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Week 2 E-text assignments

Week 2 E-text assignments - 9.54 Faced with rising fax...

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9.54 Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the right-tail p -value. A) Null Hypothesis: H 0 = 10 and H 1 > 10 Significance level is .01 so Z0.025 = 2.3263 Z = (x – μ) / σ x where σ x = σ / sqrt n Z = 14.44 – 10 / (4.45 / sqrt 35) Z = 5.903 Reject the null hypothesis if the true mean is not = to 10. B) Using the TDIST function in excel where x = 5.903, Deg of Freedom = 34 and Tails = 1 excel found the right tail p-value to be .00000057579 9.56 A c oin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p -value and interpret it.
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