Answer:
The assumption regarding the population which is necessary for making an interval estimate for the population mean is that:
a. We assume that the population has a normal distribution.
b. We assume that the central limit theorem applies.
Explanation:
The assumption regarding the population which is necessary for making an interval estimate for the population mean is that:
a. We assume that the population has a normal distribution.
b. We assume that the central limit theorem applies.
A normal distribution describes how the values of a variable are distributed. It is a probability distribution that is symmetrical about the central value or the mean, i.e. 50% of data are found to the left and right of the mean respectively. Most of the data are clustered around the mean, i.e. they occur or are found near the mean than far away from the mean. The graph form of a normal distribution will appear as a bell curve. In a normal distribution, mean = mode = median.
The Central Limit Theorem states that irrespective of the underlying distribution of a sample, when a variable does not follow a normal distribution, repeated random samples from the population will give sample means they are normally distributed. This means that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger.
