Posted by MBAhopeful on Saturday, October 3, 2009 at 10:50am.
A machine used for packaging seedless golden raisins is set so that their standard deviation in the weight of raisins packaged per box is 0.25 ounce. The operations manager wishes to test the machine setting and selects a sample of 30 consecutive raisin packages filled during the production process.
At the 0.05 level of significance, is there evidence that the population standard deviation differs from 0.25 ounces?
What assumptions are made in order to perform this test?
statistics - MathMate, Saturday, October 3, 2009 at 1:26pm
First establish a null hypothesis
H0 : population σ² = 0.25²
n = 30
Calculate the sample variance, s.
calculate the Χ² statistic
Χ² = (n-1)*s²/σ²
Look up the Χ² table for 29 degrees of freedom and 5 and 95% levels of confidence.
If the calculated Χ² falls between these limits, the null hypothesis is not rejected.
Answer This Question
More Related Questions
- MATH - it is found that the number of raisins in a box of a popular cereal is ...
- MATH 2 - It is found that the number of raisins in a box of a popular cereal is ...
- Statistics - A packaging device is set to fill detergent power packets with a ...
- statistics - a packaging device is set to fill detergent powder packets with a ...
- statistics - question- a packaging device is set to fill detergent powder ...
- marketing research - A packaging device is set to fill detergent power packets ...
- statistics - Sugar packaged by a certain machine has a mean weight of 5 lb and a...
- Statistics - A machine fills 12 ounce bottles with soda. For the machine to ...
- statistics - You want to determine if your widgets from machine 1 are the same ...
- quantitative methods - a packing device is set to fill detergent powder packet ...