Question

Mrs. Goodman's physics class built different-shaped parachutes to see which shapes were more effective. The students tested the parachutes by dropping them from a height of 20 feet and timing the fall. They calculated the summary below: Mean Std Dev Min Q1 Median Q3 Max 4.6 secs 0.4 sec 2.3 secs 3.1 secs 4.2 secs 5.5 secs 6.4 secs The students want to see what happens to their times when they drop the parachutes from 32 feet. They find that the time of every drop is increased by 2 seconds. Find the new mean and standard deviation.​

Answer 1

mean 6.6 seconds
standard deviation 0.4 seconds

Answer 2

In the realm of Mrs. Goodman's physics class, wherein the diligent scholars hath fashioned parachutes of sundry shapes to discern the efficacy thereof, the students embarked upon an empirical odyssey. They did submit these aerial contraptions to scrutiny by casting them from a lofty height of twenty feet and thereby quantifying their descent. The resultant statistical tableau doth unfold thus:

Mean: 4.6 seconds

Standard Deviation: 0.4 seconds

Minimum: 2.3 seconds

First Quartile: 3.1 seconds

Median: 4.2 seconds

Third Quartile: 5.5 seconds

Maximum: 6.4 seconds

Now, with ardor unmatched, the scholars seeketh to unveil the consequences of plummeting the parachutes from the grand altitude of 32 feet. They are resolved to augment each fall's temporal manifestation by the bounty of two seconds. Pray, allow me to divulge the novel estimations for the mean and standard deviation henceforth.

The New Mean (μ_new) shall be ascertained thusly: It is the summation of the Old Mean (μ_old), which standeth at 4.6 seconds, and the Time Increase, a value that hath been determined to be 2 seconds. Thus, the New Mean (μ_new) doth emerge as 6.6 seconds.

As for the New Standard Deviation (σ_new), verily, it retaineth its former essence, unaltered by this noble endeavor. The Old Standard Deviation (σ_old), standing at 0.4 seconds, hath persevered unscathed through this temporal journey.

In sum, as the parachutes take flight from a height of 32 feet, with each fall prolonged by 2 seconds, the resultant chronicles unveil a New Mean time of 6.6 seconds, whilst the Standard Deviation remaineth constant at 0.4 seconds, unswayed by the winds of change.