QUESTION IMAGE
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 pulse
perpetual bempah 64
megan brooks 85
jeff honeycutt 75
clarice jefferson 90
crystal kurtenbach 73
janette lantka 72
kevin mccarthy 84
tammy ohm 82
kathy wojdya 70
(a) determine the population mean pulse.
the population mean pulse is approximately 77.2 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.
sample 1: {megan, jeff, perpetual}
sample 2: {janette, megan, tammy}
the mean pulse of sample 1 is approximately 74.7 beats per minute.
(round to the nearest tenth as needed.)
the mean pulse of sample 2, is approximately 79.7 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 the population mean.
the mean pulse rate of sample 2 the population mean.
underestimates
is equal to
overestimates
To determine if the mean of sample 2 overestimates, underestimates, or is equal to the population mean, we compare the sample mean (79.7) with the population mean (77.2). Since 79.7 > 77.2, the sample mean is greater than the population mean, so it overestimates.
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overestimates