Studies have examined changes over time in the annual global temperature based on planet-wide recordings. To...

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Studies have examined changes over time in the annual globaltemperature based on planet-wide recordings. To make temperaturesat different locations comparable, "temperature anomalies" arecomputed locally by comparing the local annual sea surfacetemperature average with the local temperature reference, the1951-1980 average. The analysis showed that, in each of severaltime periods, the distribution of local seasonal temperatureanomalies was approximately Normal. Because temperature anomaliesare computed relative to the 1951-1980 reference period, summertemperature N(0,1). Decades later, summer temperature in thenorthern hemisphere over the 2005-2015 period followedapproximately the N(1.6, 1.3) distribution. (a) Draw bothdistributions on the same graph, indicating the mean and standarddeviation of each curve. (Select the graph that best matches thegraph you drew. Make sure that the means and standard deviations onthe legend match the curves.) 13 (b) In the reference period,standardized summer temperature anomalies greater than 3 wereconsidered to be extreme heat events. Based on the proposed Normalmodel, what percent of local summer temperature anomalies in thenorthern hemisphere were extreme heat events in the 1951-1980reference period? (Enter your answer rounded to one decimal place.)percent: (c) Based on the proposed Normal model, what percent oflocal summer temperature anomalies in the northern hemispherebetween 2005 and 2015 were extreme heat events? (Enter your answerrounded to one decimal place.) percent (d) Based on the recordingstations at numerous worldwide locations, 14.5% of temperatureanomalies in the northern hemisphere were extreme heat eventsbetween 2005 and 2015, compared with 0.1% in the reference periodof 1951 to 1980 Compare the actual values to the ones you obtainedusing the proposed Normal models. O Both values found using theNormal models are very close to the actual values. Neither valuefound using the Normal models is very close to the actual value.The value found for 1951-1980 using the Normal model is very closeto the actual value, but not the one for 2005-201:5 O The valuefound for 2005-2015 using the Normal model is very close to theactual value, but not the one for 1951-1980.

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