The National Institute of Standards and Technology NIST supp

The National Institute of Standards and Technology (NIST) supplies a “standard iron rod” whose electrical conductivity is supposed to be exactly 10.1. Is there reason to think that the true conductivity is not 10.1? To find out, NIST measures the conductivity of one rod 6 times. Repeated measurements of the same thing vary, which is why NIST makes 6 measurements. These measurements are an SRS from the population of all possible measurements. This population has a Normal distribution with mean equal to the true (given the population standard deviation is 0.1).

Step 1:
One set of measurements has mean conductivity x = 10.09.
Enter this x, along with the other required information, into the P-Value of a Test of Significance Applet.
What is the P-value?
Give your answer to 2 decimal places.
Fill in the blank: __________

Step 2:
Is this outcome statistically significant at the = 0.05 level? At the = 0.01 level?

Enter the number of the term that corresponds to each choice:

1. ______ At the 0.05 level

2. ______ At the 0.01 level

Step 3:
Another set of measurements has x = 9.95.
Use the applet to find the P-value for this outcome.
Give your answer to 4 decimal places.
Fill in the blank: __________

Step 4:
Is it statistically significant at the = 0.05 level? At the = 0.01 level?

Enter the number of the term that corresponds to each choice:

1. _______ At the 0.05 level

2. _______ At the 0.01 level

Solution

Step 1

p value is 0.82. excel is used to calculate this.

step 2

since p value is > 0.05, the result is not significant at both 5% and 1% level of significance.

1. ___2____ At the 0.05 level

2. ____2___ At the 0.01 level

Step 3

p value is 0.0144

step 4

since p value is < 0.05, the result is significant at both 5% and 1%

.

1. ____1___ At the 0.05 level

2. ____1___ At the 0.01 level