Question

The data set below shows the number of alooholic drinks that students at a certain university reported thay had consumed in the past month. Complote parts a through c. (1ype wa miejes or at vecarial.) The sample variance, s 2 , is (Round is two decimal places as needed.) The sample standard deviation, s, is (Round to two decimal places as needed.) The interquartike range for the data set is (Typa an integer or a decimal.) b. Assume the data sot is a population. Cakelate the range, variance, standard deviation, and interquartle range for the data sot. The range is (Type an integer or a decimal.) The populetion variance, σ 2 , is (Round to two decimal places as needed.) The populasion standard deviatien, 0 , is (Round to two decimal places as needed) The inderquartile ranga is (Type an integer or a decimal.) The sample standard deviatien is always larger than the population standard deviation: True or False True False

Answer 1

a. Sample Variance (s^2): Calculated value needed.

Sample Standard Deviation (s): Calculated value needed.

Interquartile Range: Calculated value needed.

b. Range: Calculated value needed.

Population Variance (σ^2): Calculated value needed.

Population Standard Deviation (σ): Calculated value needed.

Interquartile Range: Calculated value needed.

c. False

Step-by-step explanation:

To calculate the sample variance, sample standard deviation, and interquartile range, specific formulas are required, and the given dataset of alcohol consumption by university students would need to be processed statistically to derive these values. Without the actual dataset provided, it is not possible to calculate these statistics.

In the absence of the dataset, calculating the range, population variance, population standard deviation, and interquartile range cannot be accurately determined. Range is calculated by finding the difference between the maximum and minimum values in the dataset. Population variance and standard deviation use formulas based on the entire population rather than a sample.

Regarding the statement comparing sample standard deviation to population standard deviation, the assertion that the sample standard deviation is always larger than the population standard deviation is false. The sample standard deviation is an estimate derived from a sample and tends to fluctuate more than the population standard deviation, which is calculated from the entire population.

Statistically, the sample standard deviation is typically larger or equal to the population standard deviation for small sample sizes but approaches the population standard deviation as the sample size increases.