The mean weight of shipping containers is supposed to be no more than 11.7 kg. To test whether or not this value has since increased, a random sample of size 290 containers are weighed and found to have a sample mean of 12.1 kg. We will assume that the population of container weights is normally distributed with standard deviation of 3.7 kg. Test whether the mean population weight has increased at a level of significance of 0.5%. Show your relevant steps below.
The mean weight of shipping containers is supposed to be no more than 11.7 kg. To test whether or not this value has since increased, a random sample of size 290 containers are weighed and found to have a sample mean of 12.1 kg. We will assume that the population of container weights is normally distributed with standard deviation of 3.7 kg. Test whether the mean population weight has increased at a level of significance of 0.5%. Show your relevant steps below.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![The mean weight of shipping containers is
supposed to be no more than 11.7 kg. To test
whether or not this value has since increased, a
random sample of size 290 containers are
weighed and found to have a sample mean of
12.1 kg.
We will assume that the population of container
weights is normally distributed with standard
deviation of 3.7 kg.
Test whether the mean population weight has
increased at a level of significance of 0.5%. Show
your relevant steps below.
Step 1: Hypotheses:
• The null hypothesis Ho is (choose one):
u = 3.7 OH = 11.7 OH = 12.1
u = 290.0
• For the alternative hypothesis Ha we change
the equal sign in Ho to (choose one):
Step 2: Rejection Region:
The rejection region is bounded by the following
critical values:
Critical z valuete](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88aa0228-5fe1-42ae-8859-eebbdc8b4652%2Fde729f13-3ecd-4030-baf1-694a36d65106%2Fqi2d45d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The mean weight of shipping containers is
supposed to be no more than 11.7 kg. To test
whether or not this value has since increased, a
random sample of size 290 containers are
weighed and found to have a sample mean of
12.1 kg.
We will assume that the population of container
weights is normally distributed with standard
deviation of 3.7 kg.
Test whether the mean population weight has
increased at a level of significance of 0.5%. Show
your relevant steps below.
Step 1: Hypotheses:
• The null hypothesis Ho is (choose one):
u = 3.7 OH = 11.7 OH = 12.1
u = 290.0
• For the alternative hypothesis Ha we change
the equal sign in Ho to (choose one):
Step 2: Rejection Region:
The rejection region is bounded by the following
critical values:
Critical z valuete
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