Final answer:
The mean and standard deviation of the Normal density curve can be estimated using the sample mean and sample standard deviation. Option E (Mean = 28, Standard deviation = 4) is the most accurate estimate.
option e is the correct
Step-by-step explanation:
The mean and standard deviation of a normal distribution can be estimated by using the sample mean and sample standard deviation. In this case, the sample mean is given as 12.8 and the sample standard deviation is given as 2. Since the sample size is 20, we can use the t-distribution to perform a hypothesis test.
To estimate the mean and standard deviation of the Normal density curve shown, we need to use the sample mean and sample standard deviation. The options given are:
A) Mean = 30, Standard deviation = 4.
B) Mean = 28, Standard deviation = 12.
C) Mean = 28, Standard deviation = 6.
D) Mean = 30, Standard deviation = 7.
E) Mean = 28, Standard deviation = 4.
Based on the information given, option E (Mean = 28, Standard deviation = 4) is the most accurate estimate for the mean and standard deviation of the Normal density curve shown.