1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yawa3891 [41]
3 years ago
9

A man 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 t

ells 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.
Mathematics
2 answers:
IrinaK [193]3 years ago
4 0

Answer:

Given

A will take 5 more average minutes faster than B

A drives each route 40 days

Standard deviation=3

Confidence interval=95%

From the given data man should claim that she should save average of 5 minutes a day by driving.

Mandarinka [93]3 years ago
3 0

Answer:

(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

You might be interested in
What percent of 200 is 290
GrogVix [38]

\frac{290}{200} * 100 = 1.45 * 100 = 145.

So, Our final answer is 145%
8 0
3 years ago
Read 2 more answers
Wesley office had already recycled 37 kilograms this year before starting a new recycling plan, and the new plan will have the o
borishaifa [10]

Answer:

37 kilograms alr recycled this year

Plan:

1 kilogram each week

After 13 weeks he would of recycled 13 kilograms

37+13=50

In total his office wesley's have recycled 50 kilograms of paper

Hope this helps

8 0
3 years ago
Mrs. Morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound. How did she pay for the
lara [203]
$1.79 for bananas ($1.785 to be exact)
$5.36 for pineapples ($5.355 to be exact)
8 0
2 years ago
omar tariq has a credit card that uses the unpaid balance method to compute the finance charge. His monthly periodic rate is 2.4
german
The answer is B) previous balance
7 0
3 years ago
Whats the slope of this line?
zhannawk [14.2K]
Slope = (y2 - y1)/(x2 - x1) = (10 - 70)/(5 - (-15)) = -60/(5 + 15) = -60/20 = -3
6 0
3 years ago
Other questions:
  • If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?
    11·1 answer
  • Please help me!! Just 13-18
    9·1 answer
  • PLEASE CAN SOMEONE find the value of the trigonmetric ratio
    14·1 answer
  • Often in statistics research, a population is too large to collect data on. A sampling distribution of a statistic is created by
    15·1 answer
  • Amber received a raise, and her hourly wage increased from $8 to $10.00. What is the percent increase?
    7·1 answer
  • HELP PLEASE ITS URGENT!!
    11·2 answers
  • How many terms of the arithmetic sequence {1,22,43,64,85,…} will give a sum of 2332? Show all steps including the formulas used
    6·1 answer
  • 8ab -16c - a^2<br><br> A=3<br> B=4<br> C=5
    10·1 answer
  • the sum of 16 numbers is 240.The average of 6 of those numbers is 10. the average of the remaining numbers is
    5·1 answer
  • Solve for x if AB = 5x and BC = 3x + 24.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!