The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 16 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 200 flights per hour. 207 204 175 193 208 187 213 220 176 213
204 206 224 216 186 184 216 204 209 186
215 204 216 224 184 197 176 181 197 175

Required:
Set up a right-tailed decision rule at α = 0.025 to decide whether there has been a significant increase in the mean number of arrivals per hour.

that there is no significant evidence that there is an increase in mean number of arrivals per hour

Step-by-step explanation:

The hypothesis :

H0 : μ = 195

H1 : μ > 195

We obtain the test statistic :

(xbar - μ) ÷ (σ/√(n))

xbar = 200 ; n = 30 ; σ = 16

Test statistic :

(200 - 195) ÷ (16/√(30))

5 ÷ 2.9211869

= 1.712

Using the Pvalue calculator :

Pvalue from Test statistic = 0.043

At α = 0.025

Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,