A candle company wishes to estimate the time it takes their candles to completely burn. They choose 23 candles at random from their latest production run and measure how long each takes to burn. The average time of this sample is 264 minutes with a standard deviation of 25 minutes. If the company uses a 99% confidence interval to measure the average burn time of all candles in this production run, what will their margin of error be? please

Zazil’s Instagram reels over the year have averaged around 70 likes per art reel with a standard deviation of 12. Since using trending music over her art reels, several of them have recently gone viral, averaging 120 likes with a standard deviation of 6. Zazil would like to know if adding trendy music over a reel increases her average likes. How do we use a Z-Test to test to calculate the data and determine if we reject or fail to reject the null hypothesis?

From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of the age when smokers first start to smoke remains constant at around 2.1 years. The American Lung Association claims that the mean age when smokers first start to smoke is at least 17. A survey of 40 randomly selected smokers of this generation was done and it was found that the mean age when smokers first started to smoke was 18.1. Is there enough evidence to reject the claim?    Describe what a Type I error is for this situation.   Describe what a Type II error is for this situation.

A cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. You decide to measure battery lifetime by recording the time it takes for the battery charge to run out while a tester is streaming videos on the phones continuously. Then you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume that the population standard deviation of the battery lifetimes for that cell phone model (using your method of measurement) is 2.42 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Take Sample Sample size: 0 Number of phones Point estimate: 0 45 Sample mean…