Then the confidence interval is: So we are 90 confident that the standard deviation of the. Solution: We first need to find the critical values: and. If the sample has a standard deviation of 12.23 points, find a 90 confidence interval for the population standard deviation. If the sample has a standard deviation of 12.23 points, find a 90% confidence interval for the population standard deviation. Suppose a sample of 30 ECC students are given an IQ test. Suppose a sample of 30 ECC students are given an IQ test. This is because we primarily use the chi-square-table to find critical values. Notice that the table is similar to the t-table, with probabilities along the top and critical values in the middle. It should look something like the image below (trimmed to make it more viewable).
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You can download a printable copy of this table, or use the table in the back of your textbook. As the number of degrees of freedom increases, the distribution becomes more symmetric.įind critical values in the Χ 2 distribution using a table is done in the same manner we found critical values for the t-distribution.īefore we start the section, you need a copy of the table.The shape depends on the degrees of freedom.Has a chi-square distribution with n-1 degrees of freedom. Transcribed image text: File Home Insert Draw Page Layout Formulas Data Review View Не F11 fi E F A B C С D 1 Product Category Amazon Walmart 2 Nespresso Pi Kitchen/Hous 242.05 225.99 3 NatureMade Grocery/Cosr 17.49 19.97 4 Crocs - Mens Clothing/Sho 32.95 25.95 5 Altra Womer Clothing/Sho 85.19 82.94 6 Tracfone 6ON Grocery/Cosr 24.95 19.99 7 Pero 7OZ Grocery/Cost 5.98 5.98 8 3-Way Gourn Grocery/Cosr 49.99 31.27 9 Marmot Mer Clothing/Sho 120 126 10 Nectar in a Si Miscellaneou 6.49 7.77 11 The Essential Miscellaneou 13.98 14.75 12 DHP Emily Fu Kitchen/Hous 172.79 189 13 Huffy Nel Lus Miscellaneou 156.79 119 14 Celestial Tea Grocery/Cosr 28.52 27.98 15 Venus Swirl F Grocery/Cosr 11.75 12.97 16 TI-30X IIS Scie Miscellaneou 12.95 12.95 17 Fitbit Blaze, E Miscellaneou 169 199.95 18 Pampers Eası Grocery/Cosr 41.25 43.51 19 Better Home: Kitchen/Hous 27.62 15.49 20 Zoey Contem Kitchen/Hous 320.17 437.98 21 Maglite LED F Miscellaneou 25.47 38.99 22 Vera Wang C Kitchen/Hous 124.99 125 23 Goodyear Wi Miscellaneou 74 126.99 24 Everest Fann Clothing/Sho 5.9 9.99 25 Ravel Paris B Miscellaneou 381 419.28 26 Peanut M&N Grocery/Cosr 8.54 8.98 27 KODAK PIXPR Miscellaneou 77 72 60 28 Gold's Gym Miscellaneou 29 Fruit of the L Clothing/Sho 6.57 7.47 30 Speedo Vang Miscellaneou 18.02 17.65 31 Wilson Thras Miscellaneou 49.95 69.If a simple random sample size n is obtained from a normally distributed population with mean μ and standard deviation σ, then
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