By how many

\\\\sigma _(m)

do the mean values differ from the known value of

9.79572(m)/(s^(2))

?\

(|9.5-9.79572|)/(0.2)=1.5\ (|9.74-9.79572|)/(0.02)=2.8

\ (a) Are the differences statistically significant, that is, are they more than 3 sigma?\ (b) See the table here to relate the number of sigmas (

n

in the table) to approximate\ chance occurrence ("

1-p

" in the table), but note that the table only goes up to 6 sigma.\ Beyond that, the chance occurrence is so tiny that it is basically zero.\ Raphael Guirguis ces are not more than 3 sigma.\ (b)\ If the difference is not due to random chance, what issues with the measurements in the\ Free-Fall lab would likely have caused the measured gravitational constant to be low, as\ observed?\ If difference is not due to random chance then it could be due to\ Experiment 2: The Ruler Drop (also known as "The $20 Bill Bet")\ The name of this section is suggested by a bar bet. You hold a

$20

bill and let a person put their\ fingers on both sides of the center. The bet is that the person can't grab the bill before it falls\ from between their fingers. In the event that you plan to earn your way through college with this\ bet, you may want to get some data on the distributions before setting out for the bars.\ (Note:

$20

bills are not well-calibrated, and they're definitely not something we want to hand out\ as_nart ofa_lah So instead we.will he_using a meter_stick_Sorrv)

2. By how many m do the mean values differ from the known value of 9.79572m/s2 ? 0.29.59.79572=1.50.029.749.79572=2.8 3. (a) Are the differences statistically significant, that is, are they more than 3 sigma? (b) See the table here to relate the number of sigmas ( n in the table) to approximate chance occurrence (" 1p " in the table), but note that the table only goes up to 6 sigma. Beyond that, the chance occurrence is so tiny that it is basically zero. Raphael Guirguis ces are not more than 3 sigma. (b) 4. If the difference is not due to random chance, what issues with the measurements in the Free-Fall lab would likely have caused the measured gravitational constant to be low, as observed? If difference is not due to random chance then it could be due to Experiment 2: The Ruler Drop (also known as "The $20 Bill Bet") The name of this section is suggested by a bar bet. You hold a $20 bill and let a person put their fingers on both sides of the center. The bet is that the person can't grab the bill before it falls from between their fingers. In the event that you plan to earn your way through college with this bet, you may want to get some data on the distributions before setting out for the bars. (Note: $20 bills are not well-calibrated, and they're definitely not something we want to hand out So instead we will he_using a meter stick_Sorry)