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.

Weights

15.2

15

14.3

15.3

15.2

14.4

15.1

15.4

15.5

15.7

15.6

15.4

15.3

15.7

15.2

15

15.4

15.5

15.1

15.3

15.6

14.3

14.9

15.1

14.6

14.8

15.3

14.5

14.6

15.1

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

## Related Questions

- statistics - Sugar packaged by a certain machine has a mean weight of 5 lb and a...
- 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 ...
- math - Courtney wanted to share raisins with Norman and Mark. She counted 36 ...
- Math - Marcy paid $35 for 10 kg of raisins. She divided raisins equally into two...
- statistics - Machines are used to pack sugar into packets supposedly containing ...
- Statistics - Machines are used to pack sugar into packets supposedly containing ...
- statistics - 5. A soft drink dispensing machine uses paper cups that hold a ...

More Related Questions