1. Two completely different gauges can be used to measure the depth of bath material in a Hall cell used in smelting aluminum. The gauges are from different manufactures and each gauge is used once and to conduct the measurement. The data from the two gauges is below and also included in worksheet P5 on the final template.Apply the proper test to determine whether the data support the claim that the two gauges produce the same mean bath depth readings. Conduct the test at alpha = 0.01 level of significance. provide answers for the questions below:

State the Null Hypothesis

(Critical Test Statistic Value)

(Calculated Test Statistic Value)

(p value)

(Decision: Reject or Accept Ho)

Cell	Gauge 1	Gauge 2
1	46	47
2	50	53
3	47	45
4	53	50
5	49	51
6	48	48
7	53	54
8	56	53
9	52	51
10	47	45
11	49	51
12	45	45
13	47	49
14	46	43
15	50	51