Total blood volume (in ml) per body weight (kg) is important in medical research

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

Hope this will helpful you. Thanks:)

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