Question

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 13 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. A sample of 35 surveys from a particular dient provided the survey times shown in the file named Fowle. Based upon past studies, the population standard deviation is assumed known with 9 minutes. Is the premium rate justified for this dient? 17 16 11 23 12 22 23 18 20 23 15 23 25 14 12 19 11 12 12 20 18 11 20 21 11 18 14 13 | 13 | 10 | 16 | 10 | 22 | 18 | 23 (a) Formulate the null and alternative hypotheses for this application HOIR 2 13 H. 13 HH 13 Hol > 13 HIS13 Molusi H > 13 M13 H213 (0) Compute the value of the test statistic. (Round your answer to two decimal places. (c) What is the p-valut? Round your answer to four decimal places) d o te here to search 5 6 7 8 9 0 1

Answer 1

Solution:- (a) we find null and atternative hupothes's -from da ta gi ven * Mean (r) - 13 : 35 (af = 34) SD )- 9 nuti hupothesis Ho: Ms 13 Alterna tive hypothes's Ha (b we find tet stadishie d-4 17- 13 4/1.5213 t= 2.63 find P value (c)we t score ,df P value 2.63, 34 O.0064 find conclusion d) we P value <o 0! Reject null hypothes's. Reject tto. There is Sufficieut eviduce to conclude tha t should be chonged. op tion Correct. rate the Premi mum