Quantitative Methods exercises, Exercises of Statistics

Quantitative Methods exercises

Typology: Exercises

2019/2020

Uploaded on 02/25/2020

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1 | P a g e o f 2
Learning Module 3
RUBEN O. MAGOS, MPRM-B July 15, 2018
Classroom Exercise
1. Problem Statement
Is there a significant difference between the two brands of
photocopying machines’ mean repair time?
2. Hypotheses
Ho: There is no significant difference between the two brands of
photocopying machines’ mean repair time.
Ha: There is a significant difference between the two brands of photocopying
machines’ mean repair time.
3. Choice of test statistic and :α:
T–test of two independent samples, =0.05.α =0.05.
4. Computation
T – Value = - 2.12
P – Value = 0.036
5. Decision Rule & Finding
Decision Rule: Reject Ho if level of significance (α) > p-value ) > p-valueα =0.05.
Finding: (α) > p-value0.05) > p-value (α) > p-value0.036) α =0.05.
6. Decision
Reject the null (α) > p-valueHo) hypothesis
7. Interpretation and Analysis
There is a significant difference between mean repair time of the two
brands of photocopying machines. Brand A outperformed Brand B as can be
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1 | P a g e o f 2 Learning Module 3 RUBEN O. MAGOS, MPRM-B July 15, 2018 Classroom Exercise

1. Problem Statement Is there a significant difference between the two brands of photocopying machines’ mean repair time? 2. Hypotheses Ho: There is no significant difference between the two brands of photocopying machines’ mean repair time. Ha: There is a significant difference between the two brands of photocopying machines’ mean repair time. 3. Choice of test statistic and α:: T–test of two independent samples, α =0.05.=0.05. 4. Computation T – Value = - 2. P – Value = 0. 5. Decision Rule & Finding Decision Rule: Reject Ho if level of significance (α) > p-value α =0.05.) > p-value Finding: α =0.05.(α) > p-value0.05) > p-value (α) > p-value0.036) 6. Decision Reject the null (α) > p-valueHo) hypothesis 7. Interpretation and Analysis There is a significant difference between mean repair time of the two brands of photocopying machines. Brand A outperformed Brand B as can be

2 | P a g e o f 2 observed from the given mean repair time where Brand B was repaired more often at 91.6 times than Brand A at 84.2 times posing a 7.4 times difference.

8. Implications The significant difference between the mean repair times of two brands may be attributed to various factors. It may be because of the make and model of the two brands. The working conditions could also be consider to the wear and tear of the equipment and lastly, the manpower utilizing these photocopying machine machines. 9. Conclusion Brand A is better than brand B.