### Problem 5 Total blood volume (in ml) per body weight (in kg) is important in

Question

### Problem 5 Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about ${fmu) = 28$ $mL/kg. Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that an adult male has had seven blood tests, and the red blood cell volumes were 32, 25, 41, 35, 30, 37, and 29. Let $x$ be a random variable that represents male's blood test. Assume that $x$ has a normal distribution and ${f sigma} = 4.75$. Do the data indicate the male's red blood celi volume is different (either way) from ${f Nmu} = 28$ $ml/kg. Use ${f alpha} = 0.01$ 1evel of significance. # Insert R code below this line

Explanation / Answer

mu=28
x=c(32,25,41,35,30,37,29)
n=length(x)
sigma=4.75
m=mean(x)

z=(m-mu)/(sigma/sqrt(n)) ## by definition the result of z-statistics

pvalue=2*min(pnorm(z),pnorm(z,lower.tail=FALSE)) #by definition
#pvalue=min(P(N(0,1)<z),PP(N(0,1)>z))

alpha=0.01
pvalue

if(pvalue<alpha)
paste("H0 is rejected")# you can ignore the warning,it is not important for us
else(pvalue>alpha)
print("We fail to reject H0")

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