A Psychologist Has Established What She Calls Her Generalized Anxiety Ga Scale The Ga Scale Which Is A Scale From 0 1 (18.93 KiB) Viewed 138 times
A Psychologist Has Established What She Calls Her Generalized Anxiety Ga Scale The Ga Scale Which Is A Scale From 0 2 (52.71 KiB) Viewed 138 times
A psychologist has established what she calls her Generalized Anxiety (GA) scale. The GA scale, which is a scale from 0 to 10, measures the "general anxiety" of an individual, with higher GA scores corresponding to more anxiety. Suppose that, as sleep researchers, we're interested in finding out if there is a significant correlation between individuals' sleep behavior and their GA scores. We randomly sample 9 adults, recording the mean number of hours of sleep for each over the previous seven nights. We also measure the GA score for each adult. If the sample correlation coefficient relating these two measures for these adults is -0.67, is there a significant linear relationship between the two measures? Do a hypothesis test regarding the population correlation coefficient p. (Assume that the two measures have a bivariate normal distribution.) Use the 0.10 level of significance, and perform a two-talled test. Then complete the parts below.
(a) State the null hypothesis Ho and the alternative hypothesis H₁. H. : H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and (e) Based on our data, can we conclude (using the 0.10 level) that there is a significant linear relationship between mean sleep time over the past seven nights and GA score? O Yes O No
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