9. Carboxy-hemoglobin is formed when hemoglobin is exposed to carbon monaxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin In their blood (Reference: A Manual of Laboratory and Diagnostic Tests by F. Fischbach). Let x be random variable rep- resenting percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n-12 blood tests glven to a heavy smoker gave the following results (percentage of carboxyhemoglobin in the blood):

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9. Carboxy- hemoglobin is formed when hemoglobin is exposed to carbon monoxide.
Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood
(Reference: A Manual of Laboratory and Diagnostic Tests by F. Fischbach). Let x be a
random variable rep- resenting percentage of carboxyhemoglobin in the blood. For a
person who is a regular heavy smoker, x has a distribution that is approximately
normal. A random sample of n-12 blood tests given to a heavy smoker gave the
following results (percentage of carboxyhemoglobin in the blood):
9.1 9.5 10.2 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9
Where = 10.49 and s = 1.36.
A long-term population mean u -10% is considered a health risk. However, a long-
term population mean above 10% is considered a clinical alert that the person may be
asymptomatic. We will investigate the claim: the data indicate that the population
mean percentage is higher than 10% for this patient? Use a = 0.05.
a. Find the test statistic.
b.
Find the critical value zo that defines the rejection region.
c. Would you support the claim? Why?
d. Use the given data to find a 99% confidence interval for u for this patient.
Transcribed Image Text:9. Carboxy- hemoglobin is formed when hemoglobin is exposed to carbon monoxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood (Reference: A Manual of Laboratory and Diagnostic Tests by F. Fischbach). Let x be a random variable rep- resenting percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n-12 blood tests given to a heavy smoker gave the following results (percentage of carboxyhemoglobin in the blood): 9.1 9.5 10.2 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9 Where = 10.49 and s = 1.36. A long-term population mean u -10% is considered a health risk. However, a long- term population mean above 10% is considered a clinical alert that the person may be asymptomatic. We will investigate the claim: the data indicate that the population mean percentage is higher than 10% for this patient? Use a = 0.05. a. Find the test statistic. b. Find the critical value zo that defines the rejection region. c. Would you support the claim? Why? d. Use the given data to find a 99% confidence interval for u for this patient.
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