Question

1. You own a gym and when a new customer signs up for a gym membership they tell you their age, thus you have the ages of all members in your gym. The population mean is 40 and standard deviation is 15. (a) On a random day at the gym you sample 10 members who are working out and ask what their age is. What is the chance that your sample mean will be less than 33? i. Use probability notation to write the question above. Use a ? to denote the probability that you do not know yet. P( ii. On the standard normal distribution to the right, correctly label the axes, the z-score, and the probability of interest. ii. How would you find this probability?

Please help with the formulas used as well

Answer 1

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