A manufacturer of flashlights wants to know how well one of their newer styles is selling in a chain of large home-improvement stores. They select a simple random sample of 25 stores, record how many of the flashlights were sold in a 30-day period, and construct a 90% confidence interval for the mean number of flashlights sold. (a) Discuss cach necessary conditions for constructing a confidence interval. If you think one of the conditions has not been met, what additional information would be required or what change in the study would you recommend? (b) If, instead of constructing a 90% confidence interval, the flashlight manufacturer constructed a 98% confidence interval, would the 98% interval be wider, narrower, or the same width as the 90% interval? Explain. (c) How would the width of confidence interval change if the flashlight manufacturer took a larger sample? Explain #6: you still need to discuss the independent condition