A store owner cleins the wverege age of her customers is 34 years. She took a survey of 36 randomly selected customers and found the wersge age to be 35.9 years wath a standard exror of 1.252 . Carry cut a hypothesis test to determine if her daim is valid. (a) Which hypotheses should be tested? H0:=34vs.H0:>34H0:=34 vs. H0:+34H0:p=34 vs. Hb:p=34H0:=35.9 vs. H2:+35.9 (b) Find the test statistic: X (use 4 decimals.) (c) What is the P-value? X (Use 4 decimsis.) (d) What aheoid the store owner condude, for a =0.05 ? Aeject the inhial ciaim of 34 years, There is intufficient evdence the mean cuatamer ape is different than 34. bo not reject the infial daim at 34 years. There is whicient evidence the mean cubtener age is d Nerent than 34 , Heject the intial dim of 34 years. There is suffient evidence the mean cuntemer age is ditesen than 34. De nof reject the infial dimen of 34 years. There is ineuficient exdence the mesh custamer ase is drterent than 34 x (e) If mean oustemer age otily in equal to 35.3 years, but yoy condude it is equal to 34 years, which thpe of ener did you meke, If aiv? Type 3 error Troe 11 mitat The p-value is correct; therefore no error was made Both Thpe I and Type 11 error.