Question

Estimate the mean and standard deviation of the Normal density curve shown.

A)Mean = 30, Standard deviation = 4.
B)Mean = 28, Standard deviation = 12.
C)Mean = 28, Standard deviation = 6.
D)Mean = 30, Standard deviation = 7
Mean = 28, Standard deviation = 4.

Answer 1

To estimate the mean and standard deviation of a Normal density curve, we use the sample mean and sample standard deviation. In this case, the estimate for the mean is 28 and the estimate for the standard deviation is 4.

option e is the correct

Step-by-step explanation:

To estimate the mean and standard deviation of a Normal density curve, we need to use the information provided by the question. The question states that a sample of size 30 was drawn from a normally distributed population with a standard deviation of four. Since the sample size is large (n > 30), we can use the sample mean as an estimate of the population mean, and the sample standard deviation as an estimate of the population standard deviation.

Therefore, the estimate for the mean is 28 (the sample mean), and the estimate for the standard deviation is 4 (the sample standard deviation). Therefore, the correct answer is option B: Mean = 28, Standard deviation = 4.