A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The colled given in the table below. Complete parts (a) through (c) below. Observation Date Initial Depth, X, 1 2 3 4 5 1/25 3/19 5/30 7/3 9/13 11/7 61.6 38.3 49.5 67.2 48.1 44.2 Depth Five Years Later, Y; 69.1 38.2 54.1 69.8 54.7 46.1 & C. Reject Ho- There is sufficient evidence at the a= 0.05 level of significance to conclude that the clarity of the lake is improving. O D. Do not reject Ho. There is not sufficient evidence at the a= 0.05 level of significance to conclude that the clarity of the lake is improving.-

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A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates
years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected da
given in the table below. Complete parts (a) through (c) below.
Observation
2
3
4
Date
1/25 3/19 5/30 7/3
9/13 11/7
Initial Depth, X;
61.6 38.3 49.5
67.2 48.1
44.2
Depth Five Years Later, Y;
69.1 38.2 54.1 69.8 54.7 46.1
'C. Reject H,. There is sufficient evidence at the a= 0.05 level of significance to conclude that the clarity of the lake is improving.
D. Do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that the clarity of the lake is improving.
c) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part b)?
Choose the correct graph below.
А.
OB.
OC.
OD.
-8
-8
-8
Difference
Difference
Difference
Difference
Transcribed Image Text:A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected da given in the table below. Complete parts (a) through (c) below. Observation 2 3 4 Date 1/25 3/19 5/30 7/3 9/13 11/7 Initial Depth, X; 61.6 38.3 49.5 67.2 48.1 44.2 Depth Five Years Later, Y; 69.1 38.2 54.1 69.8 54.7 46.1 'C. Reject H,. There is sufficient evidence at the a= 0.05 level of significance to conclude that the clarity of the lake is improving. D. Do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that the clarity of the lake is improving. c) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part b)? Choose the correct graph below. А. OB. OC. OD. -8 -8 -8 Difference Difference Difference Difference
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