A soccer player\'s performance in high school and college is represented by the

Question

A soccer player's performance in high school and college is represented by the total number of goals scored over their best season. Because there are differences in number of games, quality of team play etc, the two measurements have been converted from total goals scored to z scores which appear below. What do these two scores tell you about this player at high school and college and about any changes in their play? High school goals: z = -.75 College goals: z = 40 In a particular group of adults, the average heart rate is 74 beats/min, with a standard deviation of 5.5 beats. For this problem we will assume that heart rate is normally distributed. For each of the questions below find the appropriate z score(s) and then use the z table to determine the percentage or probability that is asked for. a) What % of this group of adult would have a heart rate of 65 beats/minute or slower? b) What % would have heart rates 68 beats/minute or more? c) What is the probability that someone would have a heart rate that fell between 70 and 80| beats/min.? d) What % of this group would have heart rates falling between 78 and 84 beats/min. Making use of the rules of probability, determine the following assuming that in a bag there are 75 marbles. Among those marbles 29 are yellow, 15 are black, 25 are blue and 6 are red: a) What is the probability of reaching in and pulling out a yellow marble? b) What is the probability of selecting either a yellow or black marble? c) If someone were to reach into the bag twice (with replacement of the first marble after the first draw) what would be the probability of getting a black marble both times? For a particular population that has a mean of 45.5 and a standard deviation of 7, what is the probability that a sample of 30 will have a mean: a) equal to or less than 42.0 b) equal to or less than 48.0 c) equal to or more than 40.5

Explanation / Answer

1) P(Z < -0.75) = 0.2266

2) P(Z < 0.4) = 0.6554

In high school, he was better at scoring than 22.66% andin college, he s better at scoring than 65.54% students.

So, it can be said that the player improved in his game a lot in college.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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