Name:

Normal Distribution Activity Date:

Normal Distribution Activity

1.The following information was collected from patients using portable oxygen tanks. As a nurse, you will need to know that average time a portable oxygen tank will last so that you know when a patient will need a new tank. The length of time, in hours and minutes, a portable oxygen tank lasted for 12 patients are listed below. You will need to convert all times to minutes.

Data Analysis Tool:https://www.utdanacenter.org/our-work/higher-education/curricular-resources-higher-education/dcmp-data-analysis-tools

2 hr, 15 min 1 hr, 40 min 1 hr, 45 min 2 hr, 5 min

2 hr, 10 min 1 hr 55 min 1 hr, 30 min 2 hr, 30 min

2 hr, 5 min 1 hr, 50 min 1 hr, 40 min 1 hr, 50 min

a. Find the average time a portable oxygen tank lasts. Give answer in hr and min.

b. Find the median time a portable oxygen tank lasts. Give answer in hr and min.

c. Find the mode time a portable oxygen tank lasts. Give answer in hr and min.

d. Find the standard deviation for the time a portable oxygen tank lasts. Round to the nearest hundredth.

e. What percent of patients' portable oxygen tanks can be expected to last more than 2 hours?Draw the normal curve and then answer the question using the Data Analysis Tool.

f. What percent of patients' portable oxygen tanks can be expected to last less

than 1 hr and 45 min? Draw the normal curve and then answer the question using the Data Analysis Tool.

Draw the normal curve and then answer the questions using the Data Analysis Tool.

2. A professor's exam scores are normally distributed with a mean of 80 anda standard

deviation of 5.

a. What percent of the students scored above a 74%?

b. What percent of students scored below an 83%?

c. What percent of students scored between a 78% and a 92%?

3. Birth weights in Norway are normally distributed with a mean of 3570 g and a standard deviation of 500 g.

a. What percent of babies are born weighing less than 4000 g?

b. What percent of babies are born weighing more than 3800 g?

c. What percent of babies are born weighing between 3000 g and 4000 g?