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Math Help - True mean

  1. #1
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    True mean

    Reaching out for help!! Please!

    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 45 randomly chosen fax transmissions during the next year, yielding a sample mean of 11.44 with a standard deviation of 3.15 pages. At the .01 level of significance, is the true mean greater than 10? Explain your decision
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  2. #2
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    Quote Originally Posted by sebchase0625 View Post
    Reaching out for help!! Please!

    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 45 randomly chosen fax transmissions during the next year, yielding a sample mean of 11.44 with a standard deviation of 3.15 pages. At the .01 level of significance, is the true mean greater than 10? Explain your decision
    H0: \mu < 10
    H1: \mu > 10

    Use t-distribution (why?). What's the critical value for t (df = 44) when \alpha = 0.01?

    t = \frac{11.44 - 10}{3.15/\sqrt{45}} = \, .... Is this value larger or smaller than the critical value? What does this mean with regards to accepting or rejecting H0?
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