Question

In: Statistics and Probability

A group of students estimated the length of one minute without reference to a watch or​...

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?

72
81
36
63
45
27
60
66
68
49
62
73
92
89
65

Determine the test statistic. __
(Round to two decimal places as​ needed.)

Determine the​ P-value. __
(Round to three decimal places as​ needed.)

Solutions

Expert Solution

Null hypothesis  

           
              
Alternative hypothesis

           
              
We have for given sample,              
Population mean for given sample=60
Sample mean=63.2      
Sample standard deviation s=18.155  
Sample size =n=   15      
              
Degree of freedom = n-1 =14  
              
              
              
t test statistic formula is              

P value is =0.508.....................by using Excel command TDIST(0.68,14,2)

P value is =0.508 > 0.01

We do not have sufficient evidence at to say that , students are reasonably good at estimating one​ minute

orchestra answered 2 years ago
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