Question

please answer all sections

EQuestion Help 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) Click the icon to view the data on the students' pulse rates. (a) Compute the population standard deviation σ : L beats per minute (Round to one decimal place as needed.) (b) Determine the sample standard deviation of the following three simple randorn samples of size 3 Sample 1: Perpectual, Jeff, Tammy] Sample 2: (Crystal, Kathy, Janette Sample 3 (Clarice, Tammy, Kevin) The sample standard deviation, s, or sample 1, (Perpetual. Jer, Tammy, is Li beats per minute (Round to one decimal place as needed.) The sample standard deviation, s, of sample 2, (Crystal, Kathy, Janette), is beats per minute Round to one decimal place as needed.) The sample standard deviation, s, of sample 3, (Clarice, Tammy, Kevin,,b □ beats per minute. (Round to one decimal place as needed.) Enter your answer in each of the answer boxes. O Type here to search 3 5 6 8 GH 8 ALT

Answer 1

I used excel for this.

Create a spreadsheet like this:

Student Perpectual Megan Jeff Clarice Crystal Janette Kevin 70 73 76 61 79 61 82 83 10 Kathy 12 | Population standard deviation =STDEVP(B2:B10) 13 14 15 16 Perpectual 70 Jeff 76 Sample standard deviation Sample 1 82 -STDEV.S(B16D 16) 18 19 20 21 Crystal 61 Janette 79 Sample 2 83 -STDEV.S(B19-D19) Clarice Kevin 61 Sample 3 82 -STDEV.S(B22-D22)

This will give values:

Student Pulse Perpectual 70 Megan73 Jeff 76 Clarice Crysta61 Janette79 Kevin61 82 83 10 12 13 Population standard deviation7.9 Jeff 76 15 Perpectual Tammy 82 Sample standard deviation 6.0 Sample 170 Janette 79 18 19 20 21 CrystalKathy Sample 261 83 Clarice Kevin 61 Sample 366 82 11.0

(a) The population standard deviation is, $\sigma={\color{Red} 7.9}$ beats per minute.

(b) The sample standard deviation for sample 1 is ${\color{Red} 6.0}$   beats per minute.

The sample standard deviation for sample 2 is ${\color{Red} 11.7}$   beats per minute.

The sample standard deviation for sample 3 is ${\color{Red} 11.0}$   beats per minute.

(c) Sample 1 ${\color{Red} \textup{underestimates }}$ the population standard deviation because, the sample standard deviation for sample 1, which is 6.0 is less than the population standard deviation, which is 7.9.

Sample 2 ${\color{Red} \textup{overestimates }}$ the population standard deviation because, the sample standard deviation for sample 2, which is 11.7 is greater than the population standard deviation, which is 7.9.

Sample 3 ${\color{Red} \textup{overestimates }}$ the population standard deviation because, the sample standard deviation for sample 3, which is 11.0 is greater than the population standard deviation, which is 7.9.