In: Statistics and Probability
1a. Provide an example of a research question in which you must test if the mean value of a variable is equal to its historical value and describe the null hypothesis..
1b. Which field of business uses these methods the most?
(a)
(i)
An example of a research question in which you must test if the mean value of a variable is equal to its historical value :
In the manufacturing industry, the mean length of a particular product should meet its specification.
So, the Research Question in this case is:
Does the mean length of the product in a sample is significantly
same as the specified mean value.
(ii)
The null hypothesis is:
H0: (the mean length of the product in a sample is significantly same as the specified mean value.) ,
where is the mean length of the product in a sample and is the specified mean value.
(b)
Field of business involving decision making in the areas of marking, quality control,and other business applications where the manager is unable to access the entire population and hence is forced to make appropriate statistical judgement based on sample test results uses these hypothesis testing methods the most.