STA644 - Non-Parametric Statistics

Total Marks 5 Starting Date Friday, June 12, 2020 Closing Date Thursday, June 18, 2020 Status Open Question Title GDB no.1 Question Description A researcher has conducted a research on disliking of a product. Suppose a sample of size 250 revealed that 180 respondents disliked the product. Construct a 98% confidence interval for population proportion.

Course Title Non Parametric ststistics Course Code STA644 Activity Assignment # 2 Submission Deadline Date: Sunday, Feb 02, 2020 Time: 23:59 Hours (Midnight) Instructions to attempt assignment: • You can use/make a single table for all necessary computations. • Use calculator for calculations. • Write the complete formulas and all steps, wherever necessary. • For writing symbols, use MathType software. If you already did not download it, get it from here. • Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation. Question # 1: The following data represent the operating times in hour for three types of scientific pocket calculators before a recharge is required: Calculator Operating times ( in hours ) A 4.9, 6.1, 4.3, 4.6, 5.3 B 5.5, 5.4, 6.2, 5.8, 5.5, 5.2, 4.8 C 6.4, 6.8, 5.6, 6.5, 6.3, 6.6 Use the Kruskal-Wallis test, at 0.01 level of significance, to test the Hypothesis that the operating times for all calculators are equal. Question # 2 : The following table provides data about the percentage of students who have free university meals and their CGPA scores. Calculate the Spearman’s Rank Correlation between the two and interpret the result. State University % of Students having free meals % of Students scoring above 3.5 CGPA Pune 14.4 54 Chennai 7.2 64 Delhi 27.5 44 Kanpur 33.8 32 Ahmedabad 38 37 Indore 15.9 68 Guwahati 4.9 62

Course Title Non Parametric Statistics Course Code STA644 Activity Assignment # 1 Submission Deadline Date: Wednesday, Nov 27, 2019 Time: 23:59 Hours (Midnight) Instructions to attempt assignment: • You can use/make a single table for all necessary computations. • Use calculator for calculations. • Write the complete formulas and all steps, wherever necessary. • For writing symbols, use Math Type software. If you already did not download it, get it from here. • Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation. STA644(Non Parametric Statistics) Assignment # 1 Researchers have conducted a survey of 1600 coffee drinkers asking how much coffee they drink in order to confirm previous studies. Previous studies have indicated that 72% of Americans drink coffee. The results of previous studies (Table #1) and the survey (Table #2) are below. At α = 0.05, is there enough evidence to conclude that the distributions are the same? Table # 1 Response % of Coffee Drinkers (E) 2 cups per week 15% 1 cup per week 13% 1 cup per day 27% 2+ cups per day 45% Table # 2 Response Frequency (O) 2 cups per week 206 1 cup per week 193 1 cup per day 462 2+ cups per day 732 Hint: For E column in Table#1: E = 0.15 × 1600 = 240 –The End –

Total Marks 10 Starting Date Wednesday, July 31, 2019 Closing Date Tuesday, August 06, 2019 Status Open Question Title Non-Parametric Test Question Description Dear Students, Question Part a): Enlist the tests which are used to check the normality of data. Part b): Why we use Spearman’s rank correlation test also write down its assumptions? Note: Don’t Paste the answer in MDB. This GDB is graded and marks will be awarded on its performance. Also it is strictly informed that the answer will not be received through emails. Note: Answer should be relevant. Irrelevant and unnecessary lengthy materials will not be considered.