Stat and Prob - sampling distribution ,business math - salaries and wages

Activity: Provide what is asked in the following problems. Please show your tables and graphs. 1. A population consists of the values 1, 3, and 4. List down all the possible sample size 2 that can be drawn from this population. 2. Gillbert got a new job in a shoe store. The number of pairs of shoes he was able to sell for three days are 2, 4, and 5. Assume that samples of size 2 are randomly selected with replacement from this population of three values. a. List down the 9 different possible samples. b. Find the mean of each sample. c. Find the mean of the sampling distribution of means. d. Identify the probability of each sample. e. Find the population mean. f. Compare the population mean with the mean of the sampling distribution of means. 3. Consider the population consisting of the values (1, 2, 8). List all possible samples size 2 which can be drawn without replacement from the population. Find the following: a. Population mean b. Population variance c. Population standard deviation. d. Mean of the samples and the mean of the sampling distribution of mean. e. Variance of the sampling distribution of means. f. Standard deviation of the sampling distribution of means.Activity 1: Solve the following problems involving salaries and wages 1. A worker earns a minimum wage of 481.00. His regular work hours are from 6:00 am to 3:00 pm, with an hour lunch break and his rest day is Monday. Compute his daily gross earnings if his time record shoes the following data. Date Day Time In Time Out 16 Dec Wednesday 6 am 4 pm 17 Dec Thursday 6 am 3 pm 18 Dec Friday 7 am 3 pm 19 Dec Saturday 6 am 3 pm 20 Dec Sunday 6:30 am 4 pm 21 Dec Monday 6 am 3 pm 22 Dec Tuesday 6 am 3 pm 23 Dec Wednesday 6 am 3 pm 24 Dec Thursday (Special Holiday) 6 am 10 am 25 Dec Friday (Legal Holiday) 26 Dec Saturday 6 am 3 pm 27 Dec Sunday 6 am 5 pm 28 Dec Monday (Legal Holiday) 6 am 4 pm 29 Dec Tuesday 6 am 3 pm 30 Dec Wednesday 6 am 3 pm 31 Dec Thursday (Special Holiday) 2. A factory worker is contracted to earn 170.00 for the first 15 pieces each, 175.00 on 16-30 pieces each, and 200 for beyond 31 and beyond pieces each. If he made 34 pieces in total, how much would be his net earnings for this week