Please provide a thorough explanation for someone very confused! 6. In the Nethe

Question

Please provide a thorough explanation for someone very confused!

6. In the Netherlands, healthy males 65-79 years old have a distribution of serum uric acid levels that is approximately normal with mean = 341 mol/l and standard deviation = 79 mol/l What proportion of the males have a serum uric acid level between 300 and 400 mol/l? What proportion of samples of size 5 have a mean serum uric acid level between 300 and 400 mol/l? What proportion of samples of size 10 have a mean serum uric acid level between 300 and 400 mol/l? Assuming that you repeatedly selected random samples of 10 healthy males 65-79 years old, 46% of those samples would have sample means that are greater than what value L? a. b. c. d.

Explanation / Answer

a)

hence probability of serum level between 300 and 400:

b)

c)

d)

for top 46% ; at 54th percentile critical value z=0.1004

hence corresponding L =mean+z*std error =341+0.1004*24.982 =343.51

( please revert fr any clarification required)

for normal distribution z score =(X-)/ here mean=       = 341.000 std deviation   == 79

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