Answer:
Correct option: (D).
Step-by-step explanation:
A null hypothesis is a hypothesis of no difference. It is symbolized by <em>H₀</em>.
A Type I error is the probability of rejection of the null hypothesis of a test when indeed the the null hypothesis is true.
The type I error is also known as the significance level of the test.
It is symbolized by P (type I error) = <em>α</em>.
In this case the researcher wants to determine whether the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B) or not.
The hypothesis for this test can be defined as:
<em>H₀</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is same.
<em>Hₐ</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is not same.
The type I error will be committed when the null hypothesis is rejected when in fact it is true.
That is, a type I error will be made when the the results conclude that the absorption rate into the body for both the drugs is not same, when in fact the absorption rate is same for both.
Thus, the correct option is (<em>D</em>).
Answer:
Step-by-step explanation:
Given that:
mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%
The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:
Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.
From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87
We substitute z = 0.88 in the z score equation to find the raw score. Therefore:
x ≅ 507 grams
Therefore 19% of fruits weigh more than 507 grams
Answer:
1. 2^9 = 512
2. 2^3 = 8
3. 7^3 = 343
4. 6^3 = 216
5. 3^6 = 729
Step-by-step explanation:
To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power
1.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
2^9 = 512
2.
2 x 2 x 2 = 8
2^3 = 8
3.
7 x 7 x 7 = 343
7^3 = 343
4.
6 x 6 x 6 = 216
6^3 = 216
5.
3 x 3 x 3 x 3 x 3 x 3 = 729
3^6 = 729
Answer:
(-1,1)
Step-by-step explanation:
5x+2y= -2, x= -1/3 - 2/3y
5( -1/3 - 2/3y) +3y= -2
y= 1
x= -1/3 - 2/3 × 1
x= -1
Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
