A researcher used simple random sampling in collecting grade-point averages of statistics students. From there, he calculated the mean of the sample.
The question: “Under what conditions can the sample mean he got be treated as a value from a population having a normal distribution?” can be answered by the central limit theorem which states that: Given a population with a finite mean μ and a finite non-zero variance σ2, the sampling distribution of the mean N approaches a normal distribution. if sample size, increases. The researcher needs to increase the number of statistics students so the variance of the sampling distribution of the mean will become smaller.
Answer:
63 = 3 × 3 × 7
Step-by-step explanation:
Here in this question, we have to write 63 as a product of its primes.
So, we have to first factorize 63 to get its prime factor.
Now, the factors of 63 are 7, 3 and 3 and all of them are prime numbers.
Therefore, we can write 63 as the product of its primes as 63 = 7 × 3 × 3 (Answer)
If we write the factors as smallest first then we have to write 63 = 3 × 3 × 7 (Answer)
Answer:
<em>Correct answer: C. (1,∞)</em>
Step-by-step explanation:
<u>First Derivative</u>
Given a real continuous function f(x), the first derivative f'(x) represents the slope of the tangent line for any value of x.
If the slope of the line is positive, then the function is increasing, if the slope of the line is negative, the function is decreasing.
The function to analyze is:
Computing the first derivative:
The function will be increasing when:
Dividing by 2:
Solving:
x > 1
This solution is represented by the interval (1,∞)
Correct answer: C. (1,∞)
Here is a hint: 10 * 32 = 320 oz. Convert 320 oz into pounds. :)
Divide 2 by 300. 0.0066666667