Question

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.​

Answer 1

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.

Answer 2

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