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The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at olution varied from location
The quantity of dissolved oxygen is a measure of water pollution in lakes, rivers, and streams. Water samples were taken at olution varied from location to location. Location I was 500 meters above an industrial plant water the discharge point and in m point and in midstream. The following table shows the results. Lower dissolved oxygen readings mean more pollution. Because of the difficulty in getting midstream samples, emlogy students collecting the data had fewer of these samples. Use a 10% level of significance. Do we reject or not reject the claim that the quantity of dissolved oxygen does not vary from one location to another? Location I Location II Location III Location IV 7.3 4.5 5.4 6.2 5.3 (@) What is the level of significance? state the null and alternate hypotheses. OH,: #1 - H2 " #3 - M4: H: All four means are different. O He: 1 - #2 - #3 - #4: Hj: Not all the means are equal. OH: P: equal O Hip - #2 " #3 - #4; Hj: Ex (b) Find SStop S5acn, and SS, and check that SStay - SSper + SS,. (Use 3 decimal places.) SSTOT SSDIT- Find d.farr. d.f.w MSper, and MS,. (Use 3 decimal places for MSagr. and MS,.) acr- Find the value of the sample F statistic. (Use 3 decimal places.) what are the degrees of freedom? (numerator) E) Find the A-value of the sample tes mal places.) d) Based on your answers in parts (a) to (c), will you reject or fall to reject the null hypothesis? O Since the P value is greater than the level of significance at a = 0.1, we do not reject Hy. O Since the P value is less than or ance at a - 0.1, we reject Ho. O Since the P value is greater tha ice at a - 0.1, we reject Hy. O Since the P valu alficance at a - 0.1, we do not reject Ho- e) Interpret your condusion In the conte O At the 10% level of significance there is Insufficient evidence to condude that the means are not all equal. O At the 10% level O At the 10% level of si at the means are all equal. O At the 10% level of si cans are all equal. (f) Make a summary table for your ANOVA test. ource of P Value Within groups Total
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