Total blood volume (in ml) per body weight (kg) is important in medical research
ID: 3174976 • Letter: T
Question
Total blood volume (in ml) per body weight (kg) is important in medical research. For all healthy adults, the RBC volume is about 28 ml/kg. (Reference: Laboratory and Diagnostic Tests, F. Fischbach). RBC volume that is too low or too high can indicate a medical problem. Suppose that a patient has had seven blood tests and the RBC volumes were: 32 25 41 35 30 37 29. Assume that the variable x (patient's RBC volume) has a normal distribution with sigma = 4.75 ml/kg. Use a 1% significance level and determine whether the sample data indicate that this patient's RBC volume is different from the RBC of healthy adults. H_0: Words: H_1: Words: Critical value Test value Decision Conclusion:Explanation / Answer
Here using Minitab output :
One-Sample Z: RBC Volume
Test of = 28 vs 28
The assumed standard deviation = 4.75
Variable N Mean StDev SE Mean 95% CI Z P
RBC Volume 7 37.00 8.96 1.80 (33.48, 40.52) 5.01 0.000
Null Hypothesis : = 28 In Words: There is RBC volume does not different from RBC of healthy adult
Alternative Hypo: 28In Words : There is RBC volume is different from RBC of healthy adult
Critical z value : Here test is two tailed so using z table critical z value for 1% Level of significance is +/- 2.57
Test Value : From above output Test value is 5.01
Decision : Critical z value < Test value so we reject the null hypotheis
Conclusion: From above decision we conclude that there is RBC volume is different from RBC of healthy adult
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