Answer:
Step-by-step explanation:
1. You have the following number given in the problem above:
235,452
2. As you can see, it is smaller than a number with seven digits as 1,000,000.
3. You can rewrite 1,000,000 as an integer power of 10, which must have the following form:
Where is the exponent that indicates the number of times that 10 is multiplied by itself.
4. Therefore, you have:
Answer:
The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have n unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>μ</em> = 3.5
<em>σ</em> = 1.7078
<em>n</em> = 400 = number of times the experiment is repeated.
As the sample size is quite large, i.e. <em>n</em> = 400 > 30 the central limit theorem can be used to approximate the sampling distribution of the sample mean.
The mean of the distribution of sample means is:
The standard deviation of the distribution of sample mean is:
The distribution of the sample mean is:
.
Thus, the correct option is (C).
