Statistics and Data Management in Home Science Research — DU B.Sc. (Prog.) Home Science Previous Year Question Papers

Statistical tables will be provided by the examination centre. 1. (A) Identify the appropriate statistical test and justify your choice for the situations given below. Write the Null and alternate hypothesis. (Any three) : 3×4=12 (i) A nutritionist wants to determine whether the average dialy protein intake of college girls differs from the recommended value of 50 grams per day. A sample of 40 college girls is selected, and their mean protein intake is calculated. (ii) Relationship between time spent on household chores and perceived stress levels among 250 working women. (iii) Selective preference of households (n = 250) for different types of cooking oils (mustard, sunflower, coconut, olive, others). (iv) A fashion designer wants to assess whether a newly designed ergonomic garment improves comfort levels. The same group of 30 participants rates their comfort on a standardized scale while wearing a regular garment and again after wearing the newly designed garment. (Null Hypothesis) (Alternative Hypothesis) (B) Briefly explain the following (Any two) : 2x3=6 (i) Central limit theorem (i) Assumptions associated with non-parametric test (iii) Scales of measurement. 2. (A) From the distribution of home science test scores given below, find : 14 (ii) Percentile rank of the score 79. Apparent Class Interval Frequency (F) the ar Fire (B) The mean score of a class is 40 and the standard deviation is 5. Each student is given 5 extra marks. Find the new mean and standard deviation. 4 3. (A) A study states that the average blood pressure of adults is 120 mmHg; a sample of 80 adults from a community shows a mean blood pressure of 125 mmHg with a standard deviation of 15 mmHg. Test whether the sample mean differs significantly from the population mean at the 5% level of significance. 12 mmHg 5% (level of significance) (B) While analyzing time spent on social media, a few respondents report very high usage compared to others. Which measures would you prefer for central tendency and dispersion ? Give reasons. 6 4. (A) A researcher wishes to determine whether the attitudes of urban and rural residents toward banning plastic bags differ significantly. Apply a suitable test at the 0.05 level of significance and draw a final conclusion. 14 Support Neutral Oppose (B) Suppose X represents aptitude test scores with mean 80 and standard deviation 10, while Y represents the final exam scores with mean 400 and standard deviation 60; if the correlation coefficient is 0.6, predict the expected exam score of a student whose aptitude score is 90 using the regression equation. 4 5. (A) The theory and practical marks for 10 students are given below. Comment on the association and statistical significance : 12 (B) Anita and Neha are arguing about who performed better on their final exams. Anita scored 90 on her statistics exam (mean = 75, standard deviation = 10), while Neha scored 85 on her economics exam (mean =