Steve believes that his wife’s cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 15.8 hours with a standard deviation of 5.6 hours. He measured the length of time his wife’s cell phone battery lasted on six different occasions and calculated a mean of 22.5 hours with a standard deviation of 3.8 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve’s cell phone and Population 2 be the battery life of his wife’s cell phone. Step 1 of 2 : Construct a 95% confidence interval for the true difference in mean battery life between Steve’s cell phone and his wife’s. Round the endpoints of the interval to one decimal place, if necessary
Steve believes that his wife’s cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 15.8 hours with a standard deviation of 5.6 hours. He measured the length of time his wife’s cell phone battery lasted on six different occasions and calculated a mean of 22.5 hours with a standard deviation of 3.8 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve’s cell phone and Population 2 be the battery life of his wife’s cell phone. Step 1 of 2 : Construct a 95% confidence interval for the true difference in mean battery life between Steve’s cell phone and his wife’s. Round the endpoints of the interval to one decimal place, if necessary
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Steve believes that his wife’s cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 15.8 hours with a standard deviation of 5.6 hours. He measured the length of time his wife’s cell phone battery lasted on six different occasions and calculated a mean of 22.5 hours with a standard deviation of 3.8 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve’s cell phone and Population 2 be the battery life of his wife’s cell phone.
Step 1 of 2 :
Construct a 95% confidence interval for the true difference in mean battery life between Steve’s cell phone and his wife’s. Round the endpoints of the interval to one decimal place, if necessary.
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