Question

1. A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The following are the amounts measured in a simple random sample of eight cans:

11.96             12.10            12.04              12.13           11.98               12.05           11.91               12.03

1. Use the space or the graph paper below to make a dot plot for these data.
2. What is the sample mean for this dataset?
3. What is the sample standard deviation for this dataset?
4. How many degrees of freedom are there?
5. Perform a hypothesis test for this dataset. What is your conclusion?

Answer 1

a)

b) What is the sample mean for this dataset?

Sample mean= (11.96+12.1+...+12.03)/8=96.2/8= 12.025

c) What is the sample standard deviation for this dataset?

d) How many degrees of freedom are there?

e) Perform a hypothesis test for this dataset. What is your conclusion?

The calculated value is smaller than critical value(0.9726<2.365) , so the mean of data set is not significantly different from μ=12.