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 scale 1        weight scale 2      1                   11.23                     11.27      2                   14.36                      14.41      3                     8.33                        8.35      4                    10.50                      10.52      5                    23.42                       23.41      6                     9.15                         9.17      7                    13.47                       13.52      8                       6.47                         6.46      9                     12.40                      12.45     10                    19.38                       19.35 Can you conclude that the mean weight differs between the scales? Use a 1% level of significance. Assume that the weights are normally distributed.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
icon
Related questions
Topic Video
Question

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 scale 1        weight scale 2

     1                   11.23                     11.27

     2                   14.36                      14.41

     3                     8.33                        8.35

     4                    10.50                      10.52

     5                    23.42                       23.41

     6                     9.15                         9.17

     7                    13.47                       13.52

     8                       6.47                         6.46

     9                     12.40                      12.45

    10                    19.38                       19.35


Can you conclude that the mean weight differs
between the scales? Use a 1% level of
significance. Assume that the weights are
normally distributed.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,