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3. Over the past 10 years, the local school district has measured physical fitness for all high school freshmen. During that time, the mean score

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3. Over the past 10 years, the local school district has measured physical fitness for all high school freshmen. During that time, the mean score on a treadmill endurance task has been 19.8 minutes with a standard deviation of 7.2 minutes. Assume that the distribution is approximately normal. evol a. What is the probability of randomly selecting a student with a treadmill time greater than 25 minutes? (Please report as a percentage with 2 decimal places) now 26919 b. If the school required a minimum time of 10 minutes for students to pass the physical education course, what percentage of the freshmen would fail? (Please give two decimal places) JOYNER BOY (TRAMe) 4. Assume you have a normally distributed population with a u = 6.8 and a o = 12. a. Taking the mean of each and every sample of n = 4 from the population would give you a distribution known as the sub. What is the mean of the distribution created in Question 4a? bar c. The mean you reported in Question 4b is also known as the d. What is the standard deviation of the distribution we created in Question 4a? benttol e. The standard deviation you calculated in Question 4d is also known as the f. Given the information from Question 4, what is the probability of randomly selecting a sample of n = 4 scores with a mean less than 8? (Please report as a percentage to two decimal places.) g. Suppose that rather than being normally distributed, the population described in Question 10 was severely negatively skewed. Explain why you would not be able to find the probability of obtaining a sample mean less than M = 8 using the methods we've covered in this class

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