Question

The accompanying data represent the pulse rates​ (beats per​ minute) of nine students enrolled in a statistics course. Treat the nine students as a population. Complete parts​ (a) through​ (c)

Student Pulse
Perpectual_Bempah   62
Megan_Brooks 89
Jeff_Honeycutt 88
Clarice_Jefferson 79
Crystal_Kurtenbach   63
Janette_Lantka 88
Kevin_McCarthy 86
Tammy_Ohm 69
Kathy_Wojdya 87

​(a) Compute the population standard deviation.

σ= (BLANK) beats per minute

(b) Determine the sample standard deviation of the following three simple random samples of size 3.

Sample​ 1: {Kathy, Crystal, Perpectual}

s = (BLANK) for sample 1

Sample​ 2: {Kevin, Tammy, Jeff}

s = (BLANK) for sample 2

Sample​ 3: {Megan, Crystal, Clarice}

s = (BLANK) for sample 3

​(c) Which samples underestimate the population standard​ deviation? Which overestimate the population standard​ deviation?

Sample 1 (equals, underestimates or overestimates) the population standard deviation.

Sample 2 (equals, underestimates, or overestimates) the population standard deviation.

Sample 3 (equals, overestimates, or underestimates) the population standard deviation.

Answer 1

a)

from above:

σ= 10.6458

b) Sample​ 1: {Kathy, Crystal, Perpectual}

s =14.1539
Sample​ 2: {Kevin, Tammy, Jeff}

s =10.4403

Sample​ 3: {Megan, Crystal, Clarice}

s=13.1149

c)

Sample 1 overestimates the population standard deviation.

Sample 2 underestimates the population standard deviation.

Sample 3 overestimates the population standard deviation.