Question

Show all workings. Question 1 Production Rates A manufacturing company wishes to find out whether the productivity of its workforce has increased now that they have a new machine. The factory examined the records for a random sample of 8 hours over the past month. The hourly production rates for these 8 hours were: 142 175 162 158 190 154 160 185 13181 Suppose the production rate before the use of the new machine is 155 units per hour. Test at 5% if the new machine has increased workers' productivity on average using both the: (a) p-value approach, and (b) critical value approach. Note: For part (a), you should use the "t-dist function in excel.

Answer 1

Solutievn Give dalã l42, 175, 162, 158, 0, 5 60, 6S, 113 18 # 155 142+17 5 +162+- +173+81 G80 IO slandad deviation ơ--lzei) 676 t 49 + 36 t loo + 484+196+64 +289+8ς+169 10 2088 r- 20 8-8 ơ- 20 8.8 '4 asing ρ_valu Calculatev p : 0.009623 nutl hypolkasis we can uejecr a) o.009 62 3 b) 1.833