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 has taken 7 blood test for uric acid. The results of the test are shown below.
results 6.42 7.12 5.38 7.37 5.21 7.69 6.72
The distribution of uric acid in healthy adult males is normally distributed.
Find a 95% confidence interval for the population mean of uric acid in this adult male's blood. (Round your answers to two decimal places.)
margin of error mg/dL
lower limit mg/dL
upper limit mg/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.
Yes, since the interval is beyond acceptable levels.
It's not clear, since the interval contains values the are acceptable and not acceptable. More tests should be done.
What conditions were met for the above calculations to be valid? (Select all that apply.)
systematic sample
uric acid in an adult males needs to be uniformly distributed
uric acid in an adult males needs to be normally distributed
simple random sample
large enough sample size n
σis known
σis unknown
Interpret your results in the context of this problem.
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.
The probability that this interval contains the true average uric acid level for this adult male is 0.05.
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.
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.
