Problem 2 (5 points): A manager is interested in assigns 36 keyboardi ists to 4

Question

Problem 2 (5 points): A manager is interested in assigns 36 keyboardi ists to 4 different groups (all ns - 9). Group 1 types on a Microsoft keyboard, Group 2 on a Logitech keyboard, Group 3 types on an Apple keyboard, and Group 4 types on an IBM keyboard The manager records the words deviations were recorded. Test the hypothesis that keyboard affects typing speed. per minute typed by each group. The following means and standard SD Group Group 1 (Microsoft) Group 2 (Logitech) Group 3 (Apple Group 4 (IBM) Mean 6 4 89 81 83 85 9

Explanation / Answer

here null hypothesis:Ho:all type of keyboards have equal mean typing speed.

alternate hypothesis: Ha:not all type of keyboards have equal mean typing speed.

applying one way ANOVA test:

for abvoe test statistic F=2.13

for 0.05 level and (3,32) degree of freedom crtiical value F=2.90

as test statistic is nt higher than crtiical value we can not reject null hypotheiss

we do not have evidene at 0.05 leel to conclude that keyboard affects typing speed.

c ni x?i S2i ni*(Xi-Xgrand)2 (ni-1)*S2i Group 1 9 89.000 36.000 182.250 288.00 Group 2 9 81.000 16.000 110.250 128.00 Group 3 9 83.000 64.0000 20.250 512.00 Group 4 9 85.000 81.0000 2.250 648.00 grand mean= 84.500 315.000 1576.00 SSTr SSE Source of variation SS df MS F treatment 315.000 3 105.00 2.13 error 1576.000 32 49.25 total 1891.000 35

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.