Question

University professors are always interested in whether students are actually meeting the learning objective in a course. One of the learning objectives for this statistics class is that students will gain skills in statistical literacy. In other words, students should develop the ability to better understand the statistics that they read or hear about in the news. After teaching the course for several years, Dr. Gentzler wonders, “Are students meeting this learning objective? Do students who have taken SSI217 have greater statistical literacy than the entire student body?”. To find out, she develops a “statistical literacy scale” which runs from 0-20 with higher scores indicating greater statistical literacy. She administers a survey to the entire student body and a random sample of 100 former SSI217 students. Here are the results: The student body averaged 17 .3 on the statistical literacy scale. The population variance was never calculated. The SSI217 student sample averaged 19.4 on the statistical literacy scale, with a standard deviation of 5.2 points. Run the appropriate one-sample hypothesis test (with alpha = .05) to answer Dr. Gentzler’s research question.

Your work shown must include i. verifying that the assumptions are met.

ii. listing the null hypothesis and the research hypothesis.

iii. computing the appropriate test statistic.

iv. identifying the degrees of freedom (if necessary) and p-value v. writing a complete interpretation of the test and results.

show all work no outside sources

Answer 1

i) Assumption -

Random selection of sample ( satisfied )

Scale from 0 to 20 ( satisfied )

Normality assumption ( satisfied )

II) H0 : students not gained skills in statistical literacy.

H1 : students gained skills in statistical literacy.

III) Test Statistics = 4.038

IV) p value = 0.0001

V) Interpretation- Students gained skills in statistical literacy. PL?☺️