SOLUTION: For any data set of n values with standard deviation s, every value must be within of the mean. In a class of 19 students, the heights of the students have a mean of 66.6 inches an

Question 976820: For any data set of n values with standard deviation s, every value must be within of the mean. In a class of 19 students, the heights of the students have a mean of 66.6 inches and a standard deviation of 3.0 inches. The tallest student in class, a hopeful member of the basketball team, claims to be
78.6 inches tall. Could he be telling the truth?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
P( X < 78.6 ) is determined by calculating the z-score
z-score = (78.6 - 66.6) / 3 = 4, therefore
P( X < 78.6 ) = 1.00 or 100%
now
P( X > or = 78.6 ) = 1.00 - P( X < 78.6 )
P( X > or = 78.6 ) = 1.00 - 1.00 = 0
The student is not telling the truth
RELATED QUESTIONS
Use Chebyshev�s theorem to find what percent of the values will fall between 226 and 340... (answered by ewatrrr)

Can someone please help me with this? For the following set of data: 13, 10, 11, 8, 14, (answered by ewatrrr)

Use Chebyshev�s theorem to find what percent of the values will fall between 175 and 241... (answered by oscargut)

I. Use Chebyshev�s theorem to find what percent of the values will fall between 249 (answered by stanbon)

Ok, These 6 problems I apparently did wrong on my test... Can someone do them and explain (answered by stanbon)

Use Chebyshev�s theorem to find what percent of the values will fall between 10 and 26... (answered by stanbon)

Use Chebyshev�s theorem to find what percent of the values will fall between 59 and 107... (answered by stanbon)

Here is the 3/3 question i need hlep on. Provide an appropirate responce. A)... (answered by stanbon)

Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers... (answered by Boreal)