Question

The tensile strength of manila ropes follows a normal distribution. A random sample of 16 manila ropes has a sample mean strength 4450 kg and sample standard deviation 115 kg. Suppose that we want to test whether the mean strength of manila rope is less than 4500 kg. At a significance level ? = 0.05, the value of the test statistic and the conclusion for this test are: 1.739; Reject H0 -1.753; Reject H0 -1.739; Do not reject H0 -1.739; Reject H0 -1.753; Do not reject H0

          The tensile strength of manila ropes follows a normal distribution. A random sample of 16 manila ropes has a sample mean strength 4450 kg and sample standard deviation 115 kg. Suppose that we want to test whether the mean strength of manila rope is less than 4500 kg. At a significance level ? = 0.05, the value of the test statistic and the conclusion for this test are:
1.739; Reject H0
-1.753; Reject H0
-1.739; Do not reject H0
-1.739; Reject H0
-1.753; Do not reject H0

The tensile strength of manila ropes follows a normal distribution. A random sample of 16 manila ropes has a sample mean strength 4450 kg and sample standard deviation 115 kg. Suppose that we want to test whether the mean strength of manila rope is less than 4500 kg. At a significance level ? = 0.05, the value of the test statistic and the conclusion for this test are:
1.739; Reject H0
-1.753; Reject H0
-1.739; Do not reject H0
-1.739; Reject H0
-1.753; Do not reject H0

Added by Jesse C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

08/01/2022

Step 1

Substitute the values: \[ t = \frac{4450 - 4500}{\frac{115}{\sqrt{16}}} \] \[ t = \frac{-50}{28.75} \] \[ t = -1.739 \] ** Show more…

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The tensile strength of manila ropes follows a normal distribution. A random sample of 16 manila ropes has a sample mean strength 4450 kg and sample standard deviation 115 kg. Suppose that we want to test whether the mean strength of manila rope is less than 4500 kg. At a significance level a = 0.05, the value of the test statistic and the conclusion for this test are: 1.739; Reject H0 -1.753; Reject H0 -1.739; Do not reject H0 -1.739; Reject H0 -1.753; Do not reject H0