contestada

A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim, a reputable testing firm took a random sample of 100 bulbs and life tested them. The testing firm found the average life of the sample to be 4500 hours with a sample standard deviation, s = 400 hours. The value of the test statistic for this problem isA 1.25B -1.25C 12.5D -12.5E None of the values listed

Respuesta :

JeanaShupp

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean :  [tex]\mu=4000[/tex]

Sample size : n= 100

Sample mean : [tex]\overline[x}=4500[/tex]

Standard deviation: [tex]s=400[/tex]

The value of test-statistic is given by :-

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5[/tex]

Hence, the value of the test statistic for this problem is 12.5.

Otras preguntas