Monday

December 22, 2014

December 22, 2014

Posted by **Haley** on Tuesday, June 5, 2007 at 7:25pm.

Measurements on the percentave of enrichment of 12 fuel rods used in a nuclear reactor were reported as follows:

3.11

2.88

3.08

3.01

2.84

2.86

3.04

3.09

3.08

2.89

3.12

2.98

Is there an indication that the rods do not meet a target of 2.95%? Assume alpha=0.05.

Also is there sufficient evidence to suggest that the variance is greater than 0.085? Assume alpha=.01.

First, calculate the mean (M), variance (V), and standard deviation (SD) of the observed sample.

Next, test whether the observed mean is significantly different from 2.95. Since this is a small sample (n=12), you will need to use a Students t distribution table (Your stats book probably has such a table). Your question implies a 2-tailed test with alpha=.05, so find the t-value which accounts for 97.5% of sample with (n-1) degrees of freedom. In my table, i get 2.201. Is your observed mean M within 2.201*SD of the target value of 2.95?

2) I get a variance (V) of 0.011, which of course, is less than .085. So no, there is not sufficient evidence to suggest the actual variance is greater than .085. That said, such a test would use a Chi-squared distribution table. I believe the chi-squared statistic is ((n-1)*V/.085)

**Answer this Question**

**Related Questions**

stats - You took a 5-question multiple choice quiz with 4 choices for each ...

Math - A multiple choice quiz contains five question. Each question has four ...

Physics - this question came up in my work, and i dont remember reading about it...

advanced functions - I need help figuring this question out please :) log2=log(x...

To Ms. Sue - Ms. Sue, I had a question yesterday about stress, and I still ...

Calculus - MathMate Please help - I asked this question on last thursday and u ...

math (stats) - A biology professor gives a surprise quiz consist of a true/false...

statistics - 3. Measurements on the percentage of enrichment of 12 fuel rods ...

Statistics - Measurements on the percentage of enrichment of 12 fuel rods used ...

English - I m doing an analysis question on a poem called Question by May ...