a. What kind of statistical test is this? b. Is the overall test statistically significant? How do you know? c. Which of the post hoc group comparisons are statistically significant?
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- A certified technician was timed for the repair of a washing machine on 14 separate occasions.Over the same period a trainee technician was timed for the repair of a similar washing machine.The times in minutes are given belowCertified 340 276 257 334 267 164 222 343 212 175 211 351 209 188Trainee 222 342 180 340 398 232 377 211 319 190 351 243 177 269a. Calculate a 95% confidence interval for the mean time taken to repair the washingmachine by the (i) certified techician and (ii) the trainee technician. b. Test the hypothesis that the difference between the two mean times for bothtechnicians is 15 minutes. Use the 5% level of significance. c. Subsequently, it was learnt that the times for the certified technician were incorreclyrecorded and that each of the values above is 20 minutes too small. What, if any,difference does this make to the results of the test done in part (b)?The data below were collected in a clinical trial to compare a new drug to a placebo for its effectiveness in lowering total serum cholesterol. Generate a 95% confidence interval for the difference in mean total cholesterol levels between treatments. Generate a 95% confidence interval for the proportion of all patients with total cholesterol < 200. New Drug Placebo Total Sample (n=75) (n=75) (n=150) Mean (SD) Total Serum Cholesterol 185.0 (24.5) 204.3 (21.8) 194.7 (23.2) % Patients with Total Cholesterol < 200 78.00% 65.00% 71.50% a. 95% CI ( , )A certified mechanic was timed for the repair of an automobile on 14 separate occasions.Over the same period, a trainee mechanic was timed for the repair of a similar automobile.The times in minutes are given belowCertified 344 276 257 334 267 164 222 343 212 175 211 311 209 188Trainee 222 342 178 234 398 232 377 211 309 190 351 343 177 269a. Calculate a 99% confidence interval for the mean time taken to repair the automobile by the (i) certified mechanic and (ii) the trainee mechanic. b. Test the hypothesis that the two mean times for both mechanics are equal. Use the 5% level of significance. c. Subsequently, it was learned that the times for the trainee were incorrectly recorded and that each of the values above is 30 minutes too small. What, if any, the difference does this make to the results of the test done in part (d)?
- 1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.There has been rapid growth in the land area planted with high yielding, high protein soybeans particularly suited to local climate, many of which are not genetically modified (non-GMO). A survey of 392 soybean farmers found that 72% of them grew non-GMO soybeans. a. Calculate a 95% confidence interval for this proportion, stating your assumptions clearly. b. How much wider or narrower would this confidence interval have been if only 98 soybean farmers had been surveyed? c. How many times wider or narrower would a 90% confidence interval be? d. Four years later a survey of 276 soybean farmers found that 68% of them grew non-GMO soybeans. Can it be said with 99% confidence that the proportion of farmers growing non-GMO soybeans has changedA farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. Of a random sample of 100 blooms,77 yield marketable strawberries. Is this evidence that two thirds or more of all blooms grown with this pest control method end up as marketable strawberries? The 95%large-sample confidence interval for the proportion of blooms that yield marketable strawberries is: A. 0.77± 0.042 B. 0.77±0.082 C. 0.77±0.0034 D. 0.77±0.0017G5
- Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.12 milligrams per (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. 0.074 0.084 0.081 0.278 0.119 0.183 0.124 0.243 0.314 0.107 Construct a 95% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is _____ The upper bound is _____( round to four decimal places as needed)During a flu vaccine shortage in the United States, less than a majority ofpeople were able to receive the vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. b.Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 95 percent confidence interval for the proportion of people who will have received fluvaccine is to be constructed. Using 0.5 as your estimated proportion, what is the smallest sample size that can be used to guarantee that the margin oferror will be less than or equal to 0.02?A manufacturer of cream filled donuts collected data from its automatic filling process. The amount of cream inserted into the donuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t to construct a 99% confidence interval for the true mean amount of cream filling is _______. Question content area bottom Part 1 A. 2.787 B. 1.711 C. 2.797 D. 2.060 E. 1.318
- A social media publicist working for a popular video game developer company wants to study the social media content viewing habits of Youtube platform users. A random sample of 40 users is selected, and each user is instructed to keep a detailed record of all content viewing in a particular month. The results are as follows:• Viewing time per month: ? = 15.3 hours, S = 3.8 hours.• 27 users watch the content published on evening on at least three nights in a month.a. Construct a 90% confidence interval estimate for the mean amount of content watched per month on Youtube.b. Construct a 90% confidence interval estimate for the population proportion who watch the evening content on at least three nights per month.Suppose that the social media publicist wants to take another survey in a different platform. Answer these questions:c. What sample size is required to be 90% confident of estimating the population mean viewing time to within ± 2 hours assuming that the population standard…1. A recent Gallop poll showed that 672 of 1019 adults nationwide think that marijuana should be legalized. a) Find the margin of error that corresponds to a 95% confidence interval. b) Find the 95% confidence interval estimate of the proportion of adults nationwide who think marijuana should be legalized