In a 1993 study, researchers took a sample of people who claimed
to have had an intense experience with an unidentified flying
object (UFO) and a sample of people who did not claim to have had
such an experience (Spanos et al., 1993). They
then compared the two groups on a wide variety of variables,
including IQ. Suppose you want to test whether or not the average
IQ of those who have had such a UFO experience is higher than 100,
so you want to test H0: μ 100 vs.
Ha: μ 100.
Identify clearly what the symbol μ represents in this
context.
Is this a one-sided or a two-sided test? Explain how you can
tell.
The sample mean IQ of the 25 people in
the study who claimed to have had an intense experience with a
UFO was 101.6; the standard deviation of these IQs was 8.9.
c. Does this information enable you to check the technical
conditions completely? What needs to be true for this procedure to
be valid?
Calculate the test statistic and draw a sketch with shaded area
corresponding to obtaining a test statistic as extreme or more
extreme than this one observed for the sample of 25 UFO
observers.
Use the t-table or technology to determine (as accurately
as possible) the p-value.
Write a sentence interpreting the p-value in the context of
this sample and these hypotheses. Summarize the conclusion of your
test in context.
In a 1993 study, researchers took a sample of people who claimed to have had an intense experience with an unidentified
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