For each of the following scenarios, define the null hypothesis (H0) and the alt

Question

For each of the following scenarios, define the null hypothesis (H0) and the alternate hypothesis (H1): (a) The mean edge crush strength of corrugated cartons is being investigated to see if they meet the standard that the mean strength must be at least 32 pounds per inch (b) The mean saline concentration in a shipment of 1 gallon containers is tested to see if the containers meet the specification of 4.5% saline (c) The standard deviation of the time to complete a seam weld is tested to check if it is exceeding the planned amount of 6 seconds. Note: For #1, in addition to listing the hypotheses on the cover sheet, include a short explanation of the reason(s) for choosing those hypotheses as part of your supplementary materials.

Explanation / Answer

a)

Ho: u >= 32
Ha: u < 32

We use u < 32 for Ha because the corrugated cartons are being tested for being too weak. Hence, we conclude it is too week if we have sufficient evidence only.

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B)

Ho: u = 4.5
Ha: u =/= 4.5

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c)

Ho: sigma <= 6
Ha: sigma > 6

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