In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales,10 rock specimens were weighed, in grams, on each scale. The following data were obtained:

Specimen Weight on Scale 1 Weight on Scale 2

1 11.79 11.95

2 15.37 14.84

3 8.66 8.93

4 11.34 11.47

5 24.12 24.58

6 9.52 9.72

7 14.41 14.06

8 6.79 6.59

9 13.14 12.82

10 20.93 20.70

Let

1

represent the mean weight on Scale1

and=

d

1

2

.

Can you conclude that the the mean weight on Scale1is greater than the mean weight on Scale2? Use the = 0.05level of significance.

1. State the appropriate null and alternate hypotheses.
2. Is this a right-tailed, left-tailed, or two-tailed test?
3. Compute the test statistic. Do not round the intermediate steps. Round the answer to two decimal places.
4. Compute the P-value. Use the answer from the last question. Round the answer to four decimal points.
5. Determine whether to reject H0.
6. State a conclusion.