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 he 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 10 days. He finds that Route A takes an average of 49 minutes, with standard deviation 2 minutes, and Route B takes an average of 50 minutes, with standard deviation 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. (alpha =0.05)
Find a 95% confidence interval for the difference between the Route B and Route A commuting times.

The 95% confidence interval for the difference between the Route B and Route A commuting times is -3.771808 to 1.771808

Step-by-step explanation:

Here we have the confidence interval is given by the following equation;

= 49 Minutes

σ₁ = 2 Minutes

= 50 Minutes

σ₂ = 4 Minutes

n₁ = n₂ = 10 days

α = 0.05

At 95%, from the z score table , z = 1.959964 ≈ ± 1.96

Plugging in the values Solving we get

Δμ Min = -3.771808 and Δμ Max = 1.771808.

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.