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sergeinik [125]
3 years ago
9

A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each s

tudent 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:
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

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

Answer:

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)

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