A seniоr-level mаnufаcturing engineer wаnts tо verify the sоftware results provided by his team evaluating whether a surface‑finishing process has altered the mean thickness of a protective coating before including them in a formal process‑change report. Here are the details: Target (historical) mean thickness: μ₀ = 125 microns A random sample of 12 components is collected after the process change. The engineer performs a two‑tailed one‑sample t‑test using statistical software. Using the data and software output below, complete the following checks. Software Output One-Sample T: Coating Thickness Test of mu = 125 vs not = 125 Variable N Mean StDev SE Mean 95% CI T-Value DF P-Value Thickness 12 128.4 4.1 [BLANK-1] (125.8, 131.0) [BLANK-2] 11 0.015 Tasks (a) Compute the standard error (SE) of the sample mean. (b) Compute the t‑statistic. (c) Based on your calculations and the reported P‑value, what is the best conclusion? Reject, Accept, or Fail to Reject? [BLANK-3] Note: Round to 2 decimals
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