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 vas 193 and the sample standard deviation was 89. Dees this data suggest that the true average estimated calorie content in the population sampled exceeds the actual centent? Test the aappropriate hypotheses at significance level 0.001. State the apprepriate null and alternative hypetheses. O HI153 O Hai 153 O Mi- 153 H 153 • H- 153 Calculate the btest statistic and determine the Pvalue. (Round your test statistic to tvo decimal places and your Pvalue to four decimal places.) Avale. State the conclusion in the problem context. • 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. 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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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 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 193 and the
sample standard deviation was 89. 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 Hi 4 = 153
H:u < 153
Ho: u = 153
H: us 153
O Ho: u = 153
H: u+ 153
• Ho: 4 = 153
HH > 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 i
the problem context.
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.
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 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 193 and the sample standard deviation was 89. 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 Hi 4 = 153 H:u < 153 Ho: u = 153 H: us 153 O Ho: u = 153 H: u+ 153 • Ho: 4 = 153 HH > 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 i the problem context. 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. 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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