Answer:
B)
No, we can only say there is 27% chance of seeing the observed effectiveness from natural sampling variation. There is no evidence the new formula is more effective but we cannot conclude equal effectiveness.
Step-by-step explanation:
Hello!
The company compared the old antiacid formula against the new one. The claim is that the new formula is more effective.
The hypotheses are
H₀: μ₁ ≤ μ₂
H₁: μ₁ > μ₂
Where the subfix 1 represents the new formula and the subfix 2 represents the old formula.
The statistical analysis threw a p-value of 0.27.
Remember if the p-value ≥ α, n the decision is to not reject the null hypothesis.
If p-value < α, the decision is to reject the null hypothesis.
Let's say α: 0.1 ⇒ you'd decide to not reject the null hypothesis.
Then there would not be enough evidence to say the new formula is better than the old one (μ₁ > μ₂) instead you'd conclude that the new formula is at most as effective as the old one (μ₁ ≤ μ₂). To know if it is equally effective as the old one or less effective a new test should be made.
In simple words, the p-value is the probability of obtaining the value of the statistic under the null hypothesis. In this case, there is a 27% of possibility of observing the effectiveness of the new antiacid formula from a sampling error than because the new antiacid formula is, in fact, effective.
I hope it helps!
Answer:
The probability that a random sample of n = 5 specimens will have a sample values that falls in the interval from 2499 psi to 2510 psi = P(2499 < x < 2510) = 0.192
Step-by-step explanation:
For the population,
μ = 2500 psi and σ = 50 psi
But for a sample of n = 5
μₓ = μ = 2500 psi
σₓ = σ/√n = (50/√5)
σₓ = 22.36 psi
So, probability that the value for the sample falls between 2499 psi to 2510 psi
P(2499 < x < 2510)
We normalize/standardize these values firstly,
The standardized score for any value is the value minus the mean then divided by the standard deviation.
For 2499 psi
z = (x - μ)/σ = (2499 - 2500)/22.36 = - 0.045
For 2510 psi
z = (x - μ)/σ = (2510 - 2500)/22.36 = 0.45
To determine the probability the value for the sample falls between 2499 psi to 2510 psi
P(2499 < x < 2510) = P(-0.045 < z < 0.45)
We'll use data from the normal probability table for these probabilities
P(2499 < x < 2510) = P(-0.045 < z < 0.45) = P(z < 0.45) - P(z < -0.045) = 0.674 - 0.482 = 0.192
Answer:
Reflection, rotation
Step-by-step explanation:
SAS congruency criteria:
- 2 sides of both triangles are equal
- the angle between these two sides of both triangles are equal
Then, if the two triangles share a single common vertex and satisfy the SAS criteria, both reflection or rotation would map one onto the other
.
Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.
Answer:
reflection po
Step-by-step explanation:
I hope its help
