Select a random sample of 20 of the record high temperatures in the United States, found in Data Set I in Appendix B. Find the proportion of temperatures below 110°. Construct a 95% confidence interval for this proportion. Then find the true proportion of temperatures below 110°, using all the data. Is the true proportion contained in the confidence interval? Explain.

Data from in Data SET I Appendix B

Transcribed Image Text:

Data Set I Record Temperatures Record high temperatures by state in degrees Fahrenheit 112 100 128 120 134 114 106 110 109 112 100 118 117 116 118 121 114 114 -27 -80 -40 -29 -45 -61 -32 -17 -2 - 17 105 109 107 112 115 115 118 -60 -36 -36 -47 -40 -37 -16 -50 -40 117 118 125 106 110 122 108 110 121 113 120 Record low temperatures by state in degrees Fahrenheit 12 -35 -51 -60 -19 -40 -70 -47 -50 -46 -34 119 111 104 111 -50 -52 -34 -60 -39 -27 -54 -42 -28 - 19 120 113 120 117 107 110 118 112 114 115 -58 -32 -23 -50 -50 -30 -48 -37 -55 -66