Respuesta :
Possible intervals are ( 120 ±12, 140 ±14) , ( 120, 140 ±14) , ( 120 ±12, 140)
Step-by-step explanation:
Here, we have A 90% confidence interval is found to be (120, 140).
There are various Cases possible as:
Case 1:
There is 10% error in both minimum and extreme values i.e. 120 & 140 ,
Error in 120 is 10% i.e. [tex]\frac{120}{100} \times10[/tex] = 12, Since value can be more or less in error ∴ Error in 120 is ±12.
Similarly, Error in 140 is 10% i.e. [tex]\frac{140}{100} \times 10[/tex] = 14, Since value can be more or less in error ∴ Error in 140 is ±14.
Possible intervals are ( 120 ±12, 140 ±14).
Case 2:
There is error in 120 only, ∴ Error in 120 is ±12.
Possible intervals are ( 120 ±12, 140).
Case 3:
There is error in 140 only, ∴ Error in 140 is ±14.
Possible intervals are ( 120, 140 ±14).
