(b) The average mean protection of COVID-19 disease for vaccine Type A is 80, while the average mean protection for vaccine Type B is 75. The standard deviations are 5 and 3 respectively. A random sample of a group of 15 people in a certain medical study were observed under vaccination for both types of vaccine. Construct a 90% confidence interval for the difference between the mean protection of COVID-19 disease for the two types of vaccine, assuming normal populations with unequal variances.
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- a clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 17 subjects had a mean wake time of 94.4 min and a standard deviation of 41.8 min. Assume that the 17 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective ?A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 21 subjects had a mean wake time of 92.5 min and a standard deviation of 43.5 min. Assume that the 21 sample values appear to be from a normally distributed population and construct a 90% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. O minThe average length of stay of a sample of 20 patients discharged from a general hospital was 7 days with a standard deviation of 2 days. A sample of 22 patients discharged from a chronic disease hospital had an average length of stay of 36 days with a standard deviation of 10 days. Assume that you sampled from normally distributed populations with equal variances. Find the 90% confidence interval for the difference between the average length of hospital stays between these two populations. Use a pooled variance of 54.4. Round the value of your reliability coefficient to three decimal places.A generic drug is being tested to test its efficacy (effectiveness) at reducing blood pressure in patients with hypertension (a.k.a. high blood pressure). 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(answer) min less then σ less than (answer) minA randomized controlled trial is run to evaluate the effectiveness of a new drug for asthma in children. A total of 250 children are randomized to either the new drug or a placebo (125 per group). The mean age of children assigned to the new drug is 12.4 with a standard deviation of 3.6 years. The mean age of children assigned to the placebo is 13.0 with a standard deviation of 4.0 years. Suppose that there are 63 boys assigned to the new drug group and 58 boys assigned to the placebo group. Is there a statistically significant difference in the proportions of boys assigned to the treatments? Run the appropriate test at a 5% level of significance.A random sample of 12 chemists from Washington State shows an average salary of $39,420 with a standard deviation of $1659, while a random sample of 26 chemists from New Mexico has an average salary of $30,215 with a standard deviation of $4116. Is there a significant difference between the two states in chemists' salaries at a=0.02? Find the 98% confidence interval of the difference in the means in Chemist salaries?Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. 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