(a) What are the null and alternative hypotheses? Ho: p ♦ 14 HA: P → => 14 ◆ (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.01 < p-value < 0.02 (d) Based on the p-value, Timothy should reject the null hypothesis. (e) This data provides sufficient evidence to conclude that the actual average weight of the packages is less than → what the company claims.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Q2

Suppose a company sells bacon in packages that
they claim average a weight of 14 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 0.02. He takes a random
sample of 51 packages and gets a sample mean
of 14.55 ounces and a sample standard deviation
of 1.16 ounces.
(a) What are the null and alternative hypotheses?
Ho: P
14
HA: P
<♦
= +
14
(b) What is the test statistic? (Round your answer
to 3 decimal places, if needed.)
(c) Using the statistical table, the p-value is
0.01 < p-value < 0.02
Check
(d) Based on the p-value, Timothy should
reject
◆ the null hypothesis.
(e) This data provides
◆ sufficient
evidence to conclude that the actual average
weight of the packages is less than
what the company claims.
→
Transcribed Image Text:Suppose a company sells bacon in packages that they claim average a weight of 14 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 0.02. He takes a random sample of 51 packages and gets a sample mean of 14.55 ounces and a sample standard deviation of 1.16 ounces. (a) What are the null and alternative hypotheses? Ho: P 14 HA: P <♦ = + 14 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.01 < p-value < 0.02 Check (d) Based on the p-value, Timothy should reject ◆ the null hypothesis. (e) This data provides ◆ sufficient evidence to conclude that the actual average weight of the packages is less than what the company claims. →
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