# Stats II

posted by .

I have a question on a quiz and I don't even know where to begin on figuring out the question... please help:

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)

## Similar Questions

1. ### science

_____ contain a fuel, rods to control nuclear reactions, and a cooling system. Would Nuclear reactor work?
2. ### Chemistry

42. Tell the function of the moderator and control rods in a nuclear reactor. I found this answer on google..is it correct?
3. ### Japan's Nuclear Crisis

How does nuclear fission create energy? Nuclear energy is produced through the splitting, or fission, of a uranium atom in the core of a nuclear reactor. When hit by a neutron, the atom divides and releases two other neutrons, as well
4. ### Physical Science

What fuel other than uranuin can be used in a nuclear reactor?
5. ### math

The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this cross-section showing 19 identical fuel rods: a) If the diameter of the cylindrical shell is 12.35 cm, calculate the shaded area …
6. ### Maths

The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this cross-section showing 19 identical fuel rods: a) If the diameter of the one rod is 2.8cm, calculate the shaded area of the cross-section. …
7. ### CHEM

Pu-239 has a half-life of 24110 y. If 1.00 kg of this isotope is present in the used fuel rods of a nuclear power plant approximately how long will it take for this amount of Pu-239 to decay until there is less than 1 mg left ?
8. ### Statistics

Measurements on the percentage 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 a. Test the Hypothesis H0: µ = 2.95 versus H1: µ 0 ≠ …
9. ### statistics

3. Measurements on the percentage 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 a. Test the Hypothesis H0: µ = 2.95 versus H1: µ 0 ≠ …
10. ### Chemistry

The most abundant isotope of uranium,238U , does not undergo fission. In a breeder reactor, however, a 238U atom captures a neutron and emits two beta particles to make a fissionable isotope of plutonium, which can then be used as …

More Similar Questions