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he quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at four different locations in river in an effort to determine if water pollution varied from location to location. Location I was 500 meters above an industrial plant water scharge point and near the shore. Location II was 200 meters above the discharge point and in midstream. Location III was 50 meters downstream om the discharge point and near the shore. Location IV was 200 meters downstream from the discharge point and in midstream. The following ible shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, ecology udents collecting the data had fewer of these samples. Use a 5% level of significance. Do we reject or not reject the claim that the quantity of issolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.9 6.9 4.6 4.3 6.7 7.7 5.2 5.3 7.1 7.8 4.8 65 6.5 8.2 5.3 6.3 4.6 a) What is the level of significance? State the null and alternate hypotheses. Ho: H1 = H2 = 13 = 14; Hy: Not all the means are equal. Ho: M1 = 12 = 13= 14: H1: All four means are different. Ho: M1 = 12 = 13 = 14; H1: Exactly two means are equal. Ho: M1 = 12= 13 = 14: H1: Exactly three means are equal. (b) Find SSTOT, SSBET, and SSw and check that SSTOT = SSBET + SSw. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d. f.BET, d.f.w. MSBET, and MSw. (Use 3 decimal places for MSBET, and MSw.) dfBET = dfw = MSBET = MSw = Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? (numerator) (denominator) (c) Find the P-value of the sample test statistic. OP-value > 0.100 0.050