Question

Suppose we want to compare fasting serum-cholesterol levels among recent Chinese immigrants to Ghana with typical levels found in the general Ghanaian population. Suppose we assume cholesterol levels in women ages 21−40 in Ghana are approximately normally distributed with mean 190 mg/dL. It is unknown whether cholesterol levels among recent Chinese immigrants are higher or lower than those in the general Ghanaian population. Let’s assume that levels among recent female Chinese immigrants are normally distributed with unknown mean μ. Hence we wish to test the null hypothesis H0: µ = µo = 190 vs. the alternative hypothesis H1: µ ≠ µo. Blood tests are performed on 100 female Chinese immigrants ages 21−40, and the mean level (x) is 181.52 mg/dL with standard deviation = 40 mg/dL What can we conclude on the basis of this evidence?

Answer #1

We want to compare fasting serum cholesterol levels of Filipino
women to that of the other foreign women. Assume the cholesterol
levels in 20- to 39-years old women in other foreign countries is
normally distributed with mean µ = 190 mg/dl. Blood tests are
performed on 100 female Filipinos in this age range rendered a
sample mean cholesterol level of 181.52 mg/dl and standard
deviation of 40 mg/dl. Conduct a test of hypothesis to determine
whether Filipino women have lower...

We want to compare the serum cholesterol levels of recent
immigrants with the levels found in the general population of the
US. It is known that the mean cholesterol level for a certain age
group in the US is 190 mg/dL. A random sample of 100 recent
immigrants of the same age group finds a mean of 181.52 mg/dL.
Assume that a population standard deviation is 48.23. Test at the
5% level to see if the level for recent immigrants...

We want to compare the serum cholesterol levels of recent
immigrants with the levels found in the general population of the
US. It is known that the mean cholesterol level for a certain age
group in the US is 189 mg/dL. A random sample of 100 recent
immigrants of the same age group finds a mean of 180 mg/dL. Assume
that a population standard deviation is 49. Test at the 5% level to
see if the level for recent immigrants...

According to a recent poll cholesterol levels in healthy adults
are normally distributed with a mean of 209 mg/dL and a standard
deviation of 35 mg/dL. A random sample of 42 healthy adults is
selected. Describe the sampling distribution of the sample mean
cholesterol level for the sample of 42 adults.

Example 1: Among females in the US in a given age cohort, a
diastolic blood pressure is normally distributed with mean µ = 95
mm Hg and standard deviation σ = 15 mm Hg. a) What is the
probability that a randomly selected woman has a diastolic blood
pressure less than 90 mm Hg? b) What is the probability that she
has a diastolic blood pressure greater than 95 mm Hg? c) What is
the probability that she has a...

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