Answer Happy

I'm struggling to find the p-values for the data below! The
experts that have answered my question previously did not get the
right answers neither. Please show your work on how to get the
p-value.I need a really good step-by step solution, I've been stuck
on this problem. Quality Associates, Inc., a consulting firm,
advises its clients about sampling and statistical procedures that
can be used to control their manufacturing processes. In one
particular application, a client gave Quality Associates a sample
of 800 observations taken during a time in which that client's
process was operating satisfactorily. The sample standard deviation
for these data was 0.21; hence, with so much data, the population
standard deviation was assumed to be 0.21. Quality Associates then
suggested that random samples of size 30 be taken periodically to
monitor the process on an ongoing basis. By analyzing the new
samples, the client could quickly learn whether the process was
operating satisfactorily. When the process was not operating
satisfactorily, corrective action could be taken to eliminate the
problem. The design specification indicated the mean for the
process should be 12. The hypothesis test suggested by Quality
Associates follows. H0: 𝜇 = 12 Ha: 𝜇 ≠ 12 The level of significance
is 0.01 Sample 1. Find the test statistic and p-value Sample 1.
test statistic= 2.43 p-value =??? Sample 2 Find the test statistic
and p-value. test statistic = -3.46 p-value = ??? Sample 3 Find the
test statistic and p-value. test statistic = p-value =?? Sample 4
Find the test statistic and p-value. test statistic = p-value = ??
Standard deviations: sample 1 s = 0.20610899917333 sample 2 s =
0.20717059437192 sample 3 s = 0.2203560337481 . sample 4 s =
0.2203560337481
Sample 1 Sample 2 Sample 3 Sample 4 12.03 11.89 11.56 11.63 12.03 11.34 11.63 11.70 12.06 11.73 11.53 11.60 12.19 11.93 11.76 11.83 12.12 12.12 11.91 11.98 12.08 11.70 11.65 11.72 log 12.06 11.59 11.81 11.88 11.65 11.83 12.04 12.11 12.40 12.14 11.95 12.02 11.66 11.89 11.93 12.00 12.12 12.10 12.14 12.21 11.91 11.59 12.10 12.17 12.23 12.19 11.94 12.01 11.89 11.54 12.22 12.29 12.04 11.93 12.33 12.40 12.36 11.99 11.94 12.01 12.10 12.04 11.86 11.93 11.78 11.74 11.77 11.84 12.21 11.80 12.17 12.24 11.80 12.10 ... 11.78 11.85 12.31 11.58 12.01 12.08 12.28 11.93 12.05 12.12 12.30 11.94 11.99 12.06 12.48 12.20 12.31 12.38 12.04 11.73 12.19 12.26 12.18 11.94 11.98 12.05 11.95 11.93 12.18 12.25 11.98 11.87 11.86 11.93 12.24 11.86 12.31 12.38 12.26 11.91 12.16 12.23