or the mean to perature diference between summer and Tho accompanying table gves
ID: 3318850 • Letter: O
Question
or the mean to perature diference between summer and Tho accompanying table gves the average ngh tempera uresin January and Jly for several a es in a certain continent. Write a 98% oon dence n er a winter on that continent. Be sure to check the conditions for inference, and dlearly explain what the interval means click the icon to view the temperatures. Mean High Temperatures- Are the conditions for matched pairs inference satisfied? Seledt all that apply A. No, the Nearly Normal Condtion is not satisfied B. cannot be determined if the hdependence Assumption is satisfied C. No, the Paired Data Condtion is not satisfied D. Yes, all three conditions for matched pairs inference are satisfied. Mean High TemperaturesF 36 72 41 76 36 75 54 90 54 89 40 60 46 86 44 73 43 65 21 76 38 83 E. No. the Independence Assumption is definitely not satisfied The 96% oontderce inervai 'oro. mean terperature dinorence between summer and winter i* CO Round to one decimal place as needed) Explain what this interval means. Choose the correct answer below 0 A. O B. C. D. About 98% of all samples wil have a mean that fals wirin this interval. One can have 98% confidence that this interval captures the true mean temperature difference between summer and winter. The true mean temperatuo dfference between summer and w nter falls in this interval 98% of the time There is a 98% chance that this interval captures the mean temperature difference between summer and winter of the sample Print DoneExplanation / Answer
Yes, this is matched pairs experiment since the pair of observations are taken on each city in two months. Option(D)
Copy the data into Excel and save in .csv format.
R code : > data1=read.csv(file.choose(),header=T) #import the file from excel
> attach(data1)
> t.test(Jan,July,paired=T,conf.level=0.98) # paired t-test
Paired t-test
data: Jan and July
t = -11.537, df = 11, p-value = 1.741e-07
alternative hypothesis: true difference in means is not equal to 0
98 percent confidence interval:
-43.55471 -26.94529
sample estimates:
mean of the differences
-35.25
The interval means that the true mean temperature difference between summer and winter falls in this interval 98% of the time.
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