The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal.At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal.Which of the following is a statement of the alternative hypothesis?

The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal.Which of the following is a statement of the null hypothesis? The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces. The machine is not putting enough cereal in the boxes. The average is less than 24 ounces. The machine fills the boxes with the proper amount of cereal. The average is 24 ounces.

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is deviation of 0.059 ounce.Complete parts (a)and(b) State the null and alternative hypotheses. H0μ= 8.17 H1:μ≠8.17 Determine the test statistic. The test statistic is

The amount of cereal in boxes, packed by a particular machine, is normally distributed with mean µ gram andstandard deviation 5 gram. If the advertised weight of a box is 500 gram, find(i) the proportion of boxes that will be underweight (i.e. weight less than 500 gram) when µ = 505;(ii) the value of µ required to ensure that only 1% of the boxes are underweight.(b) As a check on the setting of the machine a random sample of four boxes is chosen and the setting changed if theaverage weight of the four boxes is less than 500 gram. Find the probability that the setting of the machine ischanged when µ = 505.

A sheet metal manufacturer is making 10-gauge sheet metal, which is supposed to be 3.416 mm thick. One of the pieces of manufacturing equipment was suspected of malfunctioning, so the manufacturer tested a random sample of 100 pieces of steel to make sure the average steel thickness is 3.416 mm.Which of the following is a statement of the alternative hypothesis?

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces.Suppose that in a particular sample of 50 packages,the mean amount dispensed is 8.168 ounces,with a sample standard deviation of 0.059 ounce.Complete parts(a)and(b). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 。○ State the null and alternative hypotheses H0μ=8.17 H1μ≠8.17 (Type integers or decimals.) Identify the critical value(s). The critical value(s)is(are)-2.6800,2.6800 (Round to four decimal places as needed.Use a comma to separate answers as needed.) Determine the test statistic.