The following question need to answer and correct some of them which I did it you will see it when i upload the document

1. A) Quality control records show that the average tablet weight to be 501 mg with a standard deviation of 5.3. There are sufficient data so that these values may be considered known parameters (population mean and std. dev.). A new batch shows the following weights from a random sample of six tablets: 500, 499, 493, 497, 504 and 495 mg . Do you believe that the new batch has a different mean from the process average?

(b)Two batches of tablets were prepared by two different processes. The potency determinations made on six tablets from each batch were as follows: batch A: 5.1, 4.9, 4.6, 5.3, 5.5, 4.7; batch B: 4.8, 4.8, 5.2, 5.0, 4.5,4.4 Test to see if the means of the two batches are equal.

(c)What is the answer to part (a) if the variance was unknown. Place a (i) 95% and (ii) 99% confidence interval on the true average weight.

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3. The number of days since the appearance of a tumour in an animal, and the size of the tumour, are shown below:

Days 14 16 19 21 23 26 28 30 33

Size(cm3) 1.25 1.90 4.75 5.45 7.53 14.5 16.7 21.0 27.1

Construct the best regression that you can find, and use the model to estimate the size of the tumor after 24 days.

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5- A batch of finished products comprised of 150,000 units.

AQLs are agreed and set at 0.65 % for major defects and 2.5 % for minor defects by the customer.

There have been no prior quality issues noted with the production.

Indicate an appropriate sampling plan outlining the following:

a.The sampling level.