As a professional golfer, you decide to experiment with two different golf balls

Question

As a professional golfer, you decide to experiment with two different golf balls, Nike and Callaway. After the experiment, you will make a contract with one of the manufacturers and use their golf ball for the next year. The experiment consists of using the driver and hitting 200 golf balls of cach type and measuring the distance traveled in yards. Your decision of which golf ball to use will be based upon consistency and maximal distance, both of which is valued in the game of golf. The box and whisker plot for each manufacturer is shown below Nike 245 250 255.5 266 280 Callaway 252 2685 287 305 220 240 250 260 270 280 290 300 Yards A) How many Nike golf balls traveled less than 266 yards? QUESTION 14 As a professional golfer, you decide to experiment with two different golf balls, Nike and Callaway. After the experiment, you will make a contract with one of the manufacturers and use their golf ball for the next year. The experiment consists of using the driver and hitting 200 golf balls of each type and measuring the distance traveled in yards. Your decision of which golf ball to use will be ba golf. The box and whisker plot for each manufacturer is shown below sed upon consistency and maximal distance, both of which is valued in the game of Nike 245 250 255.5 266 280 Callaway 225 252 268.5 287 305 220 230 240 250 260 270 280 290 300 Yards B) Find the interquartile range for the Callaway data:

Explanation / Answer

Question 13

Solution:

For Nike golf balls, we are given

First quartile = Q1 = 250

Second quartile = median = Q2 = 255.5

Third quartile = Q3 = 266

We have to find number of Nike golf balls travelled less than 266 yards.

We have

P(X<Q3) = P(X<266) = 0.75

(We know that the probability for less than third quartile is 75%.)

Total number of golf balls = 200

So, number of Nike golf balls travelled less than 266 yards = n*p = 200*0.75 = 150

Required answer = 150

Question 14

Here, we have to find Interquartile range for the Callaway golf balls data.

Interquartile range = Q3 – Q1

From the given data, we have

Q1 = 252

Q2 = 268.5

Q3 = 287

Interquartile range = Q3 – Q1 = 287 – 252 = 35

Required answer = 35

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.