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1) An experiment consists of selecting a letter at random from the letters in the word MASSACHUSETTS and observing the outcomes. (Enter your answers using roster notation. Enter Ø for the empty set.)
a. What is an appropriate sample space for this experiment?
b. Describe the event "the letter selected is a vowel." 2) The manager of a local bank observes how long it takes a customer to complete his transactions at the automatic bank teller.
a. Describe an appropriate sample space for this experiment.
{t | t > 0} {t | t < 0} {t | t = 0}
b. Describe the event that it takes a customer between 2 and 3 min to complete his transactions at the automatic bank teller.
{t | t > 2} {t | 2 ≤ t ≤ 3} {t | t ≤ 3} {t | t ≤ 2} {t | t > 1}
Explain your answer to someone who is familiar with the t test for a single sample, but not with the t test for independent means.
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