The air temperature is measured every 6 hours for one week. Thetemperatures are given in the data table. Use the data to completeparts a through e below. _# Temperature 1 45.4 2 56.7 3 49.2 4 45.25 43.2 6 53.6 7 48.6 8 43.7 9 54.2 10 53.8 11 50.2 12 44.9 13 53.414 57.5 15 56.8 16 49.7 17 41.2 18 58.7 19 55.2 20 42.2 21 49.3 2257.1 23 58.8 24 41.5 25 40.4 26 51.4 27 55.8 28 45.4
a. Draw a systematic sample consisting of 2​ temperatures, andthen calculate the sampling error for the sample. The samplingerror for the sample is
B. Draw a systematic sample consisting of 4 temperatures, andthen calculate the sampling error for the sample. The samplingerror for the sample is ___ F. (Round to two decimal places asneeded.)
c. Draw a systematic sample consisting of 7 temperatures, andthen calculate the sampling error for the sample. The samplingerror for the sample is ___ F. (Round to two decimal places asneeded.)
d. Compare the sampling error for parts a, b, and c and explainthe reason for the differences. Choose the correct answer below. Ingeneral, increasing the sample size has no effect on the samplingerror. In general, increasing the sample size makes the magnitudeof the sampling error larger. The sample obtained in part b doesnot follow this trend, however. In general, increasing the samplesize makes the magnitude of the sampling error smaller. The sampleobtained in part c does not follow this trend, however. In general,increasing the sample size makes the sampling error increasinglynegative.
e. What problems might be encountered with the sample obtainedin part c? The presence of periodicity in the data might impact thesample obtained in part c. The lack of periodicity in the datamight impact the sample obtained in part c. The larger sampleobtained in part c might lead to a larger diversion from the da
