Every month, a group of 4 6 46 students write essays in a class. Each student writes 2 2 essays, and each essay contains an aver
1 answer:
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Answer:
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is
Differences between SRS of 200 and of 600
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Answer:
x=1.3288 or -1.1288
Step-by-step explanation:
Given
Subtract 4x from both sides
Since we can factor out 2 from whole equation, let's factor out 2.
Divide with 2 on both sides
We got the quadratic equation, we can solve for x using quadratic formula.