Question 1 2 pts A random sample of 36 school lunches yielded a mean of 754 calories with a standard deviation of 105 calories. Construct a 95% confidence interval for the population mean number of calories in the school lunches. **The general rounding rule for constructing Cls is to round your margin of error to the same number of places as . Here, since is rounded to the nearest whole number, you should do the same to your margin of error when constructing the Cl. Answer: The 95% CI for the population mean number of calories is ( ). Question 2 1 pts Interpret the Cl from the question above. I am [Select] that the [Select] [Select] number of calories is between and calories. (your answers from the previous question would go in the blanks) Question 3 2 pts The following data set contains the number of minutes played for a random sample of professional basketball players in a recent season. 35 29 22 6 33 34 12 Assuming the population of times is normally distributed and assuming that = 4.5 minutes, construct a 90% CI for the population mean. To ensure your answer matches the one given, round the sample mean to the tenths place (one decimal place) when constructing your Cl. **The general rounding rule for constructing Cls is to round your margin of error to the same number of places as . Here, since is rounded to the tenths place, you should do the same to your margin of error when constructing the Cl. Answer: The 90% CI for the population mean number of minutes played is ( ). Question 4 Interpret the Cl from the question above. I am [Select] that the [Select] 1 pts [Select] number of minutes played is between _ and __ calories. (your answers from the previous question would go in the blanks) Question 5 2 pts You want to estimate the mean amount of time college students spend watching TV each day. The estimate must be within 2 minutes of the population mean. Determine the minimum required sample size to construct a 99% CI for the population mean. Assume the population standard deviation is 9.8 minutes. Question 6 1 pts If all other quantities remain the same, how does the indicated change affect the width of the CI? (a) Increase in the level of confidence [Select]