A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected and the diameter is measured.

Question

A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected and the diameter is measured. The resulting data (in millimeters) are as follows:

No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Dia. 8.21 8.21 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24

Use the data above to calculate a 95% two-sided confidence interval on the mean rod diameter. Assume the data are normally distributed.

a. Calculate the sample mean and standard deviation.
b. Calculate the 95% two-sided confidence interval on the true mean rod diameter.

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Vân Khánh 4 years 2021-08-22T16:42:29+00:00 2 Answers 108 views 0

Answers ( )

  1. ngocdiep
    0
    2021-08-22T16:44:00+00:00
    Reply

    The answer is 8.323 sorry if I’m wrong

  2. Amity
    0
    2021-08-22T16:44:18+00:00
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    Answer:

    a. the sample mean is 8.232  and standard deviation is 0.025967012040004

    You can be 95% confident that the difference between your two population means (μ1 – μ2) lies between -0.01942 and 0.01942.

    Step-by-step explanation:

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