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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,

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

Let1represent the mean weight on Scale1and 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. Determine what kind of hypothesis test this is. (Right-tailed, left-tailed, or two-tailed).
  3. Compute the test statistic. Round the answer to three decimal places.
  4. How many degrees of freedom are there, using the simple method?
  5. Estimate theP-value. Fill in the correct blank. P (blank), P > (blank), (blank) < P (blank).
  6. Determine whether to rejectH0.
  7. State a conclusion.

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