Question Details

HCS 438
WEEK 4
Q1 (0.75 point total) Which of the following statements are correct? Answer Yes to those 
which are.
1a. A normal distribution is any distribution that is not unusual.
1b.The graph of a normal distribution is bell-shaped.

1c.If a population has a normal distribution, the mean and the median are not equal.
1d.The graph of a normal distribution is symmetric.

Q2. Using the 68-95-99.7 rule:
Assume that a set of test scores is normally distributed with a mean of 100 and a standard 
deviation of 20. Use the 68-95-99.7 rule to find the following quantities:

Suggest you make a drawing and label first...

2a. (0.25 point) Percentage of scores less than 100   


2b. (0.25 point) Relative frequency of scores less than 120  
2c. (0.25 point) Percentage of scores less than 140      

2d. (0.25 point) Percentage of scores less than 80    
2e. (0.25 point) Relative frequency of scores less than 60   

2f. (0.25 point) Percentage of scores greater than 120   
Q3. Assume the body temperatures of healthy adults are normally distributed with a mean of 
98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland 
researchers).

3a. (0.25 point) If you have a body temperature of 99.00 °F, what is your percentile score? 
3b. (0.25 point) Convert 99.00 °F to a standard score (or a z-score). 

3c1. (0.25 point) is a body temperature of 99.00 °F unusual?   
3c2. (0.25 point) Why or why not?       
of their body temperatures is 97.98 °F or lower?
3d. (0.25 point) Fifty adults are randomly selected. What is the likelihood that the mean
3e1. (0.25 point) A person's body temperature is found to be 101.00 °F. Is the result unusual?
  
The temperature is unusual.

3e2. (0.25 point) Why or Why Not and what should you conclude?   
3f. (0.25 point) what body temperature is the 95th percentile?
3g. (0.25 point) What body temperature is the 5th percentile? 
are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F. Bellevue 
Q4. Bellevue Hospital in New York City also assumes the body temperatures of healthy adults 
uses 100.6 °F as the lowest temperature considered to indicate a fever.
4a. (0.25 point) what percentage of normal and healthy adults would be considered to have a 
fever?   
4b. (0.25 point) Does this percentage suggest that a cutoff of 100.6 °F is appropriate?
  Explain your reasoning.