Discuss the importance of the interquartile range. Write a confidence interval with a T-test. Test the null hypothesis using the appropriate test statistic (T- test) and find the p-value.

Assignment Question

Research Project Topic [5] Research method – clear, reasonable & makes sense [4] 50 data items [5] 5+ classes [5] Null/Research Hypothesis [8] Frequency Distribution. [8] Mean (grouped data) [7] Quartiles (ungrouped data) [5] Variance/Standard deviation [7] Histogram – Axes and Quartiles labeled [7] Box Plot – Quartiles labeled [7] Confidence interval with margin of error[8] Test null hypothesis – T-test, p-value [8] Bell curve sketch with Rejection Region [5] Write the conclusion(s) [8] Correct formal English [3] Messy [- 10] Not consistent [-5] “Bald numbers” [-5] Topic to be analyzed [5] [The points in this paper are approximate and may be changed slightly.] • The research methods – clearly stated in paragraph form (3rd person) [4] • At least 50 data items grouped into classes [5] • The range of the data (not including outliers) must be at least 15, so it can be grouped in to 5 classes. Best if the bulk of the data falls into either the middle or the third class. Discuss outliers. [5] • Null Hypothesis: Along the research hypothesis, write a null hypothesis along with the level of testing that you will be using. Propose an alternate hypothesis [8] • Organize data in a frequency distribution. Find relative frequency. Show data, tally, class width. [8] • Find measure(s) of central tendency. Calculate the mean using only grouped data x x f x = ∑ ( ) [7] • Calculate the quartiles: Q1, Q2 (median) and Q3 using ungrouped data [5] • Calculate measure(s) of dispersion (variance & standard deviation) using only grouped data methods. Show a table with data is plugged in. Include formula. [7] • Draw a histogram that describes your data: histogram. Label axes clearly. Label the mean and median, Q1 and Q3 clearly on the histogram. Discussed whether it is skewed to the right or left or bell shaped [7] • Draw a box plot that describes the data. Label the x-axis, Q1, Q2 and Q3 on the graph. Discuss the importance of the interquartile range. [7] • Write a confidence interval with a T-test [8] • Test the null hypothesis using the appropriate test statistic (T- test) and find the p-value [8] • Show a bell curve for the confidence interval of your data [5] • Write a comparison and two-part conclusion for the hypothesis testing [8] • The report must be neatly written in correct English, no slang, and in the third person. [3] This report need not be very long. Often it is just two pages. That is your choice. It may be handwritten in pencil if your handwriting is clear and neat.

Some ideas for types of topics: • class students spend _____ dollars each month; make _____ phone calls per week, brought ___ sweaters to class (or pairs of shoes, black skirts etc), , take __ #minutes in the shower, have ___ first cousins; gone to ____weddings over the past year