Question

6.) Travelers pay taxes for flying, car rentals, and hotels. The following data represent the total travel tax for a 3-day business trip in 8 randomly selected cities. 67.81 78.69 68.99 84.36 80.24 86.14 101.27 99.29 The population is normally distributed. Construct a 95% confidence interval for the mean tax paid for a three-day business trip. USE PANIC

PANIC = prameter , assumptions , name, interval, conclusion

Answer 1

Given that Parameter is n-a. @ 2 3) no the population mean tax paid for three-day business trip. Assumptions are. Data must be sampled randomly Sample Values must be independent of each other When the Sample is drawn b without replacement, the sa male size in should be more than 51 of the population Population should be normally distributed Here using & value for confi. dence interval because n=8 <30 and population standard deviation is unknown. estimate of population mean is the som ble mean. 66679 Samtale megn. Te Ex 8 V 83.3488 Sample standard deviation 8 = (EX*-7) ع لدا- dre The point = nal S = /167.81-83,3488) + + ( 99.2.9-83.3408) 8-1 S = 12:3236

C = 95. Conti cal 2 = 0.05 it -Value at d=0105 = 2,365 df = n-1 =7 95% corifidonce interval for for mean = n I thiasan CI 3:3488+2:365 x 12.3236 18 E 83.3488 10,3044 -95% CI CI =(73:0444 93.6532) Conclusion- We are 95% confident that the tax paid for a a three-day business trip is between 73:0444 and 93.6532 mean