We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively. (a) Calculate a 90% confidence interval for the average difference between the temperature measurements between 1968 and 2008. lower bound: degrees(please round to two decimal places) upper bound: degrees(please round to two decimal places) (b) Interpret this interval in context. There is a 90% chance that the difference in temperatures in a city from year to year will be between the lower bound and upper bound O We are 90% confident that the true mean difference in temperatures is contained between the lower bound and upper bound O We are 90% confident that 90% of the time the differences in temperatures from year to year will be between the lower bound and upper bound O We are 90% confident that the mean difference in these sample temperatures is contained between the lower bound and upper bound (c) Does the confidence interval provide convincing evidence that the temperature was higher in 2008 than in 1968 in the continental US? Explain. No, because the confidence interval contains 0 O No, because the confidence interval is not very wide O Yes, because the confidence interval contains mostly positive numbers Yes, because the confidence interval contains negative numbers

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We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively.

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We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51
locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported
differences are 1.1 degrees and 4.9 degrees respectively.
(a) Calculate a 90% confidence interval for the average difference between the temperature measurements
between 1968 and 2008.
lower bound:
degrees(please round to two decimal places)
upper bound:
degrees(please round to two decimal places)
(b) Interpret this interval in context.
There is a 90% chance that the difference in temperatures in a city from year to year will be
between the lower bound and upper bound
O We are 90% confident that the true mean difference in temperatures is contained between the lower
bound and upper bound
O We are 90% confident that 90% of the time the differences in temperatures from year to year will be
between the lower bound and upper bound
O We are 90% confident that the mean difference in these sample temperatures is contained between
the lower bound and upper bound
(c) Does the confidence interval provide convincing evidence that the temperature was higher in 2008 than
in 1968 in the continental US? Explain.
No, because the confidence interval contains 0
O No, because the confidence interval is not very wide
O Yes, because the confidence interval contains mostly positive numbers
Yes, because the confidence interval contains negative numbers
Transcribed Image Text:We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively. (a) Calculate a 90% confidence interval for the average difference between the temperature measurements between 1968 and 2008. lower bound: degrees(please round to two decimal places) upper bound: degrees(please round to two decimal places) (b) Interpret this interval in context. There is a 90% chance that the difference in temperatures in a city from year to year will be between the lower bound and upper bound O We are 90% confident that the true mean difference in temperatures is contained between the lower bound and upper bound O We are 90% confident that 90% of the time the differences in temperatures from year to year will be between the lower bound and upper bound O We are 90% confident that the mean difference in these sample temperatures is contained between the lower bound and upper bound (c) Does the confidence interval provide convincing evidence that the temperature was higher in 2008 than in 1968 in the continental US? Explain. No, because the confidence interval contains 0 O No, because the confidence interval is not very wide O Yes, because the confidence interval contains mostly positive numbers Yes, because the confidence interval contains negative numbers
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