Question

As humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of conditions such as gout, kidney disease, and cancer. For females a high level of uric acid is 6 mg/dL or more and for males a high level of uric acid is 7 mg/dL or more. Suppose, over a period of months, an adult male was given 6 blood tests for uric acid. The results of each blood test are shown below.

results	14.11	11.54	11.05	10.55	12.27	11.47

The distribution of uric acid in healthy adult males is normally distributed with known population standard deviation, σ=1.89.

a) Find a 95% confidence interval for the population mean of uric acid in this adult male's blood. Assume the sample of blood tests were given in a way that's equivalent to a simple random sample. (Round your answers to two decimal places.)

margin of error mg/dL=
lower limit  mg/dL=
upper limit  mg/dL=

b) What conditions were met for the above calculations to be valid? (Select all that apply.)

• uric acid in an adult males needs to be normally distributed
• simple random sample
• σ is unknown
• systematic sample
• uric acid in an adult males needs to be uniformly distributed
• σ is known
• large enough sample size n

c) Find the sample size necessary for a 95% confidence level with maximal margin of error E=0.99 for the mean concentration of uric acid in this adult male's blood.
blood tests (Increase your answer to the next whole number.)

Answer 1