The significance level of 0.01, is the actual average is over 10? ?
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more, must be mailed two days instead. Exceptions are allowed, but you want the average 10 or less. The firm examined Fax transmissions 35 randomly selected over the next year, giving an average sample of 14.44 with a standard deviation of 4.45 pages. (A) The level significance of 0.01, is the actual average is over 10? (B) Use Excel to find the tail
(A) Answer: Yes! The "half truth" of faxing a significance level of 0.01 is more than 10 pages. (B) Answer: Excel TDIST = (5.9,34,1) is [5.80638E-07] the value of "right-tail" Why test sample of one side only, 7 – Step t distribution, "evidence of a tail." 1 The parameter of interest: "Μ" population = Average number of fax transmission of Page 2. The null hypothesis Ho: μ = 10 3. Have alternative hypothesis: μ> 10 4. Test formula statistic: T = (X-bar – μ) / (s / sqrt (n)) X-bar = estimate of population mean (statistical average of the sample) [14.44] n = number of individuals in the sample [35] s far from the standard sample = [4.45] μ = population mean [10] (used for statistical test) 5. Formula calculation test t = 5.90 6. Determination of P value: The test is based on n -1 = 34 df (degrees of freedom). Table "query" value shows area 34 DF under the curve to the right of t = 5.9 is (approximately) 0.0000006 7. Conclusion: with significance value α = 0.01 shown above P-value <= α, [0.0000006 <= 0.01]. The null hypothesis Ho: μ = 10 should be rejected. Fax transmissions are at a significance level of 0.01 more 10 pages.
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