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 57 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 185 and the sample standard deviation was 82. 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. Ο Ηo : μ = 153, Η : μ + 153 Ο Ηo : μ = 153, Ha : μ < 153 Ο Η : μ = 153, Ha : μ > 153 Calculate the test statistic and 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 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. 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 sufficient evidence that the true average estimated

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 57 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 185 and the sample standard
deviation was 82. 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.
Ο Η : μ = 153, Ha : μ + 153
Ο Ηo : μ = 153, Ha : μ < 153
Ο Η : μ = 153, Η : μ > 153
Calculate the test statistic and 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 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.
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 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 57 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 185 and the sample standard deviation was 82. 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. Ο Η : μ = 153, Ha : μ + 153 Ο Ηo : μ = 153, Ha : μ < 153 Ο Η : μ = 153, Η : μ > 153 Calculate the test statistic and 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 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. 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 sufficient evidence that the true average estimated calorie content of this beer exceeds the actual content.
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