A statistical program is recommended. According to an article the submerged arc welding (SAW) process is commonly used for joining thick plates and pipes. The heat affected zone (HAZ), a band created within the base metal during welding, was of particular interest to the investigators. Here are observations on depth (mm) of the HAZ both when the current setting was high and when it was lower. Non-high 1.02 1.17 1.24 1.69 1.91 1.98 2.34 2.48 2.72 1.38 1.42 1.54 1.68 1.95 2.09 2.57 2.61 2.85 High 1.54 2.01 2.01 2.02 2.37 ITHER 2.55 2.95 2.97 2.97 (c) Does it appear that true average HAZ depth is larger for the higher current condition than for the lower condition? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Use , for the higher current condition and u, for the lower current condition.) State the relevant hypotheses. O Ho: H1 - H2 = 0 Hai My - H2 0 Ha: H1 - 12 = 0 OH: H1 - H2 = 0 Ha : H 1 - H2 = 0 O Ho: H1 - H2 0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data suggests that the true mean HAZ depth is larger when the current setting is higher. O Fail to reject Ho. The data does not suggest that the true mean HAZ depth is larger when the current setting is higher. O Reject Ho. The data suggests that the true mean HAZ depth is larger when the current setting is higher. O Reject Ho. The data does not suggest that the true mean HAZ depth is larger when the current setting is higher