3) If we do not assumer that the population is bell-shaped, atleast what percent

Question

3) If we do not assumer that the population is bell-shaped, atleast what percentrage of the population would be between the numbers found in part 2?

The following TI-84 Plus display presents some sample statistics. 1-Var-Sta x-68 2x-2291 x2= 182,361 5x=6 6.066300355 n-29 Part 1 of 3 (a) Assume that a histogram of the sample is bell-shaped. Approximately what percentage of the sample values are between 50 and 86? Approximately 95% of the sample values fall between 50 and 86 Part: 1/3 Part 2 of 3 (b) Assume that a histogram for the sample is bell-shaped. Between what two values will approximately 95% of the sample be? Approximately 95% of the sample values will fall between | | and

Explanation / Answer

a)as 50and 86 are 3 standard deviation from mean ; therefore  

approximately 99.7% of sample values fall between 50 and 86

b)

approxiamtely 95% of the sample values will fall betweem 56 and 80.

c)

from Chebyshev 75% values fall within 2 std deviation from mean

;  atleast 75.0% of the population would be between the numbers found in part 2

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