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5. Suppose that a doctor claims that 17 year olds have an average body temperature that...

5. Suppose that a doctor claims that 17 year olds have an average body temperature that is higher than the commonly accepted average human temperature of 98.6 degrees Fahrenheit. A simple random statistical sample of 25 people, each of age 17, is selected. The average temperature of the 17 year olds is found to be 98.9 degrees, with standard deviation of 0.6 degrees. Test the doctor’s claim under 5% significant level.

Math   Statistics-And-Probability   
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Answer #1
  • Here X is the random variable denoting the temperature in fahrenheit.
  • Here X follows normal distribution with 98.9 degrees and standard deviation 0.6 degrees.
  • X~Normal (98.9,0.62/17)
  • TEST THE CLAIM
  • Here we have to test the claim that average human temperature is equal to 98.6 degrees
  • HYPOTHESIS TO BE TESTED.
  • Ho:=98.6 vs H1:>98.6
  • TEST STATISTICS IS GIVEN BY
  • by subsituiting the values in the above formula for mean and variance
  • test statistics obtained is
  • 2.0615
  • CONCLUSION
  • The test statistics obatined is greater that 5% significant value of 1.645
  • Therefore we have enough evidence to reject the null hypothesis
  • Therefore we conclude average human temperature is greater than 98.6 degrees fahrenheit.
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