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 56 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 86. 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. O Ho: H = 153 H:H< 153 O Hoi H = 153 H: H > 153 Ο H, μ153 H: us 153 O Ho: H = 153 H:u + 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.) 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. O Reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. O Reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer 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 beer exceeds the actual content. You may need to use the appropriate table in the Appendix of Tables to answer this 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 56 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 86. 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. O Ho: H = 153 H:H< 153 O Hoi H = 153 H: H > 153 Ο H, μ153 H: us 153 O Ho: H = 153 H:u + 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.) 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. O Reject the null hypothesis. There is sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content. O Reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie content of this beer 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 beer exceeds the actual content. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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: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 56 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 86. 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: H = 153
Наi и< 153
О Но: и 3D 153
Ha: u > 153
O Ho: H = 153
He:
Ha: us 153
Но: и3 153
На: и # 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 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.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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