Q 105. - The Practice of Statistics for AP

Question

Here are the scores on the Survey of Study Habits and Attitudes (SSHA) for 18 first-year college women: 

and for 20 first-year college men: 

Do these data support the belief that women have better study habits and attitudes toward learning than men? (Note that high scores indicate good study habits and attitudes toward learning.) Follow the four-step process. 

Step-by-Step Solution

Answer

The provided data support that Women have better study attitudes and habits toward learning then male.

Step 1: Given information

For $18$ first-year college women, the results of the Survey of Study Habits and Attitudes (SSHA) are as follows: 

154	109	137	115	152	140	154	178	101
103	126	126	137	165	165	129	200	148

For $20$ first-year college men, the scores are: 

108	140	114	91	180	115	126
92	169	146	109	132	75	88
113	151	70	115	187	104

Step 2: Concept

Data analysis is the systematic application of statistical and/or logical tools to explain and show, condense and recap, and appraise data.

Step 3: Calculation

Make boxplots for both data sets. An $X$ is used to represent outliers. The boxplot's whiskers are at their smallest and largest values. The box has a vertical line at the median and starts at the first quartile and finishes at the third quartile. The first quartile accounts for $25\%$ of the sorted data list, the median for $50\%$, and the third quartile for $75\%$. The upper boxplot contains college women, whereas the bottom boxplot has college men. 

Because the median for women is substantially higher than the median for men, the idea that women have superior study habits and attitudes toward learning than males is validated. The provided data support that Women have better study attitudes and habits toward learning then male.