Answer Happy

QUESTIONS ANSWERS 1 1. Given are the capital shares and existing loan balances of 12 randomly 1. Shared Capital chosen member accounts of a certain cooperative. Shared Capital: 7500, 12800, 9650, 13000, 25000, 15000, 15500, 17250, 18600, 21050, 16750, 17800, 15000, 22100, 10210 Loan Balance: 8788, 9250, 12745, 12334, 15243, 6780, 12740, 15210, 8750, 9936, 15025, 16750, 8898, 16240, 15224 Loan Balance Find a good estimate of the mean, variance, and standard deviation for the shared capital and for the loan balances of the cooperative members. (10 points) 2. Below is the number of households subscribed in TITAN Telecoms in 5 2. barangays of San Carlos. (5 points) Zone 1 Zone 2 Zone 3 Zone 4 Zone 5 Barangay Total Household Household subscribed 288 315 474 302 511 142 186 203 215 304

3. The quality control officer of Paumbong Food Industry, in milliliters 3a. (mL)randomly select 16 identical bottles of Sukang Paumbong and measures their contents in ML. The measurements are as follows: 350, 357, 352, 360, 348, 355, 349, 363, 361, 355, 352, 357, 355, 350, 356 and 346. Assuming the contents is normally distributed, determine the following: a. The 95% CI for the mean contents of all the bottles of Sukang Paumbong. (5 points) 3b. b. The length of the 95% CI Interval for the mean contents of all the bottles of Sukang Paumbong. (3 points)

4. A group of consumers conducted a research entitled, “Expenditures of 4a. Households in Class C Municipalities". The group asked 360 randomly selected households and found out that the average grocery expenses per week is Php 3,755.00 with a standard deviation Php 1,112.00. Assuming a normal distribution. a. Construct a 99% CI for the average grocery expenses per week of all households. (5 points) 4b. b. How large a sample is needed so that we can be 98% confident that true average grocery expenses per week of all households will not be off by Php 100.00. (4 points) 5. A study aims to determine the incidence of malnutrition among grade 1 5a. students in Cavite. Of the 10 randomly selected elementary schools in Cavite, 240 out of the 3660 grade-1 students are underweight. a. Find the 96% CI on the true proportion of all underweight grade-1 students in Cavite.(5 points) b. What is the length of the interval? (3 points) 5b.