sample size of 3 is taken from
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Suppose that a population consists of only 5 members and the values of are as follows.
Member | 1 | 2 | 3 | 4 | 5 |
Y | 5 | 3 | 5 | 2 | 2 |
a) If a sample size of 3 is taken from the population through random sampling, how many ways can we select a sample?
b) Enumerate all possible outcomes of a random sampling of size 3 (in a table). For each outcome, compute for the sample mean ( and sample variance. No need to show solution in this part
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- Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been ? = 9.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day:12 6 11 12 5 0 27 8 7 6 3 12 12 I need help with (b) and the value of the sample test statisticWhen two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinneSuppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.
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- A researcher wishes to select a stratified random sample from a population with 3 strata as follows (with the usual notation): Н Nh Sn Ch 1 300 30 25 500 40 49 3 200 20 36 If the budget is $5000 and the overheads $800, find the allocations for each stratum and estimate the variance of sample meanusing the allocation method. By using proportional allocation, estimate the variance and compare it to the variance from part (1). Determine the total cost from the allocation of part (2). Explain your result. (1) (2) (3)Help me find the sample size of a population of 500 using yamani formularA biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples
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