Suppose a company sells bacon in packages that they claim average a weight of 12 ounces. Timothy believes that the actual average weight of the packages is different than what the company claims, and would like to test this using a significance level of 0.01. He takes a random sample of 31 packages and gets a sample mean of 12.49 ounces and a sample standard deviation of 1.02 ounces. a) What are the null and alternative hypotheses? Ho: μ ÷ == 12 ÷ HA: M = ± = 12 b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) 2.678 Your last answer was interpreted as follows: 2.678 c) Using the statistical table, the p-value is 0.01 < p-value < 0.02 → d) Based on the p-value, Timothy should fail to reject ✰ the null hypothesis. e) This data does not provide sufficient evidence to conclude that the actual average weight of the packages is different from → what the company claims. Check

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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Suppose a company sells bacon in packages that they claim average a weight of 12 ounces. Timothy believes that the actual
average weight of the packages is different than what the company claims, and would like to test this using a significance level of
0.01. He takes a random sample of 31 packages and gets a sample mean of 12.49 ounces and a sample standard deviation of 1.02
ounces.
a) What are the null and alternative hypotheses?
Ho: μ
÷
== 12
÷
HA: M
=
± =
12
b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)
2.678
Your last answer was interpreted as follows:
2.678
c) Using the statistical table, the p-value is 0.01 < p-value < 0.02 →
d) Based on the p-value, Timothy should fail to reject ✰ the null hypothesis.
e) This data does not provide
sufficient evidence to conclude that the actual average weight of the packages is
different from → what the company claims.
Check
Transcribed Image Text:Suppose a company sells bacon in packages that they claim average a weight of 12 ounces. Timothy believes that the actual average weight of the packages is different than what the company claims, and would like to test this using a significance level of 0.01. He takes a random sample of 31 packages and gets a sample mean of 12.49 ounces and a sample standard deviation of 1.02 ounces. a) What are the null and alternative hypotheses? Ho: μ ÷ == 12 ÷ HA: M = ± = 12 b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) 2.678 Your last answer was interpreted as follows: 2.678 c) Using the statistical table, the p-value is 0.01 < p-value < 0.02 → d) Based on the p-value, Timothy should fail to reject ✰ the null hypothesis. e) This data does not provide sufficient evidence to conclude that the actual average weight of the packages is different from → what the company claims. Check
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