Answer:
The standard error of the mean is 1.91 pounds.
Step-by-step explanation:
We are given that the weight of baby elephants is believed to be Normally distributed, with a mean of 123.5 pounds. The average weight of a random sample of 35 baby elephants is found to be 125.7 pounds, with a standard deviation of 11.3 pounds.
which means, = sample mean = 125.7 pounds
= standard deviation = 11.3 pounds
= population mean = 123.7 pounds
n = random sample = 35
Now, the Central Limit Theorem states that, for a any normally distributed random variable X, with given mean and standard deviation, the standard error of the mean, is given by;
<u>Standard error</u> =
So, here = 11.3 and n = 35
Hence, Standard error = = 1.91 pounds
Therefore, the standard error of the mean is 1.91 pounds.