Aman who moves to a new city sees that there are two routes he could take to work. a neighbor who has lived there a long time tells him route a will average 5 minutes faster than route b. the man decides to experiment. each day, he flips a coin to determine which way to go, driving each route 20 days. he finds that route a takes an average of 40 minutes, with standard deviation 3 minutes, and route b takes an average of 43 minutes, with standard deviation 2 minutes. histograms of travel times for the routes are roughly symmetric and show no outliers. a) find a 95% confidence interval for the difference in average commuting time for the two routes. (from technology, df = 33.1) b) should the man believe the old-timer 's claim that he can save an average of 5 minutes a day by always driving route a? explain.

(a) Confidence Interval for Route A is (38.61, 41.39)min

Confidence Interval for Route B is (42.07, 43.93)min

(b) No

Step-by-step explanation:

(a) Route A

Mean=40min, sd=3min, df=33.1, t=2.0675, n=20

CI = (mean + or - t×sd/√n)

CI = (40 + 2.0675×3/√20) = 40+1.39 = 41.39min

CI = (40 - 2.0675×3/√20) = 40 - 1.39 = 38.61min

CI for Route A is (38.61,41.39)min

Route B

Mean=43min, sd=2min, t=2.0675, n=20

CI = (43 + 2.0675×2/√20) = 43+ 0.93 = 43.93min

CI = (43 - 2.0675×2/√20) = 43 - 0.93 = 42.07min

CI for Route B is (42.07,43.93)min

(b) He should not believe the old timer's claim. The man saves an average of 3 minutes a day by driving Route A

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

what are the statments

step-by-step explanation: