Math  /  Data & Statistics

QuestionTax-Exempt Properties A tax collector wishes to see if the mean values of the tax-exempt propertice are different for two cities. The values of the tax-exempt properties for the two samples are shown. The data are given in millions of bollars. At α=0.10\alpha=0.10, is there endugh evidence tos support the tax eallector's edaim that the mesus sre different? \begin{tabular}{cccc|cccc} \multicolumn{4}{c|}{ Clty A } & \multicolumn{4}{|c}{ Clty B } \\ \hline 10 & 52 & 13 & 27 & 68 & 11 & 81 & 9 \\ 15 & 31 & 16 & 22 & 82 & 50 & 12 & 4 \\ 33 & 38 & 31 & 39 & 20 & 5 & 15 & 12 \\ 19 & 27 & & & 2 & 5 & 16 & \end{tabular} Sand tata to Ercel
Use μi\mu_{i} for the mean value of tax-exempt properties in City A. Assume the variables are normally distributed and the variances are unequal.
Port 1 of 5
State the hypotheses and identify the claim with the correct hypothesis. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} \quad net claim \quad \boldsymbol{} H1:μ1μ2H_{1}: \mu_{1} \neq \mu_{2} \quad dolm This hypothesis test is a two-talled 7\quad 7 test.
Part: 1/51 / 5
Part 2 of 5
Find the critical value(s). Round the answer(s) to at least three decimal places. If there more than one citical value, separate them with commas. Critical value(s): \square

Studdy Solution
Using the degrees of freedom calculated, find the critical t-value(s) from the t-distribution table.
The critical value(s) for the test are: ±tα/2,df\pm t_{\alpha/2, df}, where dfdf is the calculated degrees of freedom.

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