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
Alchen [17]
3 years ago
7

An article in the ASCE Journal of Energy Engineering describes a study of the thermal inertial properties of autoclaved aerated

concrete used as a building material. Five samples of the material were tested in a structure, and the five temperatures (◦C) reported were: 23.01, 22.22, 22.04, 22.62, and 22.59
Test the hypothesis of H0 : µ = 22.5 versus H1 : µ 6= 22.5.

Show and label the 5 steps.
Mathematics
1 answer:
Zanzabum3 years ago
5 0

Answer:

Null hypothesis:\mu = 22.5  

Alternative hypothesis:\mu \neq 22.5  

t=\frac{22.496-22.5}{\frac{0.378}{\sqrt{5}}}=-0.0236    

p_v =2*P(t_{(4)}  

If we compare the p value and the significance level given assumed for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the population mean is NOT significant different from 22.5 at 5% of significance.  

Step-by-step explanation:

Previous concepts  and data given

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".

First we can calculate the average and the sample standard deviation with the following formulas:

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

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

\bar X=22.496 represent the sample mean  

s=0.378 represent the sample standard deviation

n=5 represent the sample selected

\alpha significance level  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 22.5, the system of hypothesis would be:  

Null hypothesis:\mu = 22.5  

Alternative hypothesis:\mu \neq 22.5  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{22.496-22.5}{\frac{0.378}{\sqrt{5}}}=-0.0236    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=5-1=4  

Since is a two side test the p value would be:  

p_v =2*P(t_{(4)}  

Conclusion  

If we compare the p value and the significance level given assumed for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the population mean is NOT significant different from 22.5 at 5% of significance.  

You might be interested in
(Do only the number line) just tell me what to write after the 0 I don't understand the number line
pantera1 [17]
One- twelfth for the first tiny line and the two-twelfth and so on until u reach 1
6 0
3 years ago
Read 2 more answers
A?<br> B?<br> C?<br> D? <br><br> Number 10 on conexus &lt;3<br> If correct I’ll give brainlest
ZanzabumX [31]
D lol exactly yiu yeah arte yr
4 0
2 years ago
Read 2 more answers
13<br> y <br> 3<br> Х<br> 4<br> What is y?
KonstantinChe [14]

Answer:

The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"i think

Step-by-step explanation:

6 0
3 years ago
Please need help on this!
GrogVix [38]
F(x) = x(x -1)

f(3) = 3*2 = 6
f(6) = 6*5 = 30

so f(f(3)) = 30 . . . . . selection A
8 0
3 years ago
Plss help for points and brainliest
olganol [36]
There’s nothing here
4 0
3 years ago
Read 2 more answers
Other questions:
  • This company will begin to make a profit after producing more than ______ units.
    9·1 answer
  • What is the equation of the line that passes through (-5,6) and (3,-10)??
    12·1 answer
  • What is the slope of the line that passes through the points
    6·1 answer
  • Answer this for my sister
    13·1 answer
  • A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
    6·1 answer
  • Practice demonstrating financial responsibility.
    12·2 answers
  • Its eitheir a or c b and d dont check out what is it image down below
    6·2 answers
  • You earn $42 for washing 6 cars. How much do you earn for washing 3 cars? Find the unit rate.
    7·2 answers
  • Suppose a white dwarf star has a diameter of approximately 1.8083 to the power of 4 km. Use the formula 4n to the power of 2 to
    13·1 answer
  • PLEASE HELP I WILL MARK BRAINLIEST
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!