Answer: a) α = 0.7927, b) at u=14.8, β = 0.99767, at u = 14.9, β= 0.2073
Step-by-step explanation: a) from the question, u= population mean = 15 and x= sample mean = 14.9
σ = population standard deviation = 0.5, n = sample size = 50.
We get the probability of committing a type 1 error by using the z score.
Z = x - u/(σ/√n)
Z = 14.9 - 15/(0.5/√50)
Z = - 0.1/0.0707
Z = - 1.41.
By checking the the probabilistic value attached to this z score using a standard normal distribution table whose area is to the left of the distribution, we have that
P(z=-1.41) = 0.7927.
Hence the probability of committing a type 1 error is 0.7927
b)
at x = 14.8 ( I let ua=x=14.8)
Z = x - u/(σ/√n)
Z = 14.8 - 15/(0.5/√50)
Z = - 0.2/ 0.0707
Z = - 2.83
Using the standard normal distribution table, we have that
P(z=-2.38) = 0.00233.
But α + β = 1
Where α= probability of committing a type 1 error
β = probability of committing a type 2 error.
β = 1 - α
β = 1 - 0.00233
β = 0.99767
At x = 14.9
Z = x - u/(σ/√n)
Z = 14.9 - 15/(0.5/√50)
Z = - 0.1/0.0707
Z = - 1.41.
P(z=-1.41) = 0.7927.
α = 0.7927.
But α + β = 1
β = 1 - 0.7927
β = 0.2073
the formula for the Pythagorean theorem is a squared plus b squared is equals to c squared we don't have our a so it will be 8 * 8 =64which is 64 is equals to 10 * 10 which is 100 - 64 is equals to 36 then you square root do square roots the 36 which is 6
Answer:
NO! The correct answer is 2.03 (where 3 is repeating)
Step-by-step explanation:
0.2 + 12 / (1.5*4) does not equal 32.04
Parenthesis first! 1.5 times 4 equals 6.
0.2 + 12 = 12.2
12.2/6
12.2/6= 2.0333... but it should be rounded to 2, because
It’s 0.0000805 (hope this helps!)
As per given by the question,
There are given that four point.
The point is,
Now,
From given point,
Then, the factor is,
Now, solve the above equation,
The factorial formd will be,
Now, find the value of "a" with the help of given point (0, -8).
So,
Puth the value of x =0, and y=-8 in above equation,
Then,
Then, a=2.
Now,
The value of a is 2.
And,
The polynomial in the factored form is,
Hence, the value of a is 2 and the polynomial in the factored form is,
