y se 20 ose testing, continued. Shelia's measured accordir with reports that the of ages at time of in the 13.37 at The World Organization 13.34 measured drink varies = 125 mg/dl IP/Bu mg/dl. Let's consider what could happen if we cordins the Normal distribution with %3D k 4 separate measurements from Shelia. What is the poold lood gicose such that the probability is only 0.05 that the average o pue level L of 4 measurements is larger than L? (Hint: measured potassium level varies according to the Normal distribution with u = 3.8 and o = 0.2 mmol/l. Let's consider what could happen if we took 4 separate measurements from Judy. What is the blood potassium level L such that the probability is only 0.05 that the average of 4 measurements is less than L? (Hint: This requires an inverse Normal calculation.) 13.36 Pregnancy lengths. The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal, with mean 266 days and standard deviation 16 days. A study enrolls a random sample of 16 pregnant women. la) What are the mean and standard deviation of the sampling distribution of x? (6) What is the probability that the average pregnancy length exceeds 270 days? 13.37 Age at death. The WWorld Health Organization reports that the distribution of ages at time of death in the Initod Stotor bas a mean u of 79.8 years and a standard ntes

MATLAB: An Introduction with Applications
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y se
20 ose testing, continued. Shelia's measured
accordir with
reports that the of ages at time of in the
13.37 at The World Organization
13.34 measured
drink varies
= 125 mg/dl
IP/Bu
mg/dl. Let's consider what could happen if we
cordins the Normal distribution with
%3D
k 4 separate measurements from Shelia. What is the
poold
lood gicose such that the probability is only 0.05
that the average
o pue
level L
of 4 measurements is larger than L? (Hint:
measured potassium level varies according to the Normal
distribution with u = 3.8 and o = 0.2 mmol/l. Let's
consider what could happen if we took 4 separate
measurements from Judy. What is the blood potassium
level L such that the probability is only 0.05 that the
average of 4 measurements is less than L? (Hint: This
requires an inverse Normal calculation.)
13.36 Pregnancy lengths. The length of human
pregnancies from conception to birth varies according to a
distribution that is approximately Normal, with mean
266 days and standard deviation 16 days. A study enrolls
a random sample of 16 pregnant women.
la) What are the mean and standard deviation of the
sampling distribution of x?
(6) What is the probability that the average pregnancy
length exceeds 270 days?
13.37 Age at death. The WWorld Health Organization
reports
that the distribution of ages at time of death in the
Initod Stotor bas a mean u of 79.8 years and a standard
ntes
Transcribed Image Text:y se 20 ose testing, continued. Shelia's measured accordir with reports that the of ages at time of in the 13.37 at The World Organization 13.34 measured drink varies = 125 mg/dl IP/Bu mg/dl. Let's consider what could happen if we cordins the Normal distribution with %3D k 4 separate measurements from Shelia. What is the poold lood gicose such that the probability is only 0.05 that the average o pue level L of 4 measurements is larger than L? (Hint: measured potassium level varies according to the Normal distribution with u = 3.8 and o = 0.2 mmol/l. Let's consider what could happen if we took 4 separate measurements from Judy. What is the blood potassium level L such that the probability is only 0.05 that the average of 4 measurements is less than L? (Hint: This requires an inverse Normal calculation.) 13.36 Pregnancy lengths. The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal, with mean 266 days and standard deviation 16 days. A study enrolls a random sample of 16 pregnant women. la) What are the mean and standard deviation of the sampling distribution of x? (6) What is the probability that the average pregnancy length exceeds 270 days? 13.37 Age at death. The WWorld Health Organization reports that the distribution of ages at time of death in the Initod Stotor bas a mean u of 79.8 years and a standard ntes
Expert Solution
Step 1
We have given that.
 
X~N( μ , ?^2 )
 
μ =266 , ? =16 , n=16
 
Z-score =( x - μ )/?
 
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