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 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.
H0: μ = 153
Ha: μ > 153H0:
μ = 153
Ha: μ <
153 H0: μ =
153
Ha: μ ≤ 153H0:
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.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 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.
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or...
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 58 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 87. Does this data suggest that the true average estimated calorie content...
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 levels 192 the sample standard deviation was 86. Does this data suggest that the true average estimated calorie content in the...
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The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way candies. M&M's Kit Kat Milky Way 230 225 200 210 205 208 240 215 202 220 235 190 230 250 180 Test for significant differences among the calorie content of these three candies. State the null and alternative hypotheses. H0: Not all populations of calories are identical. Ha: All populations of calories are identical.H0:...
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The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. H0:...
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A statistical program is recommended The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions 32.1 30.7 31.4 30.4 31.0 31.9 The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed (a) Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using α = 0.01 State...