Question

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.

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