Answer:
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Explanation:
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The sample of 81 students was selected with a mean score of 90, this illustrates an example of a right tailed one sample z test.
<h3>How to illustrate the sample?</h3>
From the information given, the teacher claims that the mean score of students in his class is greater than 82 with a standard deviation of 20. In this case, the right tailed one sample z test is used.
The z value will be:
= (90 - 82)/20/✓81
= 3.6
Since 3.6 > 1.645, the null hypothesis will be rejected as there's enough evidence to support the teacher's claim.
When an online medicine shop claims that the mean delivery time for medicines is less than 120 minutes with a standard deviation of 30 minutes, the left tailed one sample test is used.
The z value will be:
= (100 - 120)/(30/✓49)
= -4.66
The null hypothesis is rejected as there is enough evidence to support the claim of the medicine shop.
Learn more about sampling on:
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Answer:Discrete system are those system which change the state at the discrete point of time and continuous system are those which have state change at continuous period of time.
Explanation:
- The major difference between discrete and continuous system is that, discrete system has state change over a discontinuous time period whereas the change of state in continuous system is over a continuous time period .
- Variations can be found in the discrete system signal but in continuous system variation cannot be found input and output signal.
- Example:-
Discrete system:-employees reporting at office at different time like
9:10am, 9:15am etc
<u> Continuous system</u>:-the water flow over a dam in particular quantity
Answer:
by principal stress theory
t = 20.226
by total strain theory
t = 20.36
Explanation:
given data
internal radius 
= 150 mm
pressure p = 80 MPa
yield strength = 300 MPa
poisson's ratio = 0.3
a) by principal stress theory
thickness can be obtained as t
t = ![r_{1}\left [ (\frac{\sigma _{y} +p}{\sigma _{y} - 0.5p})^{1/3}-1 \right ]](https://tex.z-dn.net/?f=%20r_%7B1%7D%5Cleft%20%5B%20%28%5Cfrac%7B%5Csigma%20_%7By%7D%20%2Bp%7D%7B%5Csigma%20_%7By%7D%20-%200.5p%7D%29%5E%7B1%2F3%7D-1%20%5Cright%20%5D)
t = = 150\left [ (\frac{300 +80}{300-0.5*80})^{1/3}-1 \right ]
t = 20.226
b) by total strain theory
m =
m = 
= 3.75
we know that
K = 
k = 1.13
1.13 = 
= 170.36 mm
t = -
t = 170.36 - 150
t = 20.36
