Question

The calories in a Serrano burrito are distributed normally, with mean 820 calories and a variance of 900 square calories.

1.What is the probability that you’ll order a burrito that has 790 calories or less? (If your answer is 23.5% enter 23.5 as your answer, do not enter 0.235 or 23.5%)

2.Bryan works at Serrano and he is currently being monitored closely by his superiors: they’re worried he’s being too generous with his burritos. Suppose 100 of his burritos are randomly sampled and it is found that they contained an average of 827.5 calories with a sample standard deviation of 50 calories. What is the t-statistic associated with the test of the null-hypothesis that Bryan’s burritos are average in terms of the number of calories they contain ( “average” being 820 calories)?

3.Would you reject or fail to reject the null-hypothesis (from #2) for a critical value of ??=0. 05?

Answer 1