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:
13
Step-by-step explanation:
All the lengths in triangle ADE are twice those in similar triangle ABC. So ...
x-1 = 2(6)
x = 13
Answer: C
Step-by-step explanation:
The correct statement that can be made about the means is a. There is not enough evidence to suggest that the means are different.
<h3>What is true about the means?</h3><h3 />
Given that α = 0.01, we can use an ANOVA analysis to determine the p-value of the means.
When we run the means through an ANOVA software, the p-value can be found to be 0.1142.
This figure is greater than α = 0.01.
This means that we do not have the evidence to reject the null hypothesis that the means are different.
Options for this question:
- a. There is not enough evidence to suggest that the means are different.
- b. The mean age of middle school teachers is different from the mean age of high school teachers.
- c. The mean age of middle school teachers is different from the mean age of college teachers.
- d. The mean age of high school teachers is different from the mean age of college teachers.
Find out more on the p-value at brainly.com/question/4621112
#SPJ1
105/32
3 and 9/32
or 3+9/32
or <span>3.28125</span>
