7

Find a 95% confidence interval for the mean failure pressure for this type of roof panel.The article "Wind-Uplift Capacity of Re

sidential Wood Roof-Sheathing Panels Retrofitted with Insulating Foam Adhesive presents a study of the failure pressures of roof panels. Following are the failure pressures, in kPa, for five panels constructed with 6d smooth shank nails. These data are consistent with means and standard deviations presented in the article. 3.32 2.53 3.45 2.38 3.01
Computers and Technology
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

The 95% confidence interval would be given by (2.351;3.525)    

Explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=2.938

The sample deviation calculated s=0.472

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=5-1=4

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that t_{\alpha/2}=2.78

Now we have everything in order to replace into formula (1):

2.938-2.78\frac{0.472}{\sqrt{5}}=2.351    

2.938+2.78\frac{0.472}{\sqrt{5}}=3.525    

So on this case the 95% confidence interval would be given by (2.351;3.525)    

You might be interested in
Which is an advantage of programming with a procedural language?
mestny [16]
What are the choices

3 0
3 years ago
Read 2 more answers
Where can i make a 3d animation for free ( pls don't trick me)
Vinvika [58]

Answer:

I don't know if it would work for what you need but you could try scratch. (sorry if this isn't what you needed.)

4 0
3 years ago
How can you specify a page has the highest priority?
coldgirl [10]

Answer:

1.0

Explanation:

Priority Tag is to be mentioned in Sitemaps

Various priority values range from 0.1 to 1.0. The highest priority page has the priority value = 1.0, and the lowest priority page has a value of 0.0, and the priority value varies with the priority of the page. And these values are assigned to the priority tag in the sitemap. The sitemap, in fact, is the XML file through which we can set the priority of a webpage.  

8 0
3 years ago
Describe a situation in which a robot may have to avoid an obstacle without coming to a complete stop before turning.
Airida [17]

A robot may have to avoid an obstacle without coming to a complete stop before turning. If the robot is able to make a wide enough, long turn. instead of stopping, then turning sharply. For example if the robot were to come across an object and can sense said object before hand. it can then take action into turning before it is close enough.

3 0
3 years ago
Read 2 more answers
How are special characters added to a Word document? Check all that apply.
MrRissso [65]

It kinda depends on what you mean by special characters

7 0
3 years ago
Read 2 more answers
Other questions:
  • How much does a Canon PowerShot G7X cost in America?
    14·1 answer
  • Type the correct answer in the box. Spell all words correctly.
    11·1 answer
  • Help please fast
    6·2 answers
  • Hi! I'm Kayla! I was wondering who does homework on the weekends... anybody?? I guess almost everyone, including me. Anyways, le
    13·2 answers
  • Does anyone know where online I can buy the MacBook Air 2017 at I can’t find any I’ll give brainlist and points
    5·1 answer
  • If tech is smarter than us. How did a human make something smarter than him/her?
    9·2 answers
  • Select the correct answer.
    7·2 answers
  • Lab 6B: printing a binary number
    13·1 answer
  • There are many best practices for digital recordings. Select the three best practices from the list below. select the best micro
    14·1 answer
  • Help pweeze this is due today :(<br><br> I will give u brainliest just pweeze, I need this answer :(
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!