Below is the basic Fairbanks evidence in the form of a scatterplot. For summer precipitation I'm using the Standardized Precipitation Index (SPI). The SPI is widely used in drought assessment and is extremely useful for comparing precipitation anomalies for regions with quite different climates (say, Fairbanks vs. Yakutat). However, it's also a handy way of characterizing anomalies at a single locations, since the SPI effectively takes into account the distribution of precipitation amounts, which very often do not follow a bell (Gaussian) curve and turns the anomalies into standard deviations. For temperatures, which at the monthly and seasonal scale usually do follow a bell-curve distribution (in the absence of trend), standardized anomalies are just the observed minus the long term average, and that difference divided by the long term standard deviation.When we work-up those statistics for each summer during the Weather Bureau/NWS era at Fairbanks (using the full 1930-2016 record as the baseline), here's what we get. The summer SPI is on the vertical axis and the summer temperature anomaly is on horizontal axis. The red dashed line is the linear correlation, which is significant, and does lend support to the idea that warm summers (right-hand side of the plot) do trend to be dry, while cool summers due tend to be wet.
Update: A couple of folks have asked about how wildfire activity fits into this, so here's the basic temp vs. rainfall anomaly plot with the million acre plus seasons highlighted. In this view, only two seasons, 2002 and 2015, had significantly above average summer rainfall in Fairbanks and also burned a million acres or more (statewide).