Question

A machine that is programmed to package 2 20 pounds of cereal n oach cereal box is being tested for Rs acuracy In a hnmple or 2n cereal boxes, the meon and the standard deviation are calculated as 2.26 pounds and 0 20 pound, respectively (You may find useful to reference the appropriste toble: toble or t toble a. Select the null and the alternative hypotheses to determine if the machine is workrg improperly that is,ョis either underfihng or overfilling the cereal boxes OHo: μ 2.2.20; 14: μ < 2.20 on: μ s 2.20; HA : μ > 2.20 OHo: μ-2.20; 14: μ. 2.20 b-1. Cokculate the value of the test statistic (Round intermediate celculetions to at least 4 decimal places and finel answer to 2 decimal places Test statisto b-2. Find the pvalue 005spvalue0 10

Answer 1

Given that, x-2.26, s 0.20, n-28 a) Null and the alternative hypothesis: Significance level,a 0.10 b-1) Test statistic: x-μ Nn 2.26-2.20 0.20 V28 1.59 The degree of freedom is df-n-1 15-1-27

The p-value is TDİST(1.59, 27, 2) MS-Excel formula 0.1235 b-2) Looking up the t-table, with df 27, the test statistic value 1.59 is falls between the 1.703 and 1.314 Thus, the p-value 2 0.10 C-1) Conclusion: Do not reje c-2) Therefore, there is no sufficient evidence that machine is working improperly. ANSWER: No et H. Since the p-value is greater than level of significance.