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 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
H_a: μ > 153H₀: μ = 153
H_a: μ < 153    H₀: μ = 153
H_a: μ ≤ 153H₀: μ = 153
H_a: 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.

Answer 1

solub ani- a) Ho l=153 Ha: el > 153 191 - 153 3.17 Lt b) za X-li slun 89) 155 Pralue 0.0008 C) Since L P-value Har e mia A the Reject null hypothesis There is sufficient evidence that true men average estimated calorie content the actual content. T exceeds