Question

The following 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) to

​(c).

Student	PulsePulse
Perpectual Bempah	80
Megan Brooks	63
Jeff Honeycutt	79
Clarice Jefferson	67
Crystal Kurtenbach	82
Janette Lantka	85
Kevin McCarthy	65
Tammy Ohm	73
Kathy Wojdya	88

​(a) Determine the population mean pulse.

The population mean pulse is approximately

nothing

beats per minute.

​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

​(b) Determine the sample mean pulse of the following two simple random samples of size 3.size 3.

Sample​ 1: StartSet Kevin comma Perpectual comma Kathy EndSet{Kevin, Perpectual, Kathy}

Sample​ 2: StartSet Megan comma Jeff comma Perpectual EndSet{Megan, Jeff, Perpectual}

The mean pulse of sample 1 is approximately

nothing

beats per minute.

​(Round to the nearest tenth as​ needed.)

The mean pulse of sample​ 2, is approximately

nothing

beats per minute.

​(Round to the nearest tenth as​ needed.)

​(c) Determine if the means of samples 1 and 2​ overestimate, underestimate, or are equal to the population mean.

The mean pulse rate of sample 1

▼

underestimates

overestimates

is equal to

the population mean.The mean pulse rate of sample 2

▼

underestimates

overestimates

is equal to

the population mean.

Answer 1

(A) Population mean = (sum of all data values)/(total number of data values)

= (80+63+79+ 67+82+85+65+73+88)/9

= 682/9

= 75.8

(B) mean of sample 1 = (sum of all three data values)/(3)

= (65+80+88)/3

= 233/3

= 77.7

and

mean of sample 2 = (sum of all three data values)/(3)

= (80+63+79)/3

= 222/3

= 74.0

(C) it is clear that the 77.7 is greater than 75.8, i.e. sample mean 1 is greater than population mean

and

it is clear that the 74.0 is less than 75.8, i.e. sample mean 2 is less than population mean

The mean pulse rate of sample 1

▼

overestimates the population mean.

The mean pulse rate of sample 2

▼

underestimates the population mean.