Question

A researcher must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 51.9 91.1 122.6 88.7 76.7 105.8 100.8 76 Assuming the population of temperatures are normally distributed, find the 95% confidence interval. Round the answers to two decimal places. Enter your answer as an interval of the form (LB,UP). The researcher is 95% confident that the population average temperature is within the temperature interval

Answer 1

PAGE NO. Solution: - Given that, u=8 Sample mean x = EX - 718.6 713.6 - 89.2 ke dample Standard deviation El (Xi- X² u-g (51.9-89.277..... +(76-89,212 8-9 3251.32 7 464.474285 521552

PAGE NO. Hese, n = 8 x = 89.2 8 = 21.552 at At 95% Confidence internal for t df = nga 7 1-0.95 = 0.05 a 0.05. - 0.025 na 2.365 - Usingt ar 0.025,7 & Maagin of esses fat s 21.552 - 2.365 (24552) - 18.020 on The 95° Confidence internal meanid, X+ Ê 89.2 - 18.02 Les 89.2 + 18.02 (2018, 107. 22) 95% Confidence interval that the popular tion quazage temperature is within 171.18 to 10%. 22