Answer:
(a)7.185
(b)0.000371
(c) 0.019
(d)Sample variance and Sample standard deviation
Step-by-step explanation:
We are given the following sample data.
7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.
(a) Calculate the sample mean. Round your answer to 3 decimal places.
The formula for sample mean =
Sum of terms/Number of terms
= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8
= 57.48/8
= 7.185
(b) Calculate the sample variance. Round your answer to 6 decimal places.
The formula for sample Variance =
(x - mean)²/n - 1
n = 8
Sample variance = (7.15 - 7.185)² + (7.20-
7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1
= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7
= 0.0026/7
= 0.000371428571
Approximately to 6 decimal places = 0.000371
(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.
The formula for Sample Standard Deviation = √Sample variance
= √0.000371428571
= 0.01927248223
To 3 decimal places = 0.019
(d) Which of the following are potential major sources of variability in the experiment
Sample variance
Sample standard deviation
