A Machine That Is Programmed To Package 1 95 Pounds Of Cereal In Each Cereal Box Is Being Tested For Its Accuracy In A 1 (41.16 KiB) Viewed 11 times
A Machine That Is Programmed To Package 1 95 Pounds Of Cereal In Each Cereal Box Is Being Tested For Its Accuracy In A 2 (44.93 KiB) Viewed 11 times
A machine that is programmed to package 1.95 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 26 cereal boxes, the mean and the standard deviation are calculated as 1.99 pounds and 0.15 pound, respectively. (You may find it useful to reference the appropriate table: z table or ttable) a. Select the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes. O Ho: O Ho: Ho: 1.95; A: < 1.95 > 1.95 1.95 Test statistic s 1.95; HA: 1.95; BA: b-1. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) b-2. Find the p-value. O 0.05 p-value < 0.10 s S 0.02 p-value < 0.05 O 0,01 < p-value < 0.02 Op-value 20.10
b-2. Find the p-value. O 0.05 p-value <0.10 0.02 s p-value < 0.05 0 0.01 s p-value < 0.02 Op-value > 0.10 O p-value < 0.01 S c-1. What is the conclusion at the 10% significance level? Reject Bo since the p-value is greater than significance level. O Reject Ho since the p-value is smaller than significance level. O Do not reject # since the p-value is greater than significance level. O Do not reject # since the p-value is smaller than significance level. c-2. Can you conclude that the machine is working improperly? O Yes O NO
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