The claim is that the white blood cell counts of adult females are normally distributed, with a standard deviation equal to 1.681.68. a random sample of 3939 adult females has white blood cell counts with a mean of 7.237.23 and a standard deviation of 1.951.95. find the value of the test statistic.

Question

Mathematics

Ivy Rhodes

11 September, 11:42

The claim is that the white blood cell counts of adult females are normally distributed, with a standard deviation equal to 1.681.68. a random sample of 3939 adult females has white blood cell counts with a mean of 7.237.23 and a standard deviation of 1.951.95. find the value of the test statistic.

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Braylon Vaughan · Answer 1

The population standard deviation, σ = 1.68, the sample standard deviation, s = 1.95, the sample mean = 7.23, and the sample size, n = 39. The test statistics is given by

T = (n - 1) (s / σ) ²

= (39 - 1) (1.95 / 1.68) ²

= 38 (1.35) = 51.196