Please help I dont know where to start

the standard deviation of a simple random sample of 40 calling times on a payphone is found to be 2.6 minutes. find the test statistic to test a claim that the standard deviation of all phone calls on a payphone is less than 2.9 minutes. use a 0.05 significance level

32.152

31.348

48.519

34.966

Respuesta :

Answer:

Option B) 31.348  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 49

Sample standard deviation, s = 2.6 minutes

Population  standard deviation, [tex]\sigma[/tex] =  2.9 minutes

Significance level, [tex]\alpha[/tex] = 0.05

We have o find the test statistic.

Formula:

[tex]\chi^2 = \dfrac{(n-1)s^2}{\sigma^2}\\\\\chi^2 =\displaystyle\frac{(40-1)(2.6)^2}{(2.9)^2}\\\\\chi^2=31.348[/tex]

Thus, the test statistic is

Option B) 31.348

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