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Stats part 1

# Stats part 1 - Problem 10.79 All of the data provided is...

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Problem 10.79 All of the data provided is not normally distributed. This was determined via the  distribution plots of all variables (Boston and Vermont shingles.) They did not show a  normal distribution because the central tendency was not equal, they were not bell  shaped, and they did not have an infinite range as shown below.  1

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Taking into effect that these are not normally distributed, the F-test is not appropriate for  this set of data, because the f test is extremely sensitive to the normality assumption.  Therefore the T- test is a more accurate representation of the Boston and Vermont  shingles.  In all cases we reject for the T- test. This is due to the fact that the p value in  all cases was less than 0.05: for pallets it was zero for both and for granules it was  0.00121 and 0.002421. F-Test Two-Sample for Variances for Pallet t-Test: Two-Sample Assuming Unequal Variances for Pallet 2
Boston Vermont Boston Vermont Mean 3124.215 3704.042 Mean 3124.215 3704.042 Variance 1204.992 2185.032 Variance 1204.992 2185.032 Observations 368 330 Observations 368 330 df 367 329 Hypothesized Mean Difference 0 F 0.551476 df 603 P(F<=f) one-tail 1.6E-08 t Stat -184.321 F Critical one-tail 0.838318 P(T<=t) one-tail 0 a 1.647385 P(T<=t) two-tail 0 t Critical two-tail 1.963906 F-Test Two-Sample for Variances for Granule t-Test: Two-Sample Assuming Unequal Variances for

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