Hi, could someone please help?
2. A manufacturer is responsible for creating and packaging the discs for a new video game. To ensure the quality of their product, they randomly select and test 180 discs to make sure the video game starts properly. They discover that 12 of the discs give error messages when tested. Create a 90% confidence interval and interpret the answer in context.
A. (0.0617, 0.0716); The manufacturer can be 90% confident the population proportion of discs that give an error message lies between 6.17% and 7.16%.
B. (0.0361, 0.0973); The manufacturer can be 90% confident that the population proportion of discs that give an error message lies between 3.61% and 9.73%.
C. (0.0481, 0.0853); The manufacturer can be 90% confident the population proportion of discs that give an error message lies between 4.81% and 8.53%.
D. (0.0585, 0.0749); The manufacturer can be 90% confident the population proportion of discs that give an error message lies between 5.85% and 7.49%.
3. An exercise equipment company is producing 45 lb. weights. To ensure the quality of their weights, they randomly select 60 weights and find that the mean weight of their sample is 45.07 lbs. with a standard deviation of 0.09 lbs. Create a 95% confidence interval and interpret the answer in context.
A. (45.0509, 45.0891); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 45.0509 and 45.0891 lbs.
B. (44.8423, 45.2977); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 44.8423 and 45.2977 lbs.
C. (44.9772, 45.0228); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 44.9772 and 45.0228 lbs.
D. (45.0472, 45.0928); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 45.0472 and 45.0928 lbs.
4. Raul is analyzing a set of data he collected and creating a confidence interval. If he chose to reduce the size of the sample and increase the level of confidence, how would that affect the confidence interval? Explain.
A. The size of the confidence interval would decrease because Raul would be dividing by a larger z-score and multiplying by a smaller sample size.
B. The size of the confidence interval would increase because Raul would be dividing by a smaller z-score and multiplying a larger sample size.
C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.
D. The size of the confidence interval would decrease because Raul would be multiplying by a smaller z-score and
