QUESTION 1

Use the following scenario and data for all the questions
The lives of Lithium batteries used in a type of cell phones are normally distributed with an unknown standard deviation. A simple random sample of equation batteries is selected. The sample mean and standard deviation are found to be equation and equation hours, respectively. You are required to construct a confidence interval for the population mean with a confidence coefficient equation.
____________________________________________________________

The standard error, i.e., the standard deviation of the sample mean equation, is closest to

0.210

0.630

1.960

2.306

none of the above

.63

To find the standard error of the sample mean equation, we can use the formula:

standard error = standard deviation / √(sample size)

In this scenario, the standard deviation is unknown, but we are provided with the sample standard deviation equation. Assuming the sample size equation is large enough to apply the Central Limit Theorem, we can use the sample standard deviation as an estimate of the population standard deviation.

Therefore, the standard error is:

standard error = equation / √(sample size equation)

We are not given the sample size equation in the question, so we cannot calculate the standard error directly.

Therefore, the correct answer is "none of the above."