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- There are about 11,000 births in the United States each day, and the proportion of boys is .512. If 100 births are randomly selected per day for 100 days, what is the probable mean of the sample proportion? b.) Name a provision for the Central Limit Theorem and the Sampling Distribution x-bar to be an accurate approximation for the population. c.) Name an alternative provision for the Central Limit Theorem and the Sampling Distribution x-bar to be an accurate approximation for the population.Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9.Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 9.Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median Probability ▼ 4 3 2 ? ▼ 3 4 6 ? ▼ 4 6 8 ? ▼ 8.5 5.5 11 ? ▼ 6.5 13 10 ? ▼ 13.5 18 9 ? (Type integers or fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. A. The population median…prilame Performance Task: You are apart-time crew at a fast food chain. Suppose you serve a certain number of customers every hour. Assume the number of people you have served in 3 hours and let this be your population (choose three numbers only). Assume that samples of size n = 2 are randomly selected without replacement from the population. Find the population mean u and the mean ug of the sampling distribution of the means. nimets el eiTT olemeieq A A. Population: B. Population Mean: C. Means of Samples Drawn without Replacement from the Population (your choice of numbers) (Show solution) ot ort lo roirW Observation Sample Mean of the Sampling Distribution of the Sample Mean: (Show solution)
- When considering different sampling methods, stratified sampling includes the steps: Select the correct answer below: divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group list the members of the population; use simple random sampling to salect a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected O identify individuals of the population that are easily accessible; obtain data from these individuals use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample FEEDBACK MORE INSTRUCTION INTL V O 9:Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 14 (Round to three decimal places as needed.) b. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. 0 4.5 18 40.5 Probability 1 320 NONS 9 2 9 2 9 (Type integers or simplified fractions.) c. Find the mean of the sampling distribution of the sample variance. (Round to three decimal places as needed.)Erron got a new job in a shoe store at Robinson's Calasiao, Pangasinan. The numbers of pair of shoes he was able to sell for three days are: 2,4,5. 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.
- a) State whether the following is a discrete or continuous random variable. i. Number of seeds in a tomato ii. The number of litres of water used per household iii. The ages of children in a preschool b) Determine the sampling methods used in each of the scenarios below i. Select every 9th candy bar from a production line to check its weight ii. Group t-shirts by colors and select t-shirts at random from within each group in proportion to the number of t-shirts that make up that group. iii. Use random number tables to select 15 students from a class. iv. Select 8 white cars, 5 blue and 3 red cars. v. Name one advantage of the sampling method in ii)Deascribe the sampling distribution of the sample proportion? A )the sampling distribution of the sample proportion for a simple random sample of size n = 167. the proportion with a specified characteristic is p=0.01. Assume that the size of the population is 1,267 B) the sampling distribution of the sample for a simple random sample n=56. the proportion with a specified characteristic is P= 0.55. assue that the size of the population is 10,4551Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population median. 4 (Type an integer or a decimal. Do not round.) b. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median 1 Probability ▼ ▼ ▼ ▼ L ■ (Type integers or simplified fractions.)