# Mathematics

A sample of twenty boxes of breakfast cereal delivers a mean weight of 14.9 ounces with a sample standard deviation of 0.3 ounces. Since the label weight of these boxes is 15 ounces, the quality assurance department wants to determine if there is a true weight problem, so they determine the confidence interval at 95% confidence to be ________. (Points : 2)
14.77 – 15.03 ounces
14.70 – 15.10 ounces
14.87 – 14.93 ounces
14.6 – 15.2 ounces

Question 23.23. What is the value of the finite population correction factor when a sample size of 125 was taken from a finite population of 500? (Points : 2)
0.75
1.15
0.87
1.33

24. A major consumer products company wants to measure the quality of the packaging of their products on the store shelves. In a chain grocery store, all of the packages of a 15-ounce Wild Berry shampoo and all of the packages of a 4-ounce Man-O-Manly deodorant are sampled. What sampling method is being used for this sampling plan? (Points : 2)
cluster sampling
simple random sampling
continuous sampling
protracted random sampling

25. A Type I error occurs when ________. (Points : 2)
the null hypothesis is actually false, but the hypothesis test incorrectly fails to reject it
the null hypothesis is actually true, and the hypothesis test correctly fails to reject it
the null hypothesis is actually false, and the hypothesis test correctly reaches this conclusion
the null hypothesis is actually true, but the hypothesis test incorrectly rejects it

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