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answers to a,b,c,d need e,f,g,h,i answered i put the wrong forst picture 3. A new rocket-launching system is being considered for deployment of small, short-range

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answers to a,b,c,d
need e,f,g,h,i answered
image text in transcribed
i put the wrong forst picture
3. A new rocket-launching system is being considered for deployment of small, short-range rockets. A sample of 44 experimental launches is made with the new system, and 33 are successful (a) Construct a 93% confidence interval for the proportion of successful launches with the new rocket-launching system. Be sure to: State whether you should use z ort and find the appropriate value. Round 2-values to 2 decimals. Round t-values to 3 decimals. Find the confidence interval (to 2 decimals). Show all by-hand work. Write a verbal interpretation of your confidence interval. (For example: We are xx% confident....) If you were to use R to find your confidence interval, what would be the appro- priate code? (b) Suppose the existing rocket-launching system has p = 0.85 as the probability of a successful launch. Would you conclude that the new system is better than the existing system? Why or why not? (c) We made adjustments to the new rocket-launching system, and we need to perform more tests. Due to the adjustments, the original data that we obtained is obsolete. How many launches should we make if we wish to be at least 93% confident that our sample proportion will be within 8.5% (a MOE of 0.085) of the true proportion? Use a Z-score rounded to 2 decimals in your calculations. 10:05 There ane 2 population patved. These me and One not two independent Popubelens loc be of D-03 b) . Since the comple she is small and populatton Standard deviations me UKOLD we use t . Lect df 0-2 13+14-2 -25 IOC be 003 tadt) 12.301 (0) D-015 2. The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections : Medication 1 Medication 2 Ny = 13 m2 = 14 T=13 D = 21 si = 3.5 $= 2.5 We are interested in finding out if there is a difference between the medications. Use a 97% confidence interval. Assume approrimately normal populations with equal variances. To do this, answer the following questions: (a) Does your problem involve 1 population or 2 populations? If you have 2 populations, should they be paired or not? (b) State a (c) State whether you should use z ort. (d) Find / provide the appropriate value (z or t) from the table (or your calculator). Round 2-values to 2 decimals, and round t-values to 3 decimals. (e) Find the confidence interval. It is fine to round intermediate calculations to 3 deci- mals. Round your final values to 3 decimals. Use your sort value from the previous part (not the exact value). Show all by-hand work. (1) What is the parameter your confidence interval is for? (Examples: Hip, etc.) (8) Write an interpretation of your confidence interval in the context of the problem. (For example: We are xx% confident...) (h) Does it appear that one medicine is more effective than the other, or is there ap- proximately the same effectiveness? Explain your reasoning by using the confidence interval you found (i) If you were to use R to find a 97% confidence interval for Medicine 2 - Medicine is what would be the appropriate code (assuming that you were able to obtain the full dataset)? Assume you have imported the data as medi and med2. 3. A new rocket-launching system is being considered for deployment of small, short-range rockets. A sample of 44 experimental launches is made with the new system, and 33 are successful (a) Construct a 93% confidence interval for the proportion of successful launches with the new rocket-launching system. Be sure to: State whether you should use z ort and find the appropriate value. Round 2-values to 2 decimals. Round t-values to 3 decimals. Find the confidence interval (to 2 decimals). Show all by-hand work. Write a verbal interpretation of your confidence interval. (For example: We are xx% confident....) If you were to use R to find your confidence interval, what would be the appro- priate code? (b) Suppose the existing rocket-launching system has p = 0.85 as the probability of a successful launch. Would you conclude that the new system is better than the existing system? Why or why not? (c) We made adjustments to the new rocket-launching system, and we need to perform more tests. Due to the adjustments, the original data that we obtained is obsolete. How many launches should we make if we wish to be at least 93% confident that our sample proportion will be within 8.5% (a MOE of 0.085) of the true proportion? Use a Z-score rounded to 2 decimals in your calculations. 10:05 There ane 2 population patved. These me and One not two independent Popubelens loc be of D-03 b) . Since the comple she is small and populatton Standard deviations me UKOLD we use t . Lect df 0-2 13+14-2 -25 IOC be 003 tadt) 12.301 (0) D-015 2. The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections : Medication 1 Medication 2 Ny = 13 m2 = 14 T=13 D = 21 si = 3.5 $= 2.5 We are interested in finding out if there is a difference between the medications. Use a 97% confidence interval. Assume approrimately normal populations with equal variances. To do this, answer the following questions: (a) Does your problem involve 1 population or 2 populations? If you have 2 populations, should they be paired or not? (b) State a (c) State whether you should use z ort. (d) Find / provide the appropriate value (z or t) from the table (or your calculator). Round 2-values to 2 decimals, and round t-values to 3 decimals. (e) Find the confidence interval. It is fine to round intermediate calculations to 3 deci- mals. Round your final values to 3 decimals. Use your sort value from the previous part (not the exact value). Show all by-hand work. (1) What is the parameter your confidence interval is for? (Examples: Hip, etc.) (8) Write an interpretation of your confidence interval in the context of the problem. (For example: We are xx% confident...) (h) Does it appear that one medicine is more effective than the other, or is there ap- proximately the same effectiveness? Explain your reasoning by using the confidence interval you found (i) If you were to use R to find a 97% confidence interval for Medicine 2 - Medicine is what would be the appropriate code (assuming that you were able to obtain the full dataset)? Assume you have imported the data as medi and med2

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