Question

3399

A manufacturer of automobile products has developed a new wax and is interested in comparing the new wax with their standard wax to determine if the new wax will protect a car for a longer period of time. In order to make a comparison, both waxes are applied to five new cars respectively and exposed to the same environmental conditions. The results of the test are: Standard Wax New Wax ni = 5 n2 = 5 1 = 86.80 hours of effectiveness X2 = 92.40 hours of effectiveness si = 2.88 hours S2 = 2.49 hours If ui = population mean number of effective hours for standard wax and u2 = population mean number of effective hours for the new wax, then the manufacturer's alternative hypothesis is:

Answer 1

We have u_{​​​​​​1} is population mean number of effective hour for standard wax and u_{​​​​​​2} is population mean number of effective hour for new wax. Manufacturer's want to determine if the new wax will protect a car for longer period of time. Therefore,

Manufacturer's alternative hypothesis is H_{​​​​​​1} :u_{​​​​​​1} < u_{​​​​​​2}