If 16 students are randomly selected find the probability

Reference no: EM13641106

As shown in your earlier work, assuming the systolic blood pressure among women college students is normally distributed with mean of 114.6 and standard deviation of 14.1. The following questions are very similar to your last assignment except that this time, it is not the probability of one student selected at random, but the probability of the average from a group of students.

a) If 16 students are randomly selected, find the probability that their average systolic blood pressure is between 105 and 125.

b) If 25 students are randomly selected, find the probability that their average systolic blood pressure is greater than 120.

c) If 4 students are randomly selected, find the probability that their average systolic blood pressure is less than 100.

d) If 9 students are randomly selected, find the probability that their average systolic blood pressure is outside of the interval between 100 and 130?

e) Of all possible random samples of 9 students, 95% of their averages are above what value?

f) Of all possible random samples of 30 students, 90% of their averages are between what two values symmetrically distributed around the mean of 114.6?

g) If a recording of the average blood pressure from a random sample of 25 students had only one reading of 110, do you think it is more likely to be a systolic or a diastolic recording? (Must show computations to backup your claim. Hint: Compare the probability of having a systolic BP <110 with the probability of having a diastolic BP >110. The diastolic BP has a mean of 72.7 and S.D. of 10.1.)

Hypertension is commonly defined as whose with a blood pressure of 140 or above, thus 2.74% of the population of women college students has Hypertension.

h) What is the approximate minimum sample size we need for us to use the normal approximation to study the proportion of hypertension issue in the population?

i) In a random sample of 200 women college students, what is the probability that we see less than 2.5% of them having hypertension?

j) What is the probability that we see between 2% and 3% of them having hypertension in our sample?

Reference no: EM13641106

Questions Cloud

Find the empirical formula for the ion mnxo-y using this : find the empirical formula for the ion mnxo-y using this experimental info the reaction below takes place in a 608 ml

A damping ratio of 08 determine a the dynamic error when : a strain gage system is mounted on an airplane wing to measure wing oscillations and strain during wind gusts. the

What is the probability that a ve-card poker hand is a : 1. what is the probability that a ve-card poker hand is a three of a kind three cards of one rank two cards of di erent

You are driving home from school steadily at 95 rm kmh for : you are driving home from school steadily at 95 rm kmh for 150 rm km. it then begins to rain and you slow to 50 rm kmh.

If 16 students are randomly selected find the probability : as shown in your earlier work assuming the systolic blood pressure among women college students is normally distributed

A stone is dropped from the roof of a high building a : a stone is dropped from the roof of a high building. a second stone is dropped 2.00 rm s later. how far apart are the

Two bars are held together by 6 bolts bar 1 has a modulus : two bars are held together by 6 bolts. bar 1 has a modulus of e a cross-sectional-area of a and a length of l2. it has

Alice pays bob a number of dollars equal to the sum of the : alice pays bob a number of dollars equal to the sum of the values of any dice matching bobs guess. so for example

How much entropy is generated by this process and does this : steam is expanded from 20 bars 280 c to 100kpa through an adiabatic steady flow turbine whose isentropic efficiency is

User Account

All Pages