Question

It is perceived that anEnergy Bar contains 294 calories ON AVERAGE, per bar.

However, students wonder if their prof. MAY have UNDERESTIMATED the ACTUAL AVERAGE number of calories, per bar. SO, they take a random sample of 49 bars from a NON-normal “population”, and discover the following about that sample:

TOTAL calories for all 49 bars = 14700 calories;

VARIANCE for that data =196 .

(a)AT THE 1% SIGNIFICANCE LEVEL, should Prof. P’s students feel comfortable claiming that their prof. has underestimated the actual average number of calories, per energy bar? SHOW ALL YOUR WORK FOR ALL SIX TYPICAL STEPS in a hypothesis testing analysis.

(b) Given your part (a) decision, there must be SOME (NON-zero) probability that Prof. P’s students committed WHICH type of error? (c)AS PRECISELY AS POSSIBLE, please determine the P-value for the test.

Answer 1

First null and hypothesis is mentioned and then test statistic is calculated and compared with table value. Based on that null is accepted and p value is then found.