It is claimed that a random sample of 100 tyres with a mean life of 15269 kms is drawn from a population of tyres which has mean life of 15200 kms and standard deviation of 1248 kms. Test the validity of the claim at (1) 5% and (II) 1% level of significance.
Answers
Answer:
It is claimed that a random sample of 100 tyres with a mean life of 15269 kms is drawn from a population of tyres which has mean life of 15200 kms and standard deviation of 1248 kms. Test the validity of the claim at (1) 5% and (II) 1% level of significance.
Step-by-step explanation:
So the mean life is 15,269 kms and standard deviation is 1248
So X bar = 15,269, n = 100, µ = 15,200 and = 1248
So we have the equation
Z = X bar - µ / st dev / √n
= 15,269 – 15,200 / 1248 / √100
= 69 / 1248 / 10
= 69 / 124.8
= 0.552
So the value of Z = 0.552 which is less than 1.96 at 5% level of significance. Therefore the validity of claim is accepted.
Reference link will be
https://brainly.in/question/11133235