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## Statistics

Hypothesis testing for one sample mean.

Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more must be sent by 2-day mail instead. Exceptions are allowed, other than they want the average to be 10 or below. The firm examined 35 arbitrarily chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.

(a) At.01 level of significance, is the true mean greater than 10?

(b)  Use Excel to find the right-tail p-value.

 Hypotheses H0: _ = 10 vs. _ > 10 Level of Significance: 0.01 Decision Rule Reject the null hypothesis if p-value < 0.01 Calculation: Hypothesis Test: Mean vs. Hypothesized Value Hypothesized value 10.000 Mean Sample 14.400 Std. dev. 0.752 n 35 5.85 Z 2.46E P-value

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M918212

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