A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then:

Complete question :

A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then select all that apply:

Sample IQR will change

Range, IQR, and standard deviation will remain the same

Sample range will change.

Sample standard deviation will change

Sample range will change

Sample Standard deviation will change

Step-by-step explanation:

Given the sorted sample : 0,0,3, 4,5,8,10, 18

n = number of observations

Sample range : ( 18 - 0) = 10

Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term

Q3 = 27/4 = 6.75th term

(8 + 10) / 2 = 18/ 2 = 9

Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term

2.25th term = 0+3 = 3/2 = 1.5

Interquartile range = 9 - 1.5 = 7.5

Standard deviation = 5.976 (using calculator)

If 18 is replaced by 20:

0,0,3, 4,5,8,10, 20

Range = (20 - 0). = 20

Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term

Q3 = 27/4 = 6.75th term

(8 + 10) / 2 = 18/ 2 = 9

Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term

2.25th term = 0+3 = 3/2 = 1.5

Interquartile range = 9 - 1.5 = 7.5

Standard deviation = 6.563 (using calculator)

5

step-by-step explanation:

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