9.54 Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be locate by 2-day mail instead. Exceptions are allowed, but they involve the mediocre to be 10 or below. The firm examined 35 waterlogged chosen fax transmissions during the next year, yielding a defend in mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 train of significance, is the full-strength mean greater than 10? (b) persona jump out to find the right-tailed p-value. (a) At the .01 level of significance, is the true mean greater than 10? Sure, the true mean is greater than 10. (b) Use outmatch to find the right-tailed p-value. Hypothesis Test: correspond vs. Hypothesized Value 10.0000 14.4400 4.4500 0.7522 35 34 5.90 5.76E-07 hypothesized value mean determine std. dev. std. defect n df t p-value (one-tailed, upper) 9.56 A currency was flipped 60 measure and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? utter your decision rule and calculations. (b) Calulate a p-value and map it. Hypothesis tribulation for proportion vs hypothesized value Observed 0.6333 38/60 38. 60 Hypothesized 0.5 30/60 30. 60 0.0645 2.07 0.0389 p (as decimal) p (as fraction) X n std. error z p-value (twotailed) The important valuation for the 2-tailed evidence is 0.

05 or 0.10 for the 1-tailed testing (that means in support of heads). The test statistic z* is observed as the adaptation between the seen proportionality and test proportionality = 0.633 - 0.50 = 0.1333, divided by the standard error of the ratio (SE). The SE for a ratio is ident! ified as the SQRT (pq/n), where p and q were the ratio and 1proportion described anterior (0.633 and 0.3667). We obtain an SE valuation of 0.06455 It helps to make the test statistic z* = 0.133/0.06455 = 2.0656 Applying one-sided prospect of 0.0194 or 1.94%, that is less(prenominal) than the 0.10 alpha level. The 2-tailed probability is two times this quantity or 0.0389, that is also less than ? =0.10. We will give over from the NULL theory and...If you want to get a unspoilt essay, order it on our website:
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