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1. The director of a hospital laboratory decided to keep records over a period of one week. The laboratory tests were subdivided by the shift

1. The director of a hospital laboratory decided to keep records over a period of one week. The laboratory tests were subdivided by the shift of workers who performed the lab tests. The results are shown below. Complete parts (a and c).

Lab Tests Performed

Day Shift

Evening Shift

Total

Nonconforming

16

22

38

Conforming

654

308

962

Total

670

330

1000

1(a) Complete the following contingency table based on total percentages (round percentages to integers as needed).

Lab Tests Performed

Day Shift

Evening Shift

Total

Nonconforming

%

%

%

Conforming

%

%

%

Total

%

%

100%

1(b) Complete the following contingency table based on column percentages (round percentages to integers as needed).

Lab Tests Performed

Day Shift

Evening Shift

Total

Nonconforming

%

%

%

Conforming

%

%

%

Total

100%

100%

100%

1(c) What conclusions concerning the pattern of nonconforming laboratory tests can the laboratory director reach?

-Nonconforming tests more commonly occur during the evening shift.

-Tests performed during the evening shift are fundamentally flawed.

-The best way to reduce the number of nonconforming tests is to perform fewer tests during the day shift.

-He cannot reach a conclusion because the size of this sample is too small.

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