Question

As humans we consume food. The body extracts good things such as proteins and vitamins and...

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 female has taken 10 blood test for uric acid. The results of the test are shown below.

results 7.07 7.06 5.98 6.6 9.97 10.6 7.15 5.66 8.19 8.89



The distribution of uric acid in healthy adult females is normally distributed.

Find a 95% confidence interval for the population mean of uric acid in this adult female's blood. (Round your answers to two decimal places.)

margin of error
lower limit  
upper limit  


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

  • Yes, since the interval is beyond acceptable levels.
  • 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.




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

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



Interpret your results in the context of this problem.

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

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