Question 1

9Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 units/mL. Suppose also that exactly 99% of healthy individuals have TSH levels below 6 units/mL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.??units/mL

Question 2

Solution

$\begin{gathered} \mu=3.3 \\ P(X- Using a z-score calculator, or z-distribution table, we have:- Using the Z-score formula, we can find the standard deviation as follows:[tex]\begin{gathered} Z=(X-\mu)/(\sigma) \\ \\ 2.326=(6-3.3)/(\sigma) \\ \\ \therefore\sigma=(6-3.3)/(2.326) \\ \\ \sigma=1.1607910...\approx1.1607\text{ \lparen To 4 decimal places\rparen} \end{gathered}$

Answer

The standard deviation is 1.1607

9Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals-example-1

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