1. Calculate the mean, standard deviation, and n for the data given.
2. An experiment was run by Nube that suggested having a balanced physical activity and meditation schedule cut sprint times by 50% on average. The experiment's mean is Mexperiment = 30 min. Suppose that to be certain of this claim, the experiment's mean must be at least 2 standard deviations away from the original data set's mean. Does the data suggest that this claim is accurate?
3. The standard error indicates the "wiggle room" of means that come from different data sets if the same data were collected again. The standard error of a data set is defined as Standard Error = m with o being the standard deviation and r being the sample size. What is the standard error of the sprint times?
4. Previous surveys of game sprints have produced a mean of /previous = 64.37 min Does the mean of the previous surveys fall within 1 standard error of the current data set given above? Explain what this means.
5. Suppose that Nube has made a deal with the camp attendees that if the sum of all of the official scores in the data set is divisible by 3, they will give every camp attendee a free copy of the new installment in the Stellar Winds franchise. Is this a fair 50/50 deal? Why or why not?
6. Suppose that Nube wants to create an advertisement that says 97.5% of camp attendees have sprint times under 100 min. Would you amend this statement, and if so. how?