Show Work

Q1:From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.54. What is the 95% confidence interval for the amount of time spent on administrative issues?

Q2: If a confidence interval is given from 43.8 up to 62.0 and the mean is known to be 52.9, what is the margin of error?

Q3: In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?

Q4: In a sample of 10 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a sample standard deviation of 3.8 hours. Find the 95% confidence interval. Assume the times are normally distributed.

Q5: A consumer analyst reports that the mean life of a certain type of alkaline battery is more than 36 months. Write the null and alternative hypotheses and note which is the claim.