Respuesta :
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Mean of students' age = 24 years
Standard deviation of students' age = 3 years
Sample size = number of students = 350
So, according to options,
a. The shape of the sampling distribution is approximately normal.
It is true as n >30, we will use normal.
b. The mean of the sampling distribution is approximately 24-years old.
It is true as it is given.
c. The standard deviation of the sampling distribution is equal to 5 years.
It is not true as it is given 3 years.
Hence, Option 'c' is correct.
The correct statements are The shape of the sampling distribution is approximately normal and The mean of the sampling distribution is approximately 24-years old.
What is a normal distribution?
A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the mean of students' age is 24 years, while the standard deviation of students' age is 3 years. Also, it is mentioned that the sample size is 350 students. Now if we look at the options and discuss each of the options.
A.) The shape of the sampling distribution is approximately normal.
As the sample size is greater than 30 (n>30), therefore, the sampling distribution is approximately normal.
Thus, the given statement is true.
b. The mean of the sampling distribution is approximately 24-years old.
As it is already mentioned in the problem, the mean of the sample is 24-years old.
Thus, the given statement is true.
c. The standard deviation of the sampling distribution is equal to 5 years.
As it is already mentioned in the problem, the mean of the sample is 3 years.
Thus, the given statement is False.
Hence, the correct statements are A and B.
Learn more about Normal Distribution:
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