A research group measured the Earth's globally averaged temperature T during June in 4 different years, and obtained the data listed in the table. Year T (K) O 1004 280.73 1 2002 286.83 2 2008 280.00 3 2015 280.08 4 rows x 2 columns

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# 143. Global Temperatures
A research group measured the Earth's globally averaged temperature T during June in 4 different years, and
obtained the data listed in the table.
Year
T (K)
O 1994 286.73
1 2002 286.83
2 2008 288.90
3 2015 286.98
4 rows x 2 columns
What is the expected global temperature in June 2016?
T number (rtol=0.01, atol=0.0001)
Give a prediction interval for the temperature in June 2017 at the 86% level.
Ib
number (rtol=0.01, atol=0.0001)
ub
number (rtol=0.01, atol=0.0001)
In what year are you at least 90% confident that the expected June temperature first exceeded 286.78 K?
Year number (rtol=0.01, atol=0.0001)
A climate-skeptic questions whether the Earth is really getting warmer. How could you test this hypothesis.
Compute the relevant test statistic and its associated P-value. (Note: report the absolute value for the statistic)
t-statistic number (rtol=0.01, atol=0.0001)
P-value number (rtol=0.01, atol=0.0001)
What is your conclusion at a 5% significance level?
O (a) The test is inconclusive
O (b) The Earth is getting warmer and we're all going to die
Transcribed Image Text:# 143. Global Temperatures A research group measured the Earth's globally averaged temperature T during June in 4 different years, and obtained the data listed in the table. Year T (K) O 1994 286.73 1 2002 286.83 2 2008 288.90 3 2015 286.98 4 rows x 2 columns What is the expected global temperature in June 2016? T number (rtol=0.01, atol=0.0001) Give a prediction interval for the temperature in June 2017 at the 86% level. Ib number (rtol=0.01, atol=0.0001) ub number (rtol=0.01, atol=0.0001) In what year are you at least 90% confident that the expected June temperature first exceeded 286.78 K? Year number (rtol=0.01, atol=0.0001) A climate-skeptic questions whether the Earth is really getting warmer. How could you test this hypothesis. Compute the relevant test statistic and its associated P-value. (Note: report the absolute value for the statistic) t-statistic number (rtol=0.01, atol=0.0001) P-value number (rtol=0.01, atol=0.0001) What is your conclusion at a 5% significance level? O (a) The test is inconclusive O (b) The Earth is getting warmer and we're all going to die
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