Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 191 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ho: μ = 153 Ha: ≤ 153 Ho: M = 153 Ha: μ< 153 Ho: μ = 153 H 153 a: Ho: μ = 153 Ha:μ> 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. Reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this bee exceeds the actual content. O Do not reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this heer exceeds the actual content

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content.
An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of
a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 191 and the
sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population
sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001.
State the appropriate null and alternative hypotheses.
Ho: M = 153
Ha:μ ≤ 153
Ho: μ = 153
Ha:μ<
Ho: M = 153
H₂:μ ‡ 153
a
< 153
Ho: μ = 153
Ha:μ > 153
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to
four decimal places.)
Z =
P-value =
State the conclusion in the problem context.
Do not reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this
beer exceeds the actual content.
Reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer
exceeds the actual content.
Do not reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of
this beer exceeds the actual content.
Reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer
exceeds the actual content.
Transcribed Image Text:Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 191 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ho: M = 153 Ha:μ ≤ 153 Ho: μ = 153 Ha:μ< Ho: M = 153 H₂:μ ‡ 153 a < 153 Ho: μ = 153 Ha:μ > 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. Reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. Do not reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. Reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman