A sports writer wants to see if a football filled with helium travels farther, on average, than a football filledwith air. 10 footballs were filled with helium to the recommend pressure and 11 footballs were filled withair to the recommended pressure. The mean yardage for the helium filled footballs was 231 yards with astandard deviation of 5 yards. The mean yardage for the air filled footballs was 234 yards with a standarddeviation of 2 yards.Construct a 98% confidence interval for the mean difference in yardage for the two types of footballs.Assume the populations are normal with equal variances. Round your answers to three decimal places, anduse four decimal places for any interim calculations.Hint: Identify the type of t-procedure, and complete the confidence interval accordingly.We are 98% confident that the interval -7.141 X 1.141 x) contains the true mean difference12 in yardage between the two types of footballs.What can you conclude about the sports writer's idea that helium footballs travel farther, on average?O The helium footballs travel farther on average than the other footballs.The other footballs travel farther on average than the helium footballs.O The helium footballs are no different than the other footballs, on average.

Solution: From the given information,

of 2 yards. t a 98% confidence interval for the mean difference in yardage for the two ty the populations are normal with equal variances. Round your answers to three decimal places for any interim calculations. entify the type of t-procedure, and complete the confidence interval accordin 8% confident that the interval (-7.141 X 1.141 x) contains the true in yardage between the two types of footballs.

of 2 yards. t a 98% confidence interval for the mean difference in yardage for the two ty the populations are normal with equal variances. Round your answers to three decimal places for any interim calculations. entify the type of t-procedure, and complete the confidence interval accordin 8% confident that the interval (-7.141 X 1.141 x) contains the true in yardage between the two types of footballs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

See similar textbooks