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In: Statistics and Probability

The meantime between failures (in hours) for a company used is 420. after 15 new things...

The meantime between failures (in hours) for a company used is 420. after 15 new things were modified an attempt to improve reliability, tests we're conducted to measure the times between failures. the mean time for 15 new things is 442.2 and the standard deviation is 44. test the claim at the modified radios have a mean greater than 420 using a significance level of 0.025.

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Expert Solution

Ho :   µ =   420                  
Ha :   µ >   420       (Right tail test)          
                          
Level of Significance ,    α =    0.03                  
sample std dev ,    s =    44.0000                  
Sample Size ,   n =    15                  
Sample Mean,    x̅ =   442.2000                  
                          
degree of freedom=   DF=n-1=   14                  
                          
Standard Error , SE = s/√n =   44.0000   / √    15   =   11.3608      
t-test statistic= (x̅ - µ )/SE = (   442.200   -   420   ) /    11.3608   =   1.95
                             
                          
p-Value   =   0.0355   [Excel formula =t.dist(t-stat,df) ]             
Decision:   p-value>α, Do not reject null hypothesis                       
there is not enough evidence to say that modified radios have a mean greater than 420

............................


THANKS

revert back for doubt

please upvote

orchestra answered 1 year ago
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