How many possible combinations comes from a word with five letters?
1 answer:
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Answer:
(a)
(b)
(c) Not different.
Step-by-step explanation:
The information provided is:
- The age at first startup for 90% of entrepreneurs was 29 years of age or less.
- The age at first startup for 10% of entrepreneurs was 30 years of age or more.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
(a)
Let <em>p</em> represent the proportion of entrepreneurs whose first startup was at 29 years of age or less.
A sample of <em>n</em> = 200 entrepreneurs is selected.
As <em>n</em> = 200 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be approximated by the normal distribution.
Compute the mean and standard deviation as follows:
So, .
(b)
Let <em>q</em> represent the proportion of entrepreneurs whose first startup was at 30 years of age or more.
A sample of <em>n</em> = 200 entrepreneurs is selected.
As <em>n</em> = 200 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be approximated by the normal distribution.
Compute the mean and standard deviation as follows:
So, .
(c)
The standard deviation of sample proportions is also known as the standard error.
The standard deviation of <em>p</em> is, 0.0212.
The standard deviation of <em>q</em> is, 0.0212.
Thus, the standard errors of the sampling distributions in parts (a) and (b) are same.
Answer:
Work shown below!
Step-by-step explanation: