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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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