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- Question 1 [2marks] Sixty students were enrolled in an English literature class. The lecturer asked seven students who usually sit in the back of the classroom if they would like 'A tale of Two Cities' as the next class reading assignment. Three of the seven students replied 'Yes'. Identify the sample of the situation. (a) All the students in the English literature class (b) Seven students sitting in the back of the classroom. (c) Three students that said 'Yes' (d) One student that said 'No'3. The adjoining table of ten 34 96 61 85 49 undom mumibers of two digits each is provided to rhe field investigator. 78 50 02 27 13 ...(* } How should he use this table to make a rardom selection of 5 plots out of 40 ?Solve 3rd part only in 30 min
- When each member of one sample corresponds to a member of the other sample, these two samples are considered as independent samples II dependent samples II paired samples IV matched samples I and II III and IV O II, II and IV O All of the above12. Side effects Even if an experiment is double-blind, the blinding might be compromised if side effects of the treatments differ. For example, suppose researchers at a skin-care company are comparing their new acne treatment against the leading competitor. Fifty subjects are assigned at random to each treatment, and the company's researchers will rate the improvement for each of the 100 subjects. The researchers aren't told which subjects received which treatments, but they know that their new acne treatment causes a slight reddening of the skin. How might this knowledge compromise the blinding? Explain why this is an important consideration in this experiment.13 14 15 16 17 18 19 (a) A botanist at a nursery wants to inspect the health of the plants at the nursery. Which of the following best describes a systematic sample of plants? The botanist takes a list of the plants and selects every 3" plant until 78 plants are selected. The botanist forms groups of 13 plants based on the heights of the plants. Then, he randomly chooses 6 groups and selects all of the plants in these groups. All of the plants that are in one particular room at the nursery are easily accessible. So, the botanist selects the 78 plants in this particular room. (b) The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees? The organizers select the first 60 attendees who register for the conference because these attendees are easily accessible. The organizers take a list of the attendees and select every 6" attendee until 60 attendees are selected. The organizers assign each…
- The information below is from the small population of 5 students. The 10 possible SRSs of size n = 3 are: Sample #1: Abigail(10), Bobby(5), Carlos(10) Sample #2: Abigail(10), Bobby(5), DeAnna(7) Sample #3: Abigail(10), Bobby(5), Emily(9) Sample #4: Abigail(10), Carlos(10), DeAnna(7) Sample #5: Abigail(10), Carlos(10), Emily(9) Sample #6: Abigail(10), DeAnna(7), Emily(9) Sample #7: Bobby(5), Carlos(10), DeAnna(7) Sample #8: Bobby(5), Carlos(10), Emily (9) Sample #9: Bobby(5), DeAnna(7), Emily(9) Sample #10: Carlos(10), DeAnna(7), Emily(9) Name Abigail Bobby Carlos DeAnna Emily Gender Female Male Male Female Female Quiz score 10 5 10 7 9 Calculate the median quiz score for each sample and display the sampling distribution of the sample median on a dotplot. 011 000000-5 5.5 7.5 T 1.5 1.5 7.5 -2 2 6.5 7 7.5 Median quiz scores 8 9 8.5 Median quiz score 8 8.5 Median quiz score ∞∞∞0-9 2.5 3.5 Median quiz scores 2.5 3 3.5 Median quiz scores -80 4104 8.5 9.5 9.5 4.5 4.5 10 8 10 ∞∞∞∞0-5 00000-54.A bank has two different customer lines, A and B. Callers dial a single number with 444. Customer service, callers randomly to one of these two lines It directs. In these lines, there is a difference between the lengths of the customers' conversations after connecting to the operator. It is desired to be determined. Random samples of two lines were selected and the following data were obtained. (?? = the last three digits of your student number. If all the last three digits are zero, choose as a three-digit number) A LİNE B LİNESample Size ?1 = 200 ?2=176Sample Average (seconds) 216 195Sample Standard Deviation 35.10 37.80 a.Using the sample statistics, estimate the difference of the two mainstreams within the 95% confidence interval.b.Hypothesis…Suppose we have a set of 37 lightbulbs, and we wish to select a random sample of 5 distinct bulbs from this set. How many possible such samples exist? There are possible samples of this size.
- Consider random samples of size 44 drawn from population A with proportion 0.32 and random samples of size 30 drawn from population B with proportion 0.25.How many different samples of size 3 (without replacement) can be taken from a finite population of size 10? 30 1,000 720 120QUESTION 2. A batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to customer requirements. (a) How many different samples are possible? (b) How many samples of five contai exactly one nonconforming chip? (c) How many samples of five contain at least one nonconforming chip?
