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Students investigated the packaging of potato chips. They purchased 6 randomly selected bags of chips marked with a net weight of 28.3 grams at different randomly selected stores. They carefully weighed the contents of each​ bag, recording the weights below​ (in grams). ​a) Do these data satisfy the assumptions for​ inference? Explain. ​b) Find the mean and standard deviation of the weights. ​c) Test the hypothesis that the net weight is as claimed.

Students investigated the packaging of potato chips. They purchased 6 randomly selected bags of chips marked with a net weight of 28.3 grams at different randomly selected stores. They carefully weighed the contents of each​ bag, recording the weights below​ (in grams). ​a) Do these data satisfy the assumptions for​ inference? Explain. ​b) Find the mean and standard deviation of the weights. ​c) Test the hypothesis that the net weight is as claimed.

MATLAB: An Introduction with Applications
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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Students investigated the packaging of potato chips. They purchased
6
randomly selected bags of chips marked with a net weight of
28.3
grams at different randomly selected stores. They carefully weighed the contents of each​ bag, recording the weights below​ (in grams).
​a) Do these data satisfy the assumptions for​ inference? Explain.
​b) Find the mean and standard deviation of the weights.
​c) Test the hypothesis that the net weight is as claimed.
 
29.2
28.2
29.3
28.7
28.9
28.5  
​a) The independence condition
▼
 
is not
is plausibly
satisfied and the Nearly Normal Condition
▼
 
is not
is plausibly
satisfied.​ Therefore, using the​ Student-t model for inference
▼
 
may not be
should be
reliable.
​b) The mean weight is
nothing
grams.
​(Round to two decimal places as​ needed.)
The sample standard deviation is
nothing
grams.
​(Round to four decimal places as​ needed.)
​c) Write appropriate hypotheses for the test.
 
H0​:
▼
 
mu less than 28.3μ<28.3
mu equals 28.3μ=28.3
mu greater than 28.3μ>28.3
mu not equals 28.3μ≠28.3
HA​:
▼
 
mu equals 28.3μ=28.3
mu greater than 28.3μ>28.3
mu less than 28.3μ<28.3
mu not equals 28.3μ≠28.3
The test statistic is
t=nothing.
​(Round to two decimal places as​ needed.)
The​ P-value is
nothing.
​(Round to three decimal places as​ needed.)
State your conclusion. Use
α=0.1.
 
▼
 
Do not reject
Reject
the null hypothesis. There
▼
 
is
is not
sufficient evidence to conclude that the mean weight is
▼
 
different from
less than
greater than
equal to
28.3
grams.
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