Questions: 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 s^2. d. The symbol for population variance is σ^2. If sample data consist of weights measured in grams, then correctly complete the following sentences. a. The unit for sample standard deviation would be grams b. The unit for population standard deviation would be grams c. The unit for sample variance would be grams^2 d. The unit for population variance would be grams^2

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 s^2.
d. The symbol for population variance is σ^2.

If sample data consist of weights measured in grams, then correctly complete the following sentences.
a. The unit for sample standard deviation would be grams
b. The unit for population standard deviation would be grams
c. The unit for sample variance would be grams^2
d. The unit for population variance would be grams^2
Transcript text: 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 $\sigma$. c. The symbol for sample variance is $\mathrm{s}^{2}$. d. The symbol for population variance is $\sigma^{2}$. If sample data consist of weights measured in grams, then correctly complete the following sentences. a. The unit for sample standard deviation would be $\square$ b. The unit for population standard deviation would be $\square$ c. The unit for sample variance would be $\square$ d. The unit for population variance would be
failed

Solution

failed
failed

Solution Steps

Step 1: Identify Symbols

Sample standard deviation is commonly denoted as s or \(\sigma_n\). Population standard deviation is denoted as \(\sigma\). Sample variance is denoted as s^2 or \(\sigma_n^2\). Population variance is denoted as \(\sigma^2\).

Step 2: Determine Units

The units of both types of standard deviations (sample and population) are the same as the units of the data, which in this case is grams. The units of both types of variances (sample and population) are the square of the data's units, which in this case is grams^2.

Final Answer:

The symbols and units for the statistical measures given the data type (grams) are as follows:

  • Sample standard deviation: Symbol - s or \(\sigma_n\), Unit - grams.
  • Population standard deviation: Symbol - \(\sigma\), Unit - grams.
  • Sample variance: Symbol - s^2 or \(\sigma_n^2\), Unit - grams^2.
  • Population variance: Symbol - \(\sigma^2\), Unit - grams^2.
Was this solution helpful?
failed
Unhelpful
failed
Helpful