Please write it step by step with no software for computing the problems Is there strong evidence of global warming? Let's consider a small scale example, comparinghow temperatures have changed in the US from 1968 to 2008. The daily high temperaturereading on January 1 was collected in 1968 and 2008 for 51 randomly selected locations in thecontinental US. Then the difference between the two readings (temperature in 2008 -temperature in 1968) was calculated for each of the 51 different locations. The average of these51 values was 1.1 degrees with a standard deviation of 4.9 degrees. We are interested indetermining whether these data provide strong evidence of temperature warming in thecontinental US.(a) Is there a relationship between the observations collected in 1968 and 2008? Or are theobservations in the two groups independent? Explain.(b) Write hypotheses for this research in symbols and in words.(c) Check the conditions required to complete this test.(d) Calculate the test statistic and find the p-value.(e) What do you conclude? Interpret your conclusion in context.(f) Calculate a 90% confidence interval for the average difference between the temperaturemeasurements between 1968 and 2008. Interpret this interval in context.(g) Does the confidence interval provide convincing evidence that the temperature was higherin 2008 than in 1968 in the continental US? Explain.

According to our guidelines we are allowed to answer three sub-parts (a) Since the temperatures are…

(a) Is there a relationship between the observations collected in 1968 and 2008? Or are the observations in the two groups independent? Explain. (b) Write hypotheses for this research in symbols and in words. (c) Check the conditions required to complete this test.

(a) Is there a relationship between the observations collected in 1968 and 2008? Or are the observations in the two groups independent? Explain. (b) Write hypotheses for this research in symbols and in words. (c) Check the conditions required to complete this test.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please write it step by step with no software for computing the problems

Is there strong evidence of global warming? Let's consider a small scale example, comparing
how temperatures have changed in the US from 1968 to 2008. The daily high temperature
reading on January 1 was collected in 1968 and 2008 for 51 randomly selected locations in the
continental US. Then the difference between the two readings (temperature in 2008 -
temperature in 1968) was calculated for each of the 51 different locations. The average of these
51 values was 1.1 degrees with a standard deviation of 4.9 degrees. We are interested in
determining whether these data provide strong evidence of temperature warming in the
continental US.
(a) Is there a relationship between the observations collected in 1968 and 2008? Or are the
observations in the two groups independent? Explain.
(b) Write hypotheses for this research in symbols and in words.
(c) Check the conditions required to complete this test.
(d) Calculate the test statistic and find the p-value.
(e) What do you conclude? Interpret your conclusion in context.
(f) Calculate a 90% confidence interval for the average difference between the temperature
measurements between 1968 and 2008. Interpret this interval in context.
(g) Does the confidence interval provide convincing evidence that the temperature was higher
in 2008 than in 1968 in the continental US? Explain.

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