Our bodies produce heat from the work of keeping us alive. This heat is known as...

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Statistics

Our bodies produce heat from the work of keeping us alive. Thisheat is known as the body temperature, which is continuous andapproximately normally distributed. The previous standard for ahealthy body temperature was 98.6 F. However, the current averagebody temperature for a healthy human is 98.2 F, with a populationstandard deviation of 0.75 F

Single Subject

  1. What is the probability of selecting a person who has a healthybody temperature (between 97 F and 100 F)?
  2. What is the probability of selecting someone who has a bodytemperature of at least 100 F?
  3. Find and interpret
  4. Take your body temperature (in degrees Fahrenheit) and stateit:

    1. Use your body temperature from above to find your percentilefor body temperature.
    2. Interpret the percentile value you found above.

Groups of Subjects

Now, assume that you are creating a sampling distribution of bysampling a group of people.

  1. State the expected mean and standard deviation for bodytemperatures in a group of 5 people.
  2. What is the probability of selecting a group of 5 people withan average body temperature below 97 F?
  3. What is the probability of selecting a group of 5 people whohave a body temperature of at least 98 F?
  4. What is the probability of selecting a group of 15 people whohave a body temperature of at least 98 F?
  5. Describe what happens to the standard deviation of the samplingdistribution as group size increases. Include mathematicaljustification.

please show work, i dont understand how to do this what so ever.tysm

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