Setup: JP was curious about the sodium content of organic cornflakes. To investigate this, twenty 300-gram boxes of organic cornflakes were obtained and the sodium content was measured. The data (in milligrams) are as follows: 131.1, 130.7, 130.9, 129.5, 129.6, 128.8, 130.7, 128.3, 128.2, 129.7, 130.1, 129.3, 128.7, 129.0, 129.4, 130.4, 129.5, 130.1, 129.8, 130.0 Task: Perform a hypothesis test using R to determine if you can support a claim that the mean sodium content of this brand of cornflakes differs from 130 milligrams? Use a to make your decision. 0.08 R Output: Upon running your analysis in R, you obtain the following results: One Sample t-test data: corn t = -1.6659, df = 19, p-value = 0.1121 alternative hypothesis: true mean is not equal to 130 92 percent confidence interval: 129.3458 130.0342 sample estimates: mean of x 129.69 Questions: (a) State the hypotheses used in performing this test. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the hypothesis test, as well as why you made that decision. (c) Based on the decision you made, state your conclusion in the context of the problem.
Setup: JP was curious about the sodium content of organic cornflakes. To investigate this, twenty 300-gram boxes of organic cornflakes were obtained and the sodium content was measured. The data (in milligrams) are as follows: 131.1, 130.7, 130.9, 129.5, 129.6, 128.8, 130.7, 128.3, 128.2, 129.7, 130.1, 129.3, 128.7, 129.0, 129.4, 130.4, 129.5, 130.1, 129.8, 130.0 Task: Perform a hypothesis test using R to determine if you can support a claim that the mean sodium content of this brand of cornflakes differs from 130 milligrams? Use a to make your decision. 0.08 R Output: Upon running your analysis in R, you obtain the following results: One Sample t-test data: corn t = -1.6659, df = 19, p-value = 0.1121 alternative hypothesis: true mean is not equal to 130 92 percent confidence interval: 129.3458 130.0342 sample estimates: mean of x 129.69 Questions: (a) State the hypotheses used in performing this test. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the hypothesis test, as well as why you made that decision. (c) Based on the decision you made, state your conclusion in the context of the problem.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.5: Solve Uniform Motion Applications
Problem 305E: John left his house in Irvine at 8:35 am to drive to a meeting in Los Angeles, 45 miles away. He...
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Transcribed Image Text:Setup: JP was curious about the sodium content of organic cornflakes. To investigate
this, twenty 300-gram boxes of organic cornflakes were obtained and the sodium content
was measured. The data (in milligrams) are as follows:
131.1, 130.7, 130.9, 129.5, 129.6,
128.8, 130.7, 128.3, 128.2, 129.7,
130.1, 129.3, 128.7, 129.0, 129.4,
130.4, 129.5, 130.1, 129.8, 130.0
Task: Perform a hypothesis test using R to determine if you can support a claim that the
mean sodium content of this brand of cornflakes differs from 130 milligrams? Use a = 0.08
to make your decision.
R Output: Upon running your analysis in R, you obtain the following results:
One Sample t-test
data:
corn
= 0.1121
t = -1.6659, df = 19, p-value
alternative hypothesis: true mean is not equal to 130
92 percent confidence interval:
129.3458 130.0342
sample estimates:
mean of x
129.69
Questions:
(a) State the hypotheses used in performing this test.
(b) Using the output above, state the decision (Reject or Not Reject Ho) of the hypothesis
test, as well as why you made that decision.
(c) Based on the decision you made, state your conclusion in the context of the problem.
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