Question

In: Statistics and Probability

A researcher hypothesizes that people who believe in paranormal phenomena will obtain higher scores on the...

A researcher hypothesizes that people who believe in paranormal phenomena will obtain higher scores on the personality dimension of openness-to-experience. To test this belief, the researcher takes 8 randomly-selected people and gives them 2 tests: one is a 50-item test that measures the extent to which they endorse beliefs in paranormal phenomena and the other is a 30-item test that measures their openness-to-experience. The following data were obtained:

Subjects Paranormal beliefs Openness-to-experience
1 40 22
2 20 14
3 48 24
4 6 9
5 30 23
6 26 20
7 42 27
8 12 7

a) Do these data provide significant support for the researcher’s belief (α = .05)?

b) Use the data to generate a 95% prediction interval for the openness-to-experience score of a person with a paranormal beliefs score of 25.

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