Question

hoose an SRS of 1000 men from this population. Now what is the probability that x falls within ±2 mg/dL of μ? The larger sample is much more likely to give an accurate estimate of μ

Answer 1

2.3139

Explanation:

Thinking process:

The mean = 188

standard deviation = 4.1

The standard deviation is given by the following equation:

`4.1√(100) = 1.2965`

Using the tables, the z scores become:

`z = ((185-188))/(1.2965) \\ = -2.3139`

Also calculating the second portion:

`z = (191- 188)/(1.2965) \\ = 2.3139`

Extrapolating from the normal distribution tables gives 97.3 which is within the range.