A computer company that recently introduced a new software product claims t a^at

Question

A computer company that recently introduced a new software product claims t a^at familiar taken to learn how to use this software is not more than 2 hours for people who arc with computers. A random sample of 12 such persons was selected. The following at a has taken (in hours) by these persons to learn how to use this software. Test at significance level whether the company's claim is true. Assume that the times taken by all persons who are some what familiar with computers to learn how to use this software arc approximates normally distributed

Explanation / Answer

7.

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   2  
Ha:    u   >   2  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    11          
tcrit =    +   2.718079184      
              
Getting the test statistic, as              
              
X = sample mean =    2.233333333          
uo = hypothesized mean =    2          
n = sample size =    12          
s = standard deviation =    0.480687639          
              
Thus, t = (X - uo) * sqrt(n) / s =    1.681529359          
              
Also, the p value is              
              
p =    0.060399439          
              
As t < 2.718, and P > 0.01, we   FAIL TO REJECT THE NULL HYPOTHESIS.          

Hence, there is no significant evidence that the company's claim is not true that the mean time taken to learn how to use this software is not more than 2 hours for people who are somewhat familiar with computers, at 0.01 level. [CONCLUSION]

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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