A cheese manufacturer is seeking to determine whethertwo different kinds of packaging of a certain kind of cheese differ in their ability to protect the cheese from unwanted mould. To do so, 20 equal-sized pieces of cheese are cut from one randomly selected block; 1!] are packaged by Method A and ii] are packaged by Method B. At 1i} different locations, one Method A pack and one Method 13 pack are left until mould appears. The results (in days} before mould appears are proyided in the file Questionixls. a] Use Excel to test whether there is a differencer at the 5% significance level, between the abilities of the two different kinds of packaging to protect the cheese from mould. [6 marks] b] Prior to the above analysis, a manufacturing employee had commented that, based on his knowledge of cheese packaging, the difference in mean days for mould to appear would surely not be more than one day. Explain. using support from a hypothesis test performed at the 5% significance ieyel your conclusions about his comment. [4 marks]