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Math

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PROBLEM

The heart rate of runners during a long distance race is approximately normal. The table below shows the heart rates of a random sample of 9 such runners. Find the point estimate.
116122106132126149109145134\begin{array}{lllllllll} 116 & 122 & 106 & 132 & 126 & 149 & 109 & 145 & 134 \end{array} \square (round to 1 decimal place)

STEP 1

1. The heart rates provided are from a random sample of 9 runners.
2. The point estimate for the mean heart rate is the sample mean.

STEP 2

1. Sum the heart rates.
2. Calculate the sample mean.
3. Round the sample mean to one decimal place.

STEP 3

List the heart rates:
116,122,106,132,126,149,109,145,134 116, 122, 106, 132, 126, 149, 109, 145, 134

STEP 4

Sum the heart rates:
116+122+106+132+126+149+109+145+134=1,139 116 + 122 + 106 + 132 + 126 + 149 + 109 + 145 + 134 = 1,139

STEP 5

Calculate the sample mean by dividing the sum by the number of data points (9):
1,1399=126.5555 \frac{1,139}{9} = 126.5555\ldots

SOLUTION

Round the sample mean to one decimal place:
126.6 126.6 The point estimate for the mean heart rate is:
126.6 \boxed{126.6}

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