1. Construct a 95% confidence interval for HUNDRED_BLOCK_SCORE a. Be sure to pick an appropriately sized sample and verify the sample can be approximated with a normal distribution. b. Be sure to clearly describe the steps taken in constructing this confidence interval. 2. Conduct a hypothesis test for HUNDRED_BLOCK_SCORE with a 5% significance level. a. Be sure to pick an appropriately sized sample. b. Be sure to clearly describe the procedures taken in completing the four-step process of conducting a hypothesis test.

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.