Question

identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. if sample data consist of weights measured in grams, what units are used for these statistics and parameters? a. the symbol for sample standard deviation is s. b. the symbol for population standard deviation is σ. c. the symbol for sample variance is s². d. the symbol for population variance is σ². if sample data consist of weights measured in grams, a. the unit for sample standard deviation would be g. b. the unit for population standard deviation would be g. c. the unit for sample variance would be g². d. the unit for population variance would be g². complete the following sentences.

Explanation:

Step1: Recall symbols for statistics

In statistics, the symbol for sample standard - deviation is $s$, for population standard - deviation is $\sigma$, for sample variance is $s^{2}$, and for population variance is $\sigma^{2}$.

Step2: Recall units for variance and standard - deviation

The standard deviation is the square - root of the variance. If the data (weights) are measured in grams, the standard deviation has the same unit as the original data, i.e., grams. The variance has the unit of the square of the original data unit. So if the original data is in grams, the variance is in $g^{2}$.

Answer:

a. The symbol for sample standard deviation is $s$.
b. The symbol for population standard deviation is $\sigma$.
c. The symbol for sample variance is $s^{2}$.
d. The symbol for population variance is $\sigma^{2}$.
a. The unit for sample standard deviation would be $g$.
b. The unit for population standard deviation would be $g$.
c. The unit for sample variance would be $g^{2}$.
d. The unit for population variance would be $g^{2}$.