• From the data given below about the treatment of 250 patients suffering f a disease, state whether the new treatment is superior to the conventional treatment: Treatment No. of patients Favourable Not favourable Total New 140 30 170 Conventional 60 20 80 Total 200 50 250 (Given for degree of freedom = 1, chi-square 5 per cent = 3.84.) %3D %3D
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- The defective percentage of bricks produced by a certain process is 20%. A new method isintroduced which is supposed to reduce the defective percentage. 150 bricks produced by thismethod showed 27 of them are defective. Does this data support the above claim at significancelevela = 0.01?Data from a recent year showed that 55% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 135 of the 240 students, it trained that year were accepted. Assume these trainees were representative of the population of applicants. Has the company demonstrated a real improvement over the average? What is the P-value?A study was conducted that measured the total brain volume (TBV) (in ) of patients that had schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009," 2013). Is there enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal? Test at the 10% level. (Show work) Table #9.3.5: Total Brain Volume (in ) of Normal Patients 1663407 1583940 1299470 1535137 1431890 1578698 1453510 1650348 1288971 1366346 1326402 1503005 1474790 1317156 1441045 1463498 1650207 1523045 1441636 1432033 1420416 1480171 1360810 1410213 1574808 1502702 1203344 1319737 1688990 1292641 1512571 1635918 Table #9.3.6: Total Brain Volume (in ) of Schizophrenia Patients 1331777 1487886 1066075 1297327 1499983…
- What is the kurtosis for the distribution of scores with a mean of 9.02 and a mode of 3?In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, herandomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony-forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer to this question with the results of a statistical procedure. Use α = 0.05.In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, herandomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony-forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer to this question with the results of a statistical procedure. Use α = 0.05. Data: May= 66, June= 104, July=105, August= 88
- In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, herandomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony-forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. Part A: Does the mean E. coli contamination differ significantly among the four months? Justify your answer to this question with the result of a statistical test. Use α = 0.05. Part B:Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer to this…An experiment has been conducted to evaluate a new process for producing syntheticdiamonds. A number of diamonds have been generated by the new process with recordedweights of 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat. A study of the process costsindicates that the actual average weight of the diamonds must exceed 0.5 in order that theprocess be operated at a profitable level. a). At 5% level of significance, is there sufficient evidence to conclude that the process isoperating at a profitable level? Your conclusion must be in terms of the P-Value aswell as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explaincarefully. c). What type of error is possible and describe this error in terms of the problemAn experiment has been conducted to evaluate a new process for producing syntheticdiamonds. A number of diamonds have been generated by the new process with recordedweights of 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat. A study of the process costsindicates that the actual average weight of the diamonds must exceed 0.5 in order that theprocess be operated at a profitable level.a). At 5% level of significance, is there sufficient evidence to conclude that the process isoperating at a profitable level? Your conclusion must be in terms of the P-Value aswell as setting up a Rejection Region. You must show all necessary work.b). Which statistical distribution should be applied in this situation and why? Explaincarefully.c). What type of error is possible and describe this error in terms of the problem.d). Based on a 95% confidence level, estimate the actual mean weight of syntheticdiamonds using the new process.e). Carefully interpret this interval estimation.f). Explain carefully whether…
- A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.Assume that anxiety scores as measured by an anxiety assessment inventory arenormally distributed with μ = 20 and σ = 4. A sample of 4 patients who areundergoing treatment for anxiety is randomly selected, and their mean anxiety scoreX = 22. Is the average anxiety score from patients who are under treatmentsignificantly different from 20? Assume a = .10.The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error. The estimated standard error SM= (round to four decimals)
