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State the hypotheses, the direction, the p-value, the decision and the conclusion

Production process is considered to be under control if the machine parts it makes have a mean length of 35.50 mm with a standard deviation of 0.45 mm. Whether or not the process is under control is decided each morning by a quality control engineer who bases his decision on a random sample of size 36. Should he ask for an adjustment of the machine on a day when he obtains a mean of 35.62 mm? Use a level of significance of .05.

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Ho: He need not adjust the machine
Ha: He needs to adjust the ...

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