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- A study contained four treatment conditions with n 5 participants in each group. What is the value of k for this study?3. It has been found in the past that 4 per cent of the screws produced in a certain factory are defective. A sample of ten is drawn randomly from each hour's production and the number of defectives is noted. In what fraction of these hourly samples would there be at least two defectives? What doubts would you have if a particular sample con- at tained six defectives?Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks 2.9 2.5 3 5 4.2 3.1 3.3 4 6. 5.3 3.8 4.5 Used passenger cars 3 2.2 2.8 4.3 4 3.3 2.9 2.1 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 types of vehicles.
- 7. In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space S for the number of possible orders at the conclusion of the contest for (a) all 8 finalists; (b) the first 3 positions.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.4- Show that for a sample of n=39, the smallest and the largest Z values are (-1.69) and (1.69), and the middle (the 20th) Z value is 0.00
- 7. A population has = 60 and = 10. Find the z-score corresponding to each of the following sample means: a. A sample of n = 4 with M = 55. b. A sample of n = 25 with M = 64 c. A sample of n = 100 with M = 62a) What proportion of 20% of defective items should a supervisor in the quality system of a plastic products company accept when they ask him to evaluate a routine inspection procedure for orders of 100 identical articles, knowing that the procedure consists of taking a sample of 10 items and the one to accept the order if no more than 2 defective items are found? b) How many defective items are expected to appear in the sample?III. In a sample of 20 kaing of mangoes, each containing 50 mangoes, the vendor found that 5, 8, 12, 3, 0, 6, 11, 7, 5, 4, 2, 9, 4, 2, 7, 9, 3, 6, 5, and 2 mangoes respectively are rotten.
- 1. A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. A simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium or not. The researcher found that 40 alga were, in fact, cyanobacteria. (enter your answer in 3 decimal places) (a) What is the sample proportion of the algae that were cyanobacteria? (b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria?(c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria?(d) What is 95% CI? , watts16. A certain stimulus administered to each of 12 patients resulted in the following changes in blood pressure : 5, 2, 8, -1, 3, 0, 2, 1, 5, 0, 4, 6. Can it be concluded that the stimulus will in general be accompanied by an increase in blood pressure ?I. There are 8 different fruity flavors in Brach's Sweet and Sour Variety Mix. The manufacturer says that a package contains about 280 pieces. You bought a bag to give out for Halloween. a) Your favorite flavor is LemonHead – how many LemonHead pieces do you expect to find in this bag? b) If it turns out that there 40 LemonHeads in the bag do you think the difference between what occurred and what you would expect by chance is statistically significant? Explain. c) If it turns out that there are 70 LemonHeads in the bag do you the difference between what occurred and what you would expect by chance is statistically significant? Explain.
