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 µ = 28 ml/kg with a standard deviation of 4.75 ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices 0.99 2.42 2.62 2.22
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 µ = 28 ml/kg with a standard deviation of 4.75 ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices 0.99 2.42 2.62 2.22
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 µ = 28 ml/kg with a standard deviation of 4.75 ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices 0.99 2.42 2.62 2.22
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 µ = 28 ml/kg with a standard deviation of 4.75ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01.
Roger has had seven blood tests and the red blood cell volumes were:
32 25 41 35 30 37 29
Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows
Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg
What value of the test statistic (z) should he report?
(Sampling a Normal Distribution for the Mean µ)
Group of answer choices
0.99
2.42
2.62
2.22
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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