The claim is that the white blood cell counts of adult femal

The claim is that the white blood cell counts of adult females are normally distributed, with a standard deviation equal to 3.34 . A random sample of 44 adult females has white blood cell counts with a mean of 7.84 and a standard deviation of 3.92. Find the value of the test statistic

Solution

The claim was about the standard deviation being equal to 3.34.

Hence, we use the chi squared test here.

Formulating the null and alternative hypotheses,              
              
Ho:   sigma   =   3.34  
Ha:    sigma   =/   3.34  
              
  
Getting the test statistic, as              

s = sample standard deviation =    3.92          
sigmao = hypothesized standard deviation =    3.34          
n = sample size =    44          
              
              
Thus, chi^2 = (N - 1)(s/sigmao)^2 =    59.23080785 [ANSWER]