Social Statistics Assignment for Social Anthropology Students Do it in three Students!                                         Submission date: February 01/2022                                          GROUP ASSIGNMENT  (15% or 20%) In a 2-week study of the productivity of workers, the following data were obtained on the total number of acceptable pieces which 100 workers produced(5pts) 65 36 49 84 79 56 28 43 67 36 43 78 37 40 68 72 55 62 22 82 88 50 60 56 57 46 39 57 73 65 59 48 76 74 70 51 40 75 56 45 35 62 52 63 32 80 64 53 74 34 76 60 48 55 51 54 45 44 35 51 21 35 61 45 33 61 77 60 85 68 45 53 34 67 42 69 52 68 52 47 63 65 55 61 73 50 53 59 41 54 41 74 82 58 26 35 47 50 38 70 Construct a grouped frequency distribution Construct a histogram, frequency polygon, and ogives Determine the value of Mean, Median, Mode, Variance Determine the value of Q2, Q3, D5 D8, P75 and P80 Out of 5 male workers and 7 female workers of a factory, a task force consisting of 5 workers is to be formed

Social Statistics Assignment for Social Anthropology Students

Do it in three Students!

                                        Submission date: February 01/2022    

                                     GROUP ASSIGNMENT  (15% or 20%)

1. In a 2-week study of the productivity of workers, the following data were obtained on the total number of acceptable pieces which 100 workers produced(5pts)

1. Construct a grouped frequency distribution
2. Construct a histogram, frequency polygon, and ogives
3. Determine the value of Mean, Median, Mode, Variance
4. Determine the value of Q_2, Q₃, D₅ D₈, P75 and P80

2. Out of 5 male workers and 7 female workers of a factory, a task force consisting of 5 workers is to be formed. What is the probability that the task force will consist of?(3pts)

1. 2 male and 3 female workers?
2. all female workers?
3. at least 3 male workers

3. The probability that an item picked at random from the assembly line in a factory will be defective is 0.02. If a sample of 4 is to be selected, then find the probability that (4pts)

1. One will be defective
2. At most one will be defective
3. At least one will be defective.
4. Calculate the mean and standard deviation for the distribution.

4. Assuming that the daily wages for workers in a particular industry averages Birr 11.90 per day and the standard deviation is Birr 0.40. If the wages are assumed to be normally distributed, determine what percentage of workers receive wages(3pts)

1. between Birr 12.20 and Birr 13.10
2. less than Birr 11.00
3. more than Birr 12.9

5. In a study of consumer confidence among middle-class families, 450 were interviewed in the metropolitan area of the country. When asked about having to cut back on discretionary purchases of big-ticket items, 180 of 450 responded that their families had done so over the previous 6 months.  (2pts)

1. What is the 90% confidence interval estimate of the population proportion p of this type of household cutting back on discretionary spending?
2. What sample size would you recommend to achieve a slandered error of 0.03?

6. In one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of100 voters are surveyed from each state. What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state? (3pts)