pag 1 An energy drink company selis cans that are supposed to contain 10 ounces

Question

pag 1 An energy drink company selis cans that are supposed to contain 10 ounces of energy drink. Periodically, the company gets complaints that their cans are underfilled. To test this claim, the energy drink company randomly samples n 23cans and calculates the average amount of energy drink in the cans to be 9.8 ounces with a standard deviation s = .4 ounce. Calculate the appropriate test statistic. 9.8-10 10-9.8 10-9.8 9.8-10 9.8-10 2) A paint manufacturer wished to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times, in hours, were recorded. The sum mary statistics are as follows. Use 16 degrees of freedom. Type Al Type B x1-74.7 x2-63.2 S1-45 |s2-5.1 n1-11 | n2=9 Determine a 98% confidence interval for the difference, 1-p2, between the mean drying time for type A and the mean drying time for type B. A) 5.88 to 17.12 hours B) 5.95 to 17.05 hours C) 6.02 to 16.98 hours D) 6.18 to 16.82 hours 3) A coffee house owner knows that customers pour different amounts of coffee into their cups. She samples cups from 10 costumers she believes to be representative of the customers and weighs the cups, finding a mean of 12.5 ounces and standard deviation of 0.5 ounces. Assuming these cups of coffee can be considered a random sample of all cups of coffee which of the following formulas gives a 95% confidence interval for the mean weight of all cups of coffee? 0.5 A) 12.5 B) 125 C) 12.5+1.9605 D) 12.5 ± 2.2281 E) 12.5 ± 2.2281 10 0.5 0.5 10

Explanation / Answer

#1.

Test statistics, t = (9.8 - 10)/(0.4/sqrt(23))

Option A

#2.

Option (A) is correct

x1(bar) 74.70 x2(bar) 63.20 s1 4.50 s2 5.10 n1 11 n2 9 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 1.8409 (s22/n2) 2.8900 SE 2.1751

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