Suppose the nutrition information on the package of Matilde's favorite brand of chips states that a serving size of 28 g equals about 12 chips. That means, on average, each chip should weigh 2.33 g. Matilde decides to test the accuracy of this serving size information. She plans to conduct a one-sample t-test with a significance level of a = 0.05 to test the null hypothesis, %3D Ho: u = 2.33, against the alternative hypothesis, H1: µ ± 2.33, where u is the average weight of a chip. Matilde selects a random sample of unbroken chips to weigh. She does not know the population standard deviation nor the distribution of chip weights, but she has confirmed that her sample does not contain any outliers. The summary statistics for her test are shown in the following table. Sample size Sample mean Sample standard deviation Test statistic Probability value P-value 60 2.37 0.12 2.367 0.021 Based on these results, complete the following sentences to state the decision and conclusion of the test. Matilde's decision is to the (P = 0.021). There is evidence to the claim that the average weight of is
Suppose the nutrition information on the package of Matilde's favorite brand of chips states that a serving size of 28 g equals about 12 chips. That means, on average, each chip should weigh 2.33 g. Matilde decides to test the accuracy of this serving size information. She plans to conduct a one-sample t-test with a significance level of a = 0.05 to test the null hypothesis, %3D Ho: u = 2.33, against the alternative hypothesis, H1: µ ± 2.33, where u is the average weight of a chip. Matilde selects a random sample of unbroken chips to weigh. She does not know the population standard deviation nor the distribution of chip weights, but she has confirmed that her sample does not contain any outliers. The summary statistics for her test are shown in the following table. Sample size Sample mean Sample standard deviation Test statistic Probability value P-value 60 2.37 0.12 2.367 0.021 Based on these results, complete the following sentences to state the decision and conclusion of the test. Matilde's decision is to the (P = 0.021). There is evidence to the claim that the average weight of is
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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Transcribed Image Text:Based on these results, complete the following sentences to state the decision and conclusion of the test.
Matilde's decision is to
the
(P = 0.021). There is
evidence to
the claim that the average weight
of
is
Answer Bank
fail to reject
reject
0.021
alternative hypothesis
greater than
fail to accept
60
5%
some
insufficient
2.367
2.37 g
equal to
one-sample t-test
sample proportion
the sample of chips
disprove
prove
all chips of this brand
less than
null hypothesis
ассеpt
support
2.33 g
different than
sufficient
0.05
0.12 g
no

Transcribed Image Text:Suppose the nutrition information on the package of Matilde's favorite brand of chips states that a serving size of 28 g equals
about 12 chips. That means, on average, each chip should weigh 2.33 g. Matilde decides to test the accuracy of this serving
size information. She plans to conduct a one-sample t-test with a significance level of a = 0.05 to test the null hypothesis,
Họ: H = 2.33, against the alternative hypothesis, H1: µ ± 2.33, where u is the average weight of a chip.
Matilde selects a random sample of unbroken chips to weigh. She does not know the population standard deviation nor the
distribution of chip weights, but she has confirmed that her sample does not contain any outliers. The summary statistics for
her test are shown in the following table.
Sample size Sample mean Sample standard deviation Test statistic Probability value
n
P-value
60
2.37
0.12
2.367
0.021
Based on these results, complete the following sentences to state the decision and conclusion of the test.
Matilde's decision is to
the
(P = 0.021). There is
evidence to
the claim that the average weight
of
is
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