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1- What is the chi-square statistic for the sample? Are all the expected frequencies greater than 5? Find or estimate the P -value of the

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1- What is the chi-square statistic for the sample? Are all the expected frequencies greater than 5? Find or estimate theP-value of the sample test statistic.

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The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Mesa Top 72 55 62 189 Cliff-Talus 81 67 65 213 Canyon Bench 91 65 70 226 Column Total 244 187 197 628 Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded. Democratic 8 18 19 45 Republican 13 18 16 47 21 36 35 92 Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.19 6.19 5.91 5.84 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is 5'2 = 0.318. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 6.61 7.24 6.89 7.59 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is 52 = 0.673. Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifcance

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