(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. 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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 Inc
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