In: Statistics and Probability
What is the standard deviation of the standard normal distribution?
What is the mean of the standard normal distribution?
All symmetric distributions are normal distributions. True or false?
Assume body temperature scores are normally distributed in the population with a mean of 36.81°C and a standard deviation of 0.41°C. A person's body temperature is 37.33°C. Calculate their z-score. (Round answer to 2 decimal places)
Calculate the z-score for a person who has a body temperature of 35.72°C. (Round answer to 2 decimal places)
A person's z-score for body temperature is calculated to be 2.41. What is their body temperature? (Round answer to 2 decimal places)
A person's z-score for body temperature is calculated to be -1.24. What is their body temperature? (Round answer to 2 decimal places)
If you take a random person from the population, what is the probability their body temperature will be less than 36.39°C? (Round answer to 2 decimal places)
If you take a random person from the population, what is the probability their body temperature will be less than 37.93°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be less than 35.82°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be greater than 36.02°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be greater than 37.39°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be greater than 38°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be between 36.13°C and 36.64°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be between 36.95°C and 37.05°C? (Round answer to 3 decimal places)
If you take a random person from the population, what is the probability their body temperature will be between 37.20°C and 37.30°C? (Round answer to 3 decimal places)
If you take a random person from the population and find that they scored in the 87th percentile for body temperature, what is their actual body temperature? (Round answer to 2 decimal places)
If you take a random person from the population and find that they scored in the 9th percentile for body temperature, what is their actual body temperature? (Round answer to 2 decimal places)
A mild fever is defined as a body temperature of 39°C. What percentile does a mild fever correspond to in the normal body temperature population? (Round your answer to two decimal places)