Calculate the standard error of the mean difference

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Reference no: EM131024887

In an experiment to compare two diets for fattening beef steers, nine pairs of animals were chosen from the herd; members of each pair were matched as closely as possible with respect to hereditary factors. The members of each pair were randomly allocated, one to each diet. The following table shows the weight gains (lb) of the animals over a 140-day test period on diet 1 (Y1) and
on diet 2 (Y2).

PAIR

DIET I

DIET 2

DIFFERENCE

1

596

498

98

2

422

460

-38

3

524

468

56

4

454

458

-4

5

538

530

8

6

552

482

70

7

478

528

-50

8

564

598

-34

9

556

456

100

    Mean              520.4                     497.6                            22.9
     SO                57.1                        47.3                            59.3

(a) Calculate the standard error of the mean difference.

(b) Test for a difference between the diets using a paired t test at α = 0.10. Use a nondirectional alternative.

(c) Construct a 90% confidence interval for μD.

(d) Interpret the confidence interval from part (c) in the context of this setting.

Reference no: EM131024887

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