SOLUTION: assuming that the mean systolic blood pressure of a normal adult is 120 millimeters of mercury(mmHg)and the standard deviation is 5.6. assume the variable is normally distributed,

Question 465156: assuming that the mean systolic blood pressure of a normal adult is 120 millimeters of mercury(mmHg)and the standard deviation is 5.6. assume the variable is normally distributed,
i). if an individual is selected, find the probability the individual's pressure will be between 120 and 121.8 mmHg
ii). if a sample of 30 adults is randomly selected, find the probability that the sample mean will be between will be between 120 and 121.8 mmHg
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
i)z=(121.8-120)/5.6=.321
The area under the normal curve between 0 and .321 is .126 the probability the individual's pressure will be between 120 and 121.8 mm Hg.
.
ii) (121.8-120)/(5.6/sqrt(30))
=(1.8/1.022)
=1.761
The area under the normal curve between 0 and 1.761 is .461, the probability that the sample mean will be between will be between 120 and 121.8 mm Hg.
.
Ed
RELATED QUESTIONS
Assume that the distribution of systolic blood pressure of adult men has a mean of 110... (answered by ikleyn)

The mean systolic blood pressure of adult males is normally distributed with a mean of... (answered by stanbon)

The systolic blood pressure of 18-year-old women is normally distributed with a mean of... (answered by Theo)

Assume that the systolic blood pressure of 30-year-old males is normally distributed with (answered by Boreal)

Totally lost on this. Assume that the mean systolic blood pressure of normal adults is... (answered by stanbon)

A study found that the mean systolic blood pressure was 106 mm Hg. Assume that systolic (answered by ewatrrr)

uppose the systolic blood pressure of an adult male is normally distributed with a mean... (answered by Boreal)

1. Based on data from the National Health Service, women between the ages of 18 and 24... (answered by stanbon)