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1) For each of the following scenarios, define the null hypothesis (H 0) and the

ID: 3149875 • Letter: 1

Question

1) For each of the following scenarios, define the null hypothesis (H 0) and the alternate hypothesis (H 1 ): (a) The mean edge crush st rength 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 specific ation 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: In addition to listing the hypotheses on the cover sheet, include a short explanation of th e reason(s) for choosing those hypotheses as part of your supplementary materials.

Explanation / Answer

1.a)The null hypothesis is:

H0: The mean strength is 32 pounds per inch

Against the alternative hypothesis:

H1: The mean strength is at least or greater than 32 pounds per inch

This is a right tailed test

b) The null hypothesis is:

H0: The mean saline concentration is 4.5% saline

Against the alternative hypothesis:

H1: The mean saline concentration is not 4.5% saline

This is a both tailed test.

c) The null hypothesis is:

H0: The standard deviation of time is 6 seconds

Against the alternative hypothesis:

H1: The standard deviation of time is greater than 6 seconds

This is a right tailed test.