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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

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tatendagota

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:

[tex]4.1\sqrt{100} = 1.2965[/tex]

Using the tables, the z scores become:

[tex]z = \frac{(185-188)}{1.2965} \\ = -2.3139[/tex]

Also calculating the second portion:

[tex]z = \frac{191- 188}{1.2965} \\ = 2.3139[/tex]

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

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