Researchers at the National Weather Center in Portland, Maine recorded the number of 90° days each year since records were first kept, starting in 1875. The number of 90° days form a normal-shaped distribution, with a mean of μ = 9.6 days and a standard deviation of σ = 1.9. To see if the data showed any evidence of climate change (and specifically global warming), they also computed the mean number of 90° days for the most recentn = 4 years and obtained a mean number of days for the past four years ofx̅ = 12.25 days. Using a one-tailed test with α = .05, the researchers completed the calculations, but they need your help in drawing an appropriate conclusion. (According to their calculations, the standard error issM = 0.95, and the sample mean ofx̅ = 12.25 days corresponds to az-score ofz = 2.79.)
Using the same one-tailed test (α = .05), determine if the data indicate that the past four years have had significantly more 90° days than would be expected for a random sample from this population. Write your conclusion in a sentence as it might appear in a research report (i.e. as you've been doing in your homework). At the end of your sentence, be sure to include the test statistic,p-level, and a measure of effect size (Cohen’sd…which you will have to calculate).
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