Question

- 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

- Use the space or the graph paper below to make a dot plot for these data.
- What is the sample mean for this dataset?
- What is the sample standard deviation for this dataset?
- How many degrees of freedom are there?
- 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.**

Example 3: A machine that fills beverage cans is supposed to put
12 ounces of beverage in each can. 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 Perform a hypothesis test to
determine whether the mean volume differs from 12 ounces. Use a
0.05 level of significance.
Also construct a 99% confidence interval for the data.
Null Hypothesis:
Alternative Hypothesis:
Test Static=
P-Value=
Conclusion:

A machine that fills beverage cans is supposed to put 12 ounces
of beverage in each can. Followingare the amounts measured in a
simple random sample of eight
cans.12.1612.0411.7812.0312.0312.0912.2711.84Assume that the sample
is approximately normal. Can you conclude that the mean volume
differsfrom 12 ounces? Use the Į = 0.1level of significance.

A machine that fills beverage cans is supposed to put 16 ounces
of beverage in each can. Following are the amounts measured in a
simple random sample of eight cans. 16.04 15.96 15.84 16.08 15.79
15.90 15.89 15.70 Assume that the sample is approximately
normal.
Can you conclude that the mean volume differs from 16 ounces?
Use P-value method and the α=0.05 level of significance
. a) (2 pts) Identify the null and alternate hypothesis:
b) (3 pts) Find the...

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