Question

Demand for vanilla ice cream at a small ice cream shop can be approximated by a Normal distribution with a mean of 21 liters per week and a standard deviation of 3.5 liters per week.

a. True
b. False

Answer 1

The student's questions involve applying statistical concepts such as hypothesis testing, normal distributions, and confidence intervals in different real-world contexts.

Step-by-step explanation:

The question relates to hypothesis testing and confidence intervals involving normal distributions. Students are asked to apply statistical methods to determine the independence of variables, construct confidence intervals, and understand the central limit theorem. For example, when constructing a 90 percent confidence interval for the mean grams of fat per serving of chocolate chip cookies, one would use the sample mean and sample standard deviation to find the margin of error and then add and subtract this from the sample mean to obtain the interval. Similarly, for the question about the standard deviation of soda servings, the fact that the population is assumed to be normally distributed allows the use of typical parametric statistical methods like confidence intervals and hypothesis testing.