Monday

July 28, 2014

July 28, 2014

Posted by **geety** on Saturday, July 28, 2012 at 1:40pm.

- statistics -
**MathGuru**, Saturday, July 28, 2012 at 7:27pmNull and alternative hypotheses:

Ho: The population standard deviation is = 7.0

Ha: The population standard deviation is > 7.0

Data given:

sample standard deviation = 7.6

level of significance = 0.10

n = 26

The test statistic used in making a decision is the chi-square.

Here's the formula:

chi-square = (sample size - 1)(sample variance)/(value specified in the null hypothesis)

Note: Convert both standard deviations to variances (7.0 and 7.6) when working with the formula. Remember that standard deviation is the square root of the variance; therefore, variance is standard deviation squared.

Degrees of freedom is equal to n - 1, which is 25.

Checking a chi-square table using significance level = 0.10 with 25 degrees of freedom, find the critical value. If the test statistic exceeds the critical value from the chi-square table, then the null is rejected. If the test statistic does not exceed the critical value from the table, then the null cannot be rejected and there is not enough evidence to support the claim that the population standard deviation is greater than 7.0 grams.

I hope this will help get you started.

- Correction -
**MathGuru**, Saturday, July 28, 2012 at 7:32pmThe last line should read:

If the test statistic does not exceed the critical value from the table, then the null cannot be rejected and there is not enough evidence to support the claim that the population standard deviation is greater than 7.0. (The word "grams" should not have been included.)

Sorry for any confusion.

**Related Questions**

statistics - it is stated that the standard deviation sample of the is 7.6 (n = ...

statistics - Given a sample size of 38, with sample mean 660.3 and sample ...

Statistics - Use a x squared-test to test the claim about the population ...

Statistics - Use a chi-squared test to test the claim about the population ...

Statistics - This is the first question..... For a population that has a ...

statistics - A sample of 40 observations is selected from one approximately ...

statistics - A sample of 40 observations is selected from one approximately ...

statistics - A researcher administered a treatment to a sample of participants ...

Statistics - 8. A sample of 65 observations is selected from one population. The...

statistics - 7. A sample of 40 observations is selected from one population. The...