Suppose we know that a certain watermelon weighs exactly 3.50kilograms. 100 inve

Question

Suppose we know that a certain watermelon weighs exactly 3.50kilograms. 100
investigators (who don't know the true weight of the watermelon)all set out independently to attempt
to estimate its weight by weighing it 100 times each. Eachinvestigator independently generates a 95%
confidence interval for the true weight of the watermelon as thesample average (of their 100
weighings) ± 2 * SE (as estimated from their weighings).
a) Would you expect all of them to have intervals of the samelength? Why or why not?
b) How many of the 100 Confidence Intervals would you expect tocontain 3.50 kg, the true weight of the
watermelon? Explain your answer

Explanation / Answer

a) No intervals won't be of same length because standard errordepends on sample standard deviation which is different fordifferent samples b) 95 because confidence interval is 95%

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