Students at Cypress College wanted revenge against Hill from last year's dodgeball tournament, so they started practicing for this year's tournament. An observation of 25 students during practice found they on average survived 54.8 seconds in matches with a standard deviation of 11.7 seconds. Assuming the data is from a normal distribution, estimate how long the typical student will now survive in a match at the 95% confidence level.

1. Students decided they were going to get their revenge on Hill from the previous Cypress College
dodgeball tournament, so they started practicing to gear up for this year's tournament. The
effectiveness of the training is being investigated. Observing students found that, on average, the
time students survived in dodgeball matches during their practice is 54.8 for a sample of size 25
and standard deviation 11.7. Assume the data is from a normally distributed population. Estimate
how long the typical student will survive in a dodgeball match now that they've practiced (using a
95% confidence level) by hand, using the appropriate formula(s) and drawing a graph with the
desired area shaded as demonstrated in lecture. Enter your answer as an inequality accurate to
three decimal places. < u <