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

Answer:

2.3139

Step-by-step explanation:

Thinking process:

The mean = 188

standard deviation = 4.1

The standard deviation is given by the following equation:

$4.1\sqrt{100} = 1.2965$

Using the tables, the z scores become:

$z = \frac{(185-188)}{1.2965} \\ = -2.3139$

Also calculating the second portion:

$z = \frac{191- 188}{1.2965} \\ = 2.3139$

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