1) A successful basketball player has a height of 6 feet 11 inches. Based on sta

Question

1) A successful basketball player has a height of 6 feet 11 inches. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?

2) Consider a value to be significantly low if its z score less than or equal to 2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean score was 21.7 and the standard deviation was 4.8. Identify the scores that are significantly low or significantly high.
a) scores that are less than ___?
b) scores that are greater than ___?
c) scores that are between ___ and ___

Explanation / Answer

1) z score indicates the number of standard deviations above the mean, a partcular value is

So, his height is 5.17 standard deviations above mean

2) a) The scores that are less than 21.7 - 2x4.8 = 12.1

b) The scores that are greater than 21.7+2x4.8 = 31.3

c) The scores are between 12.1 and 31.3

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

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