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 8 blood tests for uric acid. The results of each blood test are shown below.

results

2.57

3.64

3.9

5.01

4.04

9.06

6.63

4.94

The distribution of uric acid in healthy adult males is normally distributed with known population standard deviation,=1.94mg/dl.

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 errormg/dL

lower limitmg/dL

upper limitmg/dL

Does this confidence interval suggest that this adult male has a high level of uric acid?

• No, since the interval is contained within the acceptable range levels.
• It's not clear, since the interval contains values the are acceptable and not acceptable. More tests should be done.
• Yes, since the interval is beyond acceptable levels.

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

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

Interpret your results in the context of this problem.

• There is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this adult male.
• There is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this adult male.
• The probability that this interval contains the true average uric acid level for this adult male is 0.05.
• There is not enough information to make an interpretation.
• The probability that this interval contains the true average uric acid level for this adult male is 0.95.

Find the sample size necessary for a 95% confidence level with maximal margin of errorE=1for the mean concentration of uric acid in this adult male's blood.

blood tests (Increase your answer to the next whole number.)